Uniqueness and stability of solutions for Cauchy problem of nonlinear diffusion equations (Q1392616)
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scientific article; zbMATH DE number 1180405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and stability of solutions for Cauchy problem of nonlinear diffusion equations |
scientific article; zbMATH DE number 1180405 |
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Uniqueness and stability of solutions for Cauchy problem of nonlinear diffusion equations (English)
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28 July 1998
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The authors study the uniqueness and stability of BV-solutions for the Cauchy problem for the nonlinear diffusion equation \[ {\partial u\over\partial t}= \Delta A(u)+ \sum^N_{i= 1} {\partial b^i(u)\over\partial x_i}+ c(u) \] under the assumption that \(A(u)\) is strictly increasing.
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BV-solutions
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