Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory (Q581748)
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scientific article; zbMATH DE number 4129297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory |
scientific article; zbMATH DE number 4129297 |
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Asymptotic analysis of some nonlinear problems using Hopf-Cole transform and spectral theory (English)
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1989
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The author considers initial boundary value problems for a class of nonlinear scalar parabolic equations depending on a parameter. The corresponding stationary problem may have infinitely many solutions no solution or exactly one solution, depending on the value of the parameter. The author uses Hopf-Cole transformation and spectral theory to get an explicit expression for the solution of the parabolic problem and studies the asymptotic behaviour of solutions as time t goes to infinity.
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initial boundary value problem
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eigenvalue problem
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Hopf-Cole transform
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0.8868542
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0.88635087
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0.8838233
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0.8812572
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0.8778093
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0.87510467
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0.8734641
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