326 citations
- Max Planck Institute for MathematicsDE63 papers
- Capital Normal UniversityCN20 papers
- Max Planck SocietyDE14 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- University of BonnDE5 papers
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Showing 2011 · math.APShow all
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math.AP2011★ 12 cited
Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients
Jerome Coville, Nicolas Dirr, Stephan Luckhaus
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear pa…
math.AP2011★ 177 cited
Nonlocal anisotropic dispersal with monostable nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
We study the travelling wave problem J\astu - u - cu' + f (u) = 0 in R, u(-\infty) = 0, u(+\infty) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the exist…
math.AP2011★ 1 cited
Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
Robin Nittka
We prove Hölder continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domai…