5 papers
Elliptic Boundary Value Problems and Partial Group Actions
Eske Ewert, Anton Yu. Savin, Elmar Schrohe
We consider a smooth compact manifold with boundary, , embedded in a smooth manifold of the same dimension on which an amenable group acts by isometries. We do not assume $…
Fredholm Criteria for -pseudodifferential Operators
Alexandre Baldare, Anton Yu. Savin, Elmar Schrohe
Let be a compact Lie group that acts smoothly on a closed manifold . Using a general Simonenko principle, we derive a novel criterion for the Fredholm property of -pseudo…
Evolution Equations on Manifolds with Conical Singularities
Elmar Schrohe
This is an introduction to the analysis of nonlinear evolution equations on manifolds with conical singularities via maximal regularity techniques. We address the specific difficul…
Asymptotics of solutions to the porous medium equation near conical singularities
Nikolaos Roidos, Elmar Schrohe
We show that, on a manifold with conical singularities, the asymptotics of the solutions to the porous medium equation near the conical points are determined by the spectrum of the…
Optimal Sobolev Regularity for Second Order Divergence Elliptic Operators on Domains with Buried Boundary Parts
Joachim Rehberg, Elmar Schrohe
We study the regularity of solutions of elliptic second order boundary value problems on a bounded domain in . The coefficients are not necessarily continuous and…