Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501723 | Journal of Differential Equations | 2005 | 31 Pages |
Abstract
We prove perturbation results for abstract semi-linear evolution equations in a Banach space. The main feature is that only very weak assumptions are needed at initial time. This allows to prove weak continuity properties and to deal with rather general domain perturbation problems for semi-linear parabolic and hyperbolic boundary value problems with various boundary conditions. The theory also implies the well known theory on parameter dependent equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Daniel Daners,