19 citations · 34 across the 6 of their papers we have counts for
7 papers
Maximal Regularity of Parabolic Transmission Problems
Herbert Amann
Linear reaction-diffusion equations with inhomogeneous boundary and transmission conditions are shown to possess the property of maximal Lp regularity. The new feature is the fact…
Population Dynamics in Hostile Neighborhoods
Herbert Amann
A new class of quasilinear reaction-diffusion equations is introduced for which the mass flow never reaches the boundary. It is proved that the initial value problem is well-posed…
Linear Parabolic Equations with Strong Boundary Degeneration
Herbert Amann
As an application of the theory of linear parabolic differential equations on noncompact Riemannian manifolds, developed in earlier papers, we prove a maximal regularity theorem fo…
Cauchy Problems for Parabolic Equations in Sobolev-Slobodeckii and Hölder Spaces on Uniformly Regular Riemannian Manifolds
Herbert Amann
In this paper we establish optimal solvability results, that is, maximal regularity theorems, for the Cauchy problem for linear parabolic differential equations of arbitrary order…
Uniformly Regular and Singular Riemannian Manifolds
Herbert Amann
A detailed study of uniformly regular Riemannian manifolds and manifolds with singular ends is carried out in this paper. Such classes of manifolds are of fundamental importance fo…
Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems
Herbert Amann
In this work there is established an optimal existence and regularity theory for second order linear parabolic differential equations on a large class of noncompact Riemannian mani…
Anisotropic Function Spaces on Singular Manifolds
Herbert Amann
A rather complete investigation of anisotropic Bessel potential, Besov, and Hölder spaces on cylinders over (possibly) noncompact Riemannian manifolds with boundary is carried out.…