Time-dependent domains for nonlinear evolution operators and partial differential equations

This article concerns the nonlinear evolution equation $$displaylines{ frac{du(t)}{dt} in A(t)u(t), quad 0 leq s < t < T, cr u(s) = u_0 }$$ in a real Banach space X, where the nonlinear, time-dependent, and multi-valued operator $ A(t) : D(A(t)) subset X o X$ has a time-depende...

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Bibliographic Details
Main Author: Chin-Yuan Lin
Format: Article
Language:English
Published: Texas State University 2011-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/92/abstr.html