Continuous dependence of solutions for ill-posed evolution problems

We prove Holder-continuous dependence results for the difference between certain ill-posed and well-posed evolution problems in a Hilbert space. Specifically, given a positive self-adjoint operator D in a Hilbert space, we consider the ill-posed evolution problem $$displaylines{ frac{du(t)}{dt...

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Bibliographic Details
Main Authors: Matthew Fury, Rhonda J. Hughes
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/19/f1/abstr.html