Global existence and \(L^{\infty}\) estimates of solution for doubly nonlinear parabolic equation (Q1973950)
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scientific article; zbMATH DE number 1441392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and \(L^{\infty}\) estimates of solution for doubly nonlinear parabolic equation |
scientific article; zbMATH DE number 1441392 |
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Global existence and \(L^{\infty}\) estimates of solution for doubly nonlinear parabolic equation (English)
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15 January 2001
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The Dirichlet problem for a doubly nonlinear degenerate parabolic equation is studied. Global existence, uniqueness, and \(L^\infty\)-estimates of weak solutions are established. The behavior of solutions as \(t\to 0^+\) and \(t\to\infty\) is also investigated. To obtain the \(L^\infty\)-estimates, Moser's iteration technique is used.
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Dirichlet problem
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behavior of solutions as \(t\to 0^+\) and \(t\to\infty\)
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Moser's iterations
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