A Markov process associated with a porous medium equation (Q800041)
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scientific article; zbMATH DE number 3876331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Markov process associated with a porous medium equation |
scientific article; zbMATH DE number 3876331 |
Statements
A Markov process associated with a porous medium equation (English)
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1984
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The following equation \(u_ t={1\over2}(u^{\alpha})_{xx}\), \(t>0\), \(x\in R\), is called a porous medium equation for given \(\alpha >1\). In this paper we construct a Markov process \(X=\{X(t)\}\) such that the distribution P(X(t)\(\in dx)\) has a density u which is a weak solution of a porous medium equation.
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porous medium equation
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weak solution
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0.90317816
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0.8881635
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0.8855997
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0.8850925
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0.8810063
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