Eighth Mississippi State  UAB Conference on Differential Equations
and Computational Simulations.
Electron. J. Diff. Eqns., Conference 19 (2010), pp. 99121.
Continuous dependence of solutions for illposed evolution problems
Matthew Fury, Rhonda J. Hughes
Abstract:
We prove Holdercontinuous dependence results for the difference
between certain illposed and wellposed evolution problems in
a Hilbert space. Specifically, given a positive selfadjoint
operator D in a Hilbert space, we consider the illposed evolution
problem
We determine functions
for which solutions of the wellposed problem
approximate known solutions of the original illposed problem,
thereby establishing continuous dependence on modelling for
the problems under consideration.
Published September 25, 2010.
Math Subject Classifications: 47A52, 42C40.
Key Words: Continuous dependence on modelling; timedependent problems;
Illposed problems.
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Matthew Fury
Department of Mathematics, Bryn Mawr College
Bryn Mawr, PA 19010, USA
email: mfury@brynmawr.edu


Rhonda J. Hughes
Department of Mathematics, Bryn Mawr College
Bryn Mawr, PA 19010, USA
email: rhughes@brynmawr.edu

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