19 citations · 34 across the 6 of their papers we have counts for
Showing 2020 · math.APShow all
3 papers · 2 filters
math.AP2020★ 7 cited
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…
math.AP2020
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…
math.AP2020
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…