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Solvability for differential equations on fractals

โœ Scribed by Robert S. Strichartz

Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
900 KB
Volume
96
Category
Article
ISSN
0021-7670

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๐Ÿ“œ SIMILAR VOLUMES

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Local solvability for nonlinear partial differential equations
โœ F. Messina; L. Rodino ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 444 KB

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

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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