Forschungsinteressen
Nichtlineare Evolutionsgleichungen
Dynamische Randbedingungen
Funktionenräume
Travelling Waves
Projekt
DFG-Projekt ME 3848/1-1:
Reaktions-Diffusionsgleichungen mit nichtlinearen dynamischen Randbedingungen
Dissertation
M. Meyries: Maximal regularity in weighted spaces, nonlinear boundary conditions, and global attractors. (Karlsruhe 2010) PDF
Preprints
C. G. Gal, M. Meyries: Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type. arxiv
Publikationen
M. Meyries, M. Veraar: Sharp embedding results for spaces of smooth functions with power weights. Studia Mathematica 208 (2012) 257-293 arxiv
M. Meyries: Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions. Nonlinear Analysis 75 (2012) 2922-2935 arxiv
M. Meyries, R. Schnaubelt: Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions. Erscheint in Mathematische Nachrichten arxiv
M. Meyries, R. Schnaubelt: Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights. Journal of Functional Analysis 262 (2012) 1200-1229 arxiv
M. Meyries: Local well posedness and instability of travelling waves in a chemotaxis model.
Advances in Differential Equations 16 (2011) 31-60 arxiv
(Die verlinkten Preprints können sich von den veröffentlichten Versionen unterscheiden.)