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Semilineare parabolische Differentialgleichungen mit starker Nichtlinearität

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Abstract

This paper deals with the question of global strong solvability for semilinear parabolic systems

$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{u} ' + A\left( t \right)\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{u} + \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{f} \left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{u} } \right) = \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{h} .$$

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Literatur

  1. Hess, P.: Variational Inequalities for strongly nonlinear elliptic operators, J. Math. pures et appl.,52, 285–298 (1973).

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  2. Lions, I.L.: Équations Differentielles Operationen es et Problèmes aux Limites. Berlin-Göttingen-Heidelberg: Springer (1961)

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  3. von Wahl, W.: Lineare und Semilineare Parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen, Abh. Math. Sem. Univ. Hamburg, erscheint demnächst.

  4. von Wahl, W.: Starke Lösungen semilinearer parabolischer Differentialgleichungen, Math. Z., erscheint demnächst.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Bochum, Universitätsstr. 150, 463 Bochum

    Wolf von Wahl

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  1. Wolf von Wahl
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von Wahl, W. Semilineare parabolische Differentialgleichungen mit starker Nichtlinearität. Manuscripta Math 16, 395–406 (1975). https://doi.org/10.1007/BF01323468

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  • DOI: https://doi.org/10.1007/BF01323468

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