Existence of solutions for nonlinear parabolic systems via weak convergence of truncations

Existence of solutions for nonlinear parabolic systems via weak convergence of truncations

We prove an existence result for a class of nonlinear parabolic systems. Without assumptions on the growth of some nonlinear terms, we prove the existence of a renormalized solution.

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Veröffentlicht in:Electronic journal of differential equations 2010-05, Vol.2010 (68), p.1-18
Hauptverfasser: Elhoussine Azroul, Hicham Redwane, Mohamed Rhoudaf
Format: Artikel
Sprache:eng
Schlagworte:
existence
Nonlinear parabolic systems
renormalized solutions
truncations
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Zusammenfassung:We prove an existence result for a class of nonlinear parabolic systems. Without assumptions on the growth of some nonlinear terms, we prove the existence of a renormalized solution.
ISSN:1072-6691