In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semilinear operator \(F(u)=P(D) u+f\left(x, Q_{1
โฆ LIBER โฆ
Unique solvability of certain matrix partial differential equations
โ Scribed by S. A. Lomov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1977
- Tongue
- English
- Weight
- 283 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0001-4346
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In this paper we consider the Cauchy problem for a class of semilinear anisotropic evolution equations with parabolic linear part. Using standard techniques we reduce our problem in an integral form. Thus a local \(L^{2}\) solution is given as fixed point of the correspondent integral operator, defi