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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…