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Differentiability with respect to (t, s) of the parabolic evolution operator

✍ Scribed by Alessandra Lunardi


Book ID
112889154
Publisher
The Hebrew University Magnes Press
Year
1989
Tongue
English
Weight
825 KB
Volume
68
Category
Article
ISSN
0021-2172

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Differentiability with respect to parame
✍ John R. Singler πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 221 KB

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 a