3rd Conference on Nonlocal Operators and Partial Differential Equations

Talks

Plenary talks

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    Rodrigo Bañuelos (Purdue University, USA)
    Heat Content Asymptotics for the Fractional Laplacian
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    Matteo Bonforte (Autonomous University of Madrid, Spain)
    Nonlinear and Nonlocal Degenerate Diffusions on Bounded Domains
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    Serena Dipierro (Otto-von-Guericke University Magdeburg, Germany)
    All functions are locally s-harmonic (up to a small error)
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    Mouhamed Moustapha Fall (AIMS Senegal)
    Periodic Constant Nonlocal Mean Curvature curves and surfaces
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    Tomasz Grzywny (Wrocław University of Science and Technology, Poland)
    Heat kernels of regularly/slowly varying convolution semigroups
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    Nestor Guillen (University of Massachusetts Amherst, USA)
    Kinetic equations and weighted inequalities
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    Liviu Ignat (Institute of Mathematics of the Romanian Academy, Romania)
    Long-time behaviour for nonlocal convection-diffusion problems
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    Cyril Imbert (CNRS and École Normale Supérieure, Paris)
    Weak Harnack inequality for the Boltzmann equation without cut-off
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    Espen R. Jakobsen (Norwegian University of Science and Technology, Norway)
    Well-posedness and numerical approximation of distributional solutions of non-local equations of porous medium type
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    Grzegorz Karch (University of Wrocław, Poland)
    Homogeneous Boltzmann equation and the $\alpha$-stable processes
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    Victoria Knopova (V.M. Glushkov Institute of Cybernetics of National Academy of Science of Ukraine)
    On the construction of a Lévy-type process associated with a stable-dominated Lévy-type kernel
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    Tuomo Kuusi (Aalto University, Finland)
    Supersolutions in fractional nonlinear problems
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    Mateusz Kwaśnicki (Wrocław University of Science and Technology, Poland)
    Fractional Laplacian: explicit calculations and applications
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    Giuseppe Mingione (University of Parma, Italy)
    From local to nonlocal potential estimates
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    Giampiero Palatucci (University of Parma, Italy)
    Improved Sobolev embeddings, profile decomposition, and global compactness for fractional Sobolev spaces
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    Enrico Priola (University of Torino, Italy)
    Uniqueness results for SDEs with jumps and Hölder continuous drift term
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    Xavier Ros-Oton (University of Texas at Austin, USA)
    Obstacle problems for integro-differential operators
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    Julio D. Rossi (University of Buenos Aires, Argentina)
    Large solutions for a class of semilinear integro-differential equations with censored jumps
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    Michał Ryznar (Wrocław University of Science and Technology, Poland)
    Heat kernels of unimodal Lévy processes with weak scaling conditions
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    Armin Schikorra (University of Freiburg, Germany)
    Scale invariant O'Hara energies and s-p harmonic maps
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    Russell Schwab (Michigan State University, USA)
    A min-max formula for operators that have the global comparison principle (i.e. elliptic operators)
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    Yannick Sire (Johns Hopkins University, USA)
    Dispersive equations involving the fractional Laplacian
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    Bartlomiej Siudeja (University of Oregon, USA)
    Eigenvalues of Fourier multipliers and generalized tight frames
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    Renming Song (University of Illinois at Urbana–Champaign, USA)
    Heat kernels of non-symmetric discontinuous Markov processes
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    Enrico Valdinoci (Weierstrass Institute, Germany)
    Interior and boundary properties of nonlocal minimal surfaces
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    Rico Zacher (Ulm University, Germany)
    Decay and Harnack estimates for fully non-local diffusion equations

Short talks

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    Mark Allen (University of Texas at Austin, USA)
    Porous Medium Flow with both a Fractional Potential Pressure and Fractional Time Derivative
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    Alexander Bendikov (University of Wrocław, Poland)
    Vladimirov operator: periodic oscilation of the heat kernel
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    Jamil Chaker (Bielefeld University, Germany)
    Regularity of solutions to anisotropic nonlocal equations
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    Hector Chang-Lara (Columbia University, USA)
    Further Time Regularity for Parabolic Equations
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    Bartłomiej Dyda (Wrocław University of Science and Technology, Poland)
    On function spaces and extension results for nonlocal Dirichlet problems
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    Jan Goncerzewicz (Wrocław University of Science and Technology, Poland)
    Porous media equation in tubular domains: large time behaviour of solutions
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    Tomasz Jakubowski (Wrocław University of Science and Technology, Poland)
    Estimates for solutions of fractal Burgers equation
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    Sven Jarohs (Goethe University Frankfurt, Germany)
    Symmetries of solutions to nonlocal problems
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    Agnieszka Kałamajska (University of Warsaw, Poland)
    Strongly nonlinear multiplicative inequalities involving nonlocal operators
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    Kamil Kaleta (Wrocław University of Science and Technology, Poland)
    Intrinsic contractivity properties of relativistic Schrödinger operators
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    Yana Kinderknecht (Butko) (Saarland University, Germany)
    Approximation of subordinate semigroups via the Chernoff Theorem
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    Tomasz Klimsiak (Institute of Mathematics of the Polish Academy of Sciences, Poland)
    Reduced measures for semilinear elliptic equations with Dirichlet operator
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    Dennis Kriventsov (Courant Institute of Mathematical Sciences, USA)
    A Local-Nonlocal Transmission Problem
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    Miłosz Krupski (University of Wrocław, Poland)
    Convection-Diffusion Equations with Random Initial Data
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    Michał Łasica (University of Warsaw, Poland)
    The $l^1$-anisotropic total variation flow
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    Janna Lierl (University of Illinois at Urbana–Champaign, USA)
    Boundary Harnack principle for nonsymmetric stable-like operators on $C^{1,1}$-open sets
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    Jacek Małecki (Wrocław University of Science and Technology, Poland)
    Bessel heat kernel estimates
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    Chenchen Mou (Georgia Institute of Technology, USA)
    Semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in $\mathbf{R}^n$
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    Hyunchul Park (College of William & Mary, USA)
    Two terms asymptotic estimates for spectral heat content for relativistic stable processes in a real line
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    Mihai Pascu (Transilvania University of Brașov, Romania)
    On the equivalence between the Dirichlet and the Neumann problem for the Laplace operator
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    Katarzyna Pietruska-Pałuba (University of Warsaw, Poland)
    Asymptotics of the solutions in nonlocal spatially continuous parabolic Anderson-type models with Poissonian interaction: annealed and quenched behaviour
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    Robert Stańczy (University of Wrocław, Poland)
    Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian
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    Pablo Raúl Stinga (Iowa State University, USA)
    Nonlocal space-time equations and the master equation
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    Karol Szczypkowski (Bielefeld University, Germany)
    Gradient perturbations of non-local operators
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    Paweł Sztonyk (Wrocław University of Science and Technology, Poland)
    Spatial asymptotics at infinity for heat kernels of some nonlocal operators
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    Paul Voigt (Bielefeld University, Germany)
    Nonlocal to local phase-transition for the Dirichlet problem

Posters

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    Joanna Balbus (Wrocław University of Science and Technology, Poland)
    Average conditions for permanence in nonautonomous competitive systems with nonlocal dispersal
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    Bartosz Bieganowski (Nicolaus Copernicus University in Toruń, Poland)
    Nonlinear Schrödinger equations with sum of periodic and vanishig potentials and sign-changning nonlinearities
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    Jørgen Endal (Norwegian University of Science and Technology, Norway)
    $L^1$-contraction for bounded (nonintegrable) solutions of degenerate parabolic equations
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    Tomasz Juszczyszyn (Wrocław University of Science and Technology, Poland)
    Martin kernel for Markov processes
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    Maria Kania-Błaszczyk (University of Silesia in Katowice, Poland)
    Quasi-geostrophic equation in $\mathbb{R}^2$
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    Mariusz Olszewski (Wrocław University of Science and Technology, Poland)
    Reflected Brownian motion on nested fractals
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    Artur Rutkowski (Wrocław University of Science and Technology, Poland)
    Boundary problems for nonlocal operators
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    Rana Tarhini (Paris 12 Val de Marne University, France)
    Study of a family of higher order nonlocal degenerate parabolic equations
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    Pavlo Tkachov (Bielefeld University, Germany)
    Long-time behavior in a doubly nonlocal Fisher-KPP equation
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    Grzegorz Żurek (Wrocław University of Science and Technology, Poland)
    Numerical approximation of the first eigenfunction of the fractional Laplace operator