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Generalized differential equations: Differentiability of solutions with respect to initial conditions and parameters

✍ Scribed by Slavík, Antonín

Book ID
119997178
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
424 KB
Volume
402
Category
Article
ISSN
0022-247X

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Differentiability with respect to parameters of weak solutions of linear parabolic equations
✍ 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