Stabilization of solutions of a nonlinear parabolic equation with a gradient term (Q1329043)
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scientific article; zbMATH DE number 597667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilization of solutions of a nonlinear parabolic equation with a gradient term |
scientific article; zbMATH DE number 597667 |
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Stabilization of solutions of a nonlinear parabolic equation with a gradient term (English)
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29 June 1994
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For the nonlinear parabolic equation with a dissipative term \(u_ t= u_{xx}- u^ 2_ x+ \lambda u^ p\), \(-1< x< 1\), \(t>0\) \((\lambda>0, p> 1)\) subject to homogeneous Dirichlet boundary conditions, we characterize the set of stationary solutions and give the stabilization theorems.
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stabilization theorems
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