Generic properties of stationary state solutions of reaction-diffusion equations (Q796713)
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scientific article; zbMATH DE number 3865729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic properties of stationary state solutions of reaction-diffusion equations |
scientific article; zbMATH DE number 3865729 |
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Generic properties of stationary state solutions of reaction-diffusion equations (English)
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1984
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The authors consider stationary solutions of the equation \(u''+f(u)=0,\) with homogeneous Dirichlet or Neumann boundary conditions. They prove that the ''time map'' \(\eta \to T(\eta)\) is generically a Morse function. A simpler proof was also given by the reviewer and \textit{A. Wasserman} [ibid. 52, 432-438 (1984; Zbl 0488.58015)].
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Dirichlet boundary condition
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stationary solutions
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Neumann boundary conditions
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time map
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Morse function
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