Quasilinear parabolic equations with nonlinear boundary conditions (Q5928299)
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scientific article; zbMATH DE number 1582370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasilinear parabolic equations with nonlinear boundary conditions |
scientific article; zbMATH DE number 1582370 |
Statements
Quasilinear parabolic equations with nonlinear boundary conditions (English)
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11 November 2001
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A quasilinear parabolic equation with nonlinear boundary condition in a bounded smooth domain is considered. The diffusion coefficient which appears in the equation can vanish on the spatial boundary at a certain rate. By using a difference scheme from the method of lines it is proved that the considered problem has a unique global strong solution.
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quasilinear parabolic equation
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method of lines
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nonlinear boundary condition
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difference scheme
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global strong solution
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