Global existence for semilinear parabolic problems (Q2733858)

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scientific article; zbMATH DE number 1633111
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Global existence for semilinear parabolic problems
scientific article; zbMATH DE number 1633111

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    12 August 2001
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    weakly coupled systems
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    nonlinear boundary conditions
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    nonlocal nolinearities
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    Global existence for semilinear parabolic problems (English)
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    This paper deals with sufficient conditions for global existence of solutions of semilinear parabolic problems in a smoothly bounded domain \(\Omega \subset\mathbb{R}^n\). The author shows that these conditions provide the boundedness of solutions in \(L_p\)-spaces. He illustrates validity of these conditions on some weakly coupled systems, problems involving measures, nonlinear boundary conditions and nonlocal nonlinearities.
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