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PDEs, Potential Theory and Function Spaces

För att hedra minnet av Lars Inge Hedberg (1935–2005) som var professor vid MAI 1984–2005, anordnades 14–18 juni en konferens med omkring 100 deltagare.

Syftet med konferensen var att presentera state-of-the-art i dessa tre nära- liggande områdena, som har en lång tradition vid Linköpings universitet. Målet var att sammanföra experter samt unga forskare som är intressera- de av dessa frågor för att främja samarbete mellan dessa ämnen, liksom inom dem.

46 Forskning

nyi (Technion, Haifa), Maria J. Carro (University of Barcelona), Fer- nando Cobos (Universidad Complutense de Madrid), Michael Cwikel (Technion, Haifa), Ugo Gianazza (Università di Pavia), Pekka Koske- la (Jyväskylä University), Ari Laptev (Imperial College London och In- stitut Mittag-Leffler), John Lewis (University of Kentucky, Lexington), Jan Malý (Charles University, Prague), Olli Martio (University of Helsin- ki), Mieczysław Mastyło (Adam Mickiewicz University, Poznań), Marius Mitrea (University of Missouri, Columbia), François Murat (Université Pierre et Marie Curie, Paris), Alexander Nazarov (St. Petersburg Depart- ment of Steklov Institute och St. Petersburg State University), Grigori Rozenblioum (Chalmers University of Technology, Göteborg), Evgeniy Semenov (Voronezh State University), Nageswari Shanmugalingam (Uni- versity of Cincinnati) och Dimitri Yafaev (University of Rennes).

PPF-2015, 14–18 juni Foto: Ingegerd Skoglund

I organisationskommittén ingick Irina Asekritova, Elaine Billberg, Anders Björn, Jana Björn, Vladimir Kozlov, Natan Kruglyak och Luba Kulesh.

Konferensbidrag

Arnlind, Joakim, Riemannian curvature of noncommutative spheres, ”Workshop on the Geometry of Noncommutative Manifolds”, Toronto, Kanada, 14–23 mars 2015.

Arnlind, Joakim, Riemannian curvature of the noncommutative 3-sphe- re, ”Bayrischzell Workshop: Quantization, geometry and Mathematical Physics”, Bayrischzell, Tyskland, 29 maj – 1 juni 2015.

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Asekritova Irina, Interpolation of Fredholm operators and Lions-Mage- nes problem, ”Banach Spaces and Their Applications in Analysis”, CIRM, Lumini, Frankrike, 12–16 januari 2015.

Asekritova, Irina, On interpolation of Fredholm Operators, ”Workshop on Function Spaces, Harmonic Analysis and Related Topics”, Karlstad, 27–30 april 2015.

Asekritova, Irina, Recent results on interpolation of Fredholm opera- tors, ”Conference in Analysis in Honor of Yoram Sagher”, Boca Raton, USA, 1–4 juli 2015.

Asratian, Armen, Transformations of edge colorings of graphs and their application in scheduling, ”ECCO XXVIII-2015, 28th Conference of the European Chapter on Combinatorial Optimization”, University of Cata- nia, Italien, 28–30 maj 2015.

Björn, Jana, Boundary regularity for quasiminimizers, ”Workshop on Analysis and Geometry in Metric Spaces”, Madrid, Spanien, 1–5 juni 2015.

Björn, Jana, Boundary regularity for quasiminimizers, ”Workshop on Geometrical Analysis, dedicated to the 60th birthday of Jan Maly”, Prag, Tjeckien, 18–20 september 2015.

Burdakov, Oleg, Label-correcting algorithms for solving large hop-con- strained shortest path problems, ”Summer School on Operational Research and Applications”, Nizhny Novgorod, Ryssland, 12–16 maj 2015. Burdakov, Oleg, A large-scale hop-constrained shortest path algorithms for optimal placement of unmanned aerial vehicles, ”Summer School on Operational Research and Applications”, Nizhny Novgorod, Ryssland, 12–16 maj 2015.

Burdakov, Oleg, A bi-criteria approach to solving huge hop-constrained Steiner tree problems, ”The 5th International Conference on Network Analysis”, Nizhny Novgorod, Ryssland, 18–20 maj 2015.

Burdakov, Oleg, Quasi-Newton multipoint and interpolation methods with line search for solving nonlinear equations, ”ISMP 2015, The 22nd

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International Symposium on Mathematical Programming”, Pittsburgh, USA, 12–17 juli 2015.

Burdakov, Oleg, A reduction of cardinality to comlementarity in spar- se optimization, ”The 10th International Conference on Numerical Opti- mization and Numerical Linear Algebra”, Yanan, Shaanxi Province, Kina, 5–8 augusti 2015.

Burdakov, Oleg, New network optimization techniques for positioning unmanned aerial vehicles as communication relays for surveillance tasks, ”The 2nd International Conference on Computational and Experimental Science and Engineering”, Antalya, Turkiet, 14–19 oktober 2015.

Frejd, Peter, Mathematical modelling as a professional activity — les- sons for the classroom, ”ICTMA-17”, Nottingham, Storbritannien, 19–24 juli 2015.

Frejd, Peter, Exploring the notion of mathematical literacy in cur- ricula documents, ”ICTMA-17”, Nottingham, Storbritannien, 19–24 juli 2015.

Frejd, Peter, Initial result from an intervention: Affordances and con- straints of an app for smartphones and tablets, ”ICTMA-17”, Nottingham, Storbritannien, 19–24 juli 2015.

Ghasemi Zinatabadi, Fatemeh, Coupling requirements for well-posed and stable multi-physics problems, ”BIT-Circus 2015, Numerical Mathe- matics and Computational Science”, Umeå, 26–27 augusti 2015.

Hansson, Mikael, The Bruhat order on conjugation-invariant sets of involutions in the symmetric group (poster), ”International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC)”, Daejeon, Sydkorea, 6–10 juli 2015.

Hansson, Mikael, The Bruhat order on conjugation-invariant sets of involutions in the symmetric group, ”European Conference on Combi- natorics, Graph Theory and Applications (EuroComb)”, Bergen, Norge, 31 augusti – 4 september 2015.

Holmberg, Kaj, Heuristics for the weighted k-Chinese/rural postman problem (with a hint of fixed costs), ”27th European Conference on Ope- rational Research, EURO 2015”, Glasgow, Skottland, 12–15 juli 2015.

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Holmberg, Kaj, Optimization of urban snow removal with the help of a weighted k-Chinese/rural postman problem, ”Swedish Operations Rese- arch Conference, SOAK 2015”, Västerås, 23 oktober 2015.

Izquierdo, Milagros, Maps, point-circle configurations and pentagonal geometries from Moore graphs, ”AMS Central Spring Sectional Meeting” Michigan State University, East Lansing, USA, 14–15 mars 2015.

Izquierdo, Milagros, On branch loci of moduli spaces of hyperellip- tic Klein surfaces with, ”AMS Central Fall Sectional Meeting”, Loyola University Chicago, Chicago, USA, 2–4 oktober 2015.

Kardell, Marcus, Peakon-antipeakon solutions of the Novikov equation (poster), ”Nonlinear Evolution Equations and Dynamical Systems 2015”, Sardinien, Italien, 23–29 maj 2015.

Kozlov, Vladimir, Trapped modes in graphene nanoribbons, ”Wavegui- des: asymptotic methods and numerical analysis”, Naples, Italien, 21–22 maj 2015.

Kozlov, Vladimir, On bounds and nonexistence in the problem of stea- dy waves with vorticity, ”Days on Diffraction”, St. Petersburg, Ryssland, 25–29 maj 2015.

Kozlov, Vladimir, On bounds and non-existence in the problem of ste- ady waves with vorticity, ”The International Congress on Industrial and Applied Mathematics (ICIAM)”, Beijing, Kina, 10–14 augusti 2015. Kruglyak, Natan, Taut strings, majorization and real interpolation, ”Banach Spaces and Their Applications in Analysis”, Lumini, Frankrike, 12–16 januari 2015.

Kruglyak, Natan, Taut strings and real interpolation, ”Workshop on Function Spaces, Harmonic Analysis and Related Topics”, Karlstad, 27– 30 april 2015.

Kruglyak, Natan, Invariant K-minimal stes: Theory and applications, ”Conference in Analysis in Honor of Yoram Sagher”, Boca Raton, USA, 1–4 juli 2015.

50 Forskning

Kurujyibwami, Celestin, Group classification of linear Schrödinger equations with algebraic method, ”Mathematics in Tecknical and Natural Sciences”, Kościelisko, Polen, 18–24 september 2015.

La Cognata, Cristina, Well-posed boundary conditions for the incom- pressible vorticity equation using a new high order mimetic Arakawa-like Jacobian differential operator, ”SIAM Conference on Mathematical and Computational Issues in the Geosciences”, Palo Alto, USA, 29 juni – 2 juli 2015.

Lifshits, Mikhail, Least energy functions accompanying Brownian mo- tion, ”Probability theory and its applications” (Yu.V. Prokhorov memo- rial conference), Moskva, Ryssland, 12–14 februari 2015.

Lifshits, Mikhail, Approximation complexity of random fields of incre- asing parametric dimension, Workshop ”IBC and model selection”, Paris, Frankrike, 9–10 april 2015.

Lifshits, Mikhail, Bifractional Brownian motion: existence and bounda- ry processes, ”Analytic tools in probability and applications”, Minneapo- lis, USA, 27 april – 1 maj 2015.

Linders, Viktor, Uniformly best wavenumber approximations by spatial central difference operators, ”The 12th International Conference on Mat- hematical and Numerical Aspects of Waves (Waves 2015)”, Karlsruhe, Tyskland, 20–24 juli 2015.

Linders, Viktor, Uniformly best wavenumber approximations by spatial central difference operators, ”BIT-Circus 2015, Numerical Mathematics and Computational Science”, Umeå, 26–27 augusti 2015.

Lokharu, Evgeniy, Existence and uniqueness results on steady water waves with vorticity, ”Oberwolfach Workshop on water waves”, Oberwol- fach, Tyskland, 12–18 april 2015.

Lokharu, Evgeniy, Benjamin and Lighthill conjecture for water waves with vorticity, ”Equadiff 2015”, Lyon, Frankrike, 5–11 juli 2015.

Lokharu, Evgeniy, Benjamin and Lighthill conjecture for water waves with vorticity, ”The 12th International Conference on Mathematical and

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Numerical Aspects of Waves (Waves 2015)”, Karlsruhe, Tyskland, 20–24 juli 2015.

Lundquist, Tomas, Local grid refinement in space and time using sum- mation-by-parts schemes, ”The 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015)”, Bejing, Kina, 10–14 augusti 2015.

Löbus, Jörg-Uwe, Analytical, geometric, and stochastic properties of a class of infinite dimensional stochastic processes with unbounded diffu- sion, ”Probability and Analysis”, Bedlewo, Polen, 2–9 maj 2015.

Nikkar, Samira, Boundary conditions for hyperbolic systems of equa- tions on curved erroneous domains, ”The 12th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2015)”, Karls- ruhe, Tyskland, 20–24 juli 2015.

Nordström, Jan, Coupling requirements for well-posed and stable multi- physics problems, ”VI International Conference on Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015)”, Venedig, Ita- lien, 18–20 maj 2015.

Nordström, Jan, Well posed problems and boundary conditions in com- putational fluid dynamics, ”22nd AIAA Computational Fluid Dynamics Conference”, Dallas, Texas, USA, 22–26 juni 2015.

Nordström, Jan, A new well-posed vorticity divergence formulation of the shallow water equations, ”SIAM Conference on Mathematical and Computational Issues in the Geosciences”, Palo Alto, USA, 29 juni – 2 juli 2015.

Nordström, Jan, New developments for initial boundary value problems involving multi-physics at Linköping University, ”28th Nordic Seminar on Computational Mechanics”, Tallinn, Estland, 22–23 oktober 2015. Nyagahakwa, Venuste, Topology of Vitali selectors on the real line, ”International Conference on Topology”, Messina, Italien, 7–11 september 2015.

Pielaszkiewicz, Jolanta, Test for covariance matrices with use of spectral moments, ”MatTriad 2015 (Conference on Matrix Analysis and its Applications)”, Coimbra, Portugal, 7–11 september 2015.

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Quttineh, Nils-Hassan, A MILP model for order-based continuous casting planning at SSAB, ”22nd International Symposium on Mathe- matical Programming, ISMP 2015”, Pittsburgh, USA, 11–19 juli 2015. Radosavljevic, Sonja, Logistic age-structured population model in chan- ging environment, ”Sixth Workshop Dynamical Systems Applied to Bio- logy and Natural Sciences”, Lissabon, Portugal, 4–6 februari 2015. Radosavljevic, Sonja, Logistic age-structured population model in chan- ging environment, ”Mathematical Models in Ecology and Evolution”, Pa- ris, Frankrike, 8–10 juli 2015.

Radosavljevic, Sonja, On the boundaries of population growth in va- riable environments, ”The 7th Swedish meeting on Mathematics in Bio- logy”, Uppsala, 3–4 december 2015.

Rauch, Stefan, Dynamics of rolling and sliding axially symmetric rigid bodies: Jellett´s egg (JE), Tippe top and Sliding disc (sRD), ”Analytical Mechanics & Differential Geometry”, Università di Torino, Italien, 12–13 mars 2015.

Rauch Stefan, Dynamics of rolling and sliding axially symmetric rigid bodies. Asymptotic solutions and numerical sampling, ”Nonlinear Evolu- tion Equations and Dynamical Systems NEEDS 2015”, Santa Margherita di Pula, Sardinien, Italien, 24–31 maj 2015.

Rauch, Stefan, Rolling and sliding axially symmetric rigid bodies: Jel- lett´s egg (JE), Tippe top and Rattleback, ”Conference on Finite Dimen- sional Integrable Systems in Geometry and Mathematical Physics FDIS 2015”, Banach Mathematical Center, Bedlewo, Polen, 12–17 juli 2015. Ruggiu, Andrea Alessandro, Singularity of the discrete Laplacian operator, ”BIT-Circus 2015, Numerical Mathematics and Computational Science”, Umeå, 26–27 augusti 2015.

Setterqvist, Eric, Buffered real-time communication systems in the taut string framework, ”The 11th Swedish National Computer Networking Workshop”, Karlstad, 28–29 maj 2015.

Setterqvist, Eric, Taut strings and real interpolation, ”PDEs, Poten- tial Theory and Function Spaces”, Linköping, 14–18 juni 2015.

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Singull, Martin, Testing sphericity and intraclass covariance structu- res under a Growth Curve model in high dimension, ”International Works- hop on Matrices and Statistics 2015 (IWMS2015)”, Haikou, Kina, 23–29 maj 2015.

Tjatyrko, Vitalij, On hereditarily reversible spaces, ”Annual Works- hop in Topology”, Nipissing University, North Bay, Kanada, 25–29 maj 2015.

Tjatyrko, Vitalij, On reversible spaces, ”International Conference on Set-Theoretic Topology and its Applications”, Kanagawa University, Yo- kohama, Japan, 24–26 augusti 2015.

Tkatjev, Vladimir, Nonassociative algebras and nonlinear PDEs, ”Mi- nisymposium on Algebras and Algebraic Groups”, Uppsala universitet, 22 maj 2015.

Tkatjev, Vladimir, Invited talk: Nonassociative algebras and cubic mi- nimal cones, ”Recent trends in geometric analysis”, Marseille, Frankrike, 1–5 juni 2015.

Tkatjev, Vladimir, Talk: On the non-vanishing property for real ana- lytic solutions of the p-Laplace equation, ”PDEs, Potential Theory and Function Spaces”, Linköping, 14–18 juni 2015.

Wahlsten, Markus, Robust boundary conditions for stochastic incom- pletely parabolic systems of equations, ”UMRIDA Workshop”, TU Delft, Nederländerna, 12–16 april 2015.

Wahlsten, Markus, An investigation of uncertainty due to stochas- tically varying geometry, ”1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering”, Kreta, Gre- kland, 25–27 maj 2015.

Wahlsten, Markus, Robust boundary conditions for stochastic incom- pletely parabolic systems of equations, ”BIT-Circus 2015, Numerical Mat- hematics and Computational Science”, Umeå, 26–27 augusti 2015. Ärlebäck, Jonas Bergman, At the core of modelling: Connecting, co- ordinating and integrating models, ”CERME9 - 9th Congress of European Research in Mathematics Education”, Prag, Tjeckien, 4–8 februari 2015.

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Ärlebäck, Jonas Bergman, Teachers tools for anticipating student work when teaching modelling, ”ICTMA-17 (The International Commu- nity of Teachers of Mathematical Modelling and Applications)”, Notting- ham, Storbritannien, 19–24 juli 2015.

Ärlebäck, Jonas Bergman, Modelling that matters — How compu- tational media influences the role of modeling in mathematics education, ”ICTMA-17 (The International Community of Teachers of Mathemati- cal Modelling and Applications)”, Nottingham, Storbritannien, 19–24 juli 2015.

Ärlebäck, Jonas Bergman, Initial result from an intervention: Affor- dances and constraints of an app for smartphones and tablets, ”ICTMA- 17 (The International Community of Teachers of Mathematical Modelling and Applications)”, Nottingham, Storbritannien, 19–24 juli 2015. Ärlebäck, Jonas Bergman, Using Fermi problems to invoke higher- order thinking in novel modelling and problem solving situations, ”Foku- serat lärande i matematik (FLM1)”, Växjö, 13–15 augusti 2015.

Konferensdeltagande

Göran Bergqvist, ”AMS/MAA Joint Mathematics Meetings”, San Anto- nio, USA, 10–13 januari 2015.

Göran Bergqvist, ”AAAS Annual Meeting”, San José, USA, 12–16 februari 2015.

Anders Björn, ”Workshop on Geometrical Analysis, dedicated to the 60th birthday of Jan Maly”, Prag, Tjeckien, 18–20 september 2015.

Thomas Kaijser, ”Random Dynamical Systems and Multiplicative Er- godic Theorems”, Banffs International Research Center, Banff, Kanada, 18–23 januari 2015.

Jan Nordström, ”AIAA SciTech 2015”, Kissimmee, Florida, USA, 5–9 januari 2015.

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David Rule, ”Frountiers in Singular Integrals”, Helsingfors, Finland, 1–5 juni 2015.

David Rule, ”Harmonic Analysis and Partial Differential Equations”, Edin- burgh, Storbritannien, 27–31 juli 2015.

Seminarieserier

Analysseminariet

Alexander Nazarov, Steklov Institute och St. Petersburg University, Ryss- land, 6 februari

Sharp constants in the ”boundary” Poincaré inequality Venuste Nyagahakwa, MAI, 13 november

Topology of Vitali selectors on the real line

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