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Asymptotics with respect to a parameter of solutions of linear functional-differential equations

✍ Scribed by A. M. Gomilko; G. V. Radzievskii


Book ID
112474747
Publisher
Springer
Year
1990
Tongue
English
Weight
632 KB
Volume
42
Category
Article
ISSN
0041-5995

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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