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Space–time analyticity of weak solutions to linear parabolic systems with variable coefficients

✍ Scribed by Peter Takáč


Book ID
113710314
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
355 KB
Volume
263
Category
Article
ISSN
0022-1236

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Differentiability with respect to parame
✍ John R. Singler 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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