Sufficient conditions for the global existence of a strong solution of the equation \(u_{t}(t, x)=\int_{0}^{i} k(t-s) \sigma\left(u_{x}(s, x)\right)_{x} d s+f(t, x)\) are given. The kernel \(k\) satisfies \(9 \hat{k}(z) \geqslant\) \(\kappa|\exists \hat{k}(z)|\) and \(\sigma\) is increasing with \(\
Existence and regularity for a class of integrodifferential equations of parabolic type
β Scribed by G. Da Prato; M. Iannelli
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 700 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-247X
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