Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces
We give conditions for the parabolic evolution operator to be analytic with respect to a coefficient operator. We also show that the solution of a homogeneous parabolic evolution equation is analytic with respect to the coefficient operator and to the initial data. We apply our results to exampl...
| Format: | Article |
|---|---|
| Language: | English |
| Published: |
Texas State University
2009-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/31/abstr.html |