Singular and degenerate anisotropic parabolic equations with a nonlinear source |
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| Authors: | Victor N. Starovoitov |
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| Affiliation: | a Lavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, Russia
b University of Crete, Department of Mathematics, 71409 Heraklion-Crete, Greece |
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| Abstract: | The Dirichlet problem in arbitrary domain for degenerate and singular anisotropic parabolic equations with a nonlinear source term is considered. We state conditions that guarantee the existence and uniqueness of a global weak solution to the problem. A similar result is proved for the parabolic p-Laplace equation. |
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| Keywords: | 35K20 35K65 35B45 |
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