Abstract

We consider the differentiability of weak solutions of linear parabolic equations with respect to parameters and initial data. under natural assumptions, it is shown that solutions possess as much differentiability with respect to the data as do the terms appearing in the equation. The derivatives are shown to satisfy the appropriate sensitivity equations. The theoretical results are illustrated with an example.

Department(s)

Mathematics and Statistics

Sponsor(s)

United States. Air Force. Office of Scientific Research
United States. Defense Advanced Research Projects Agency. Special Projects Office

Keywords and Phrases

Frechet Differentiability; Linear Parabolic Equations; Parameters; Weak Solutions

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2007 Elsevier, All rights reserved.

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