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Capacity estimate for the blow-up set of parabolic equations - MaRDI portal

Capacity estimate for the blow-up set of parabolic equations (Q930502)

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scientific article; zbMATH DE number 5294692
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Capacity estimate for the blow-up set of parabolic equations
scientific article; zbMATH DE number 5294692

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    Capacity estimate for the blow-up set of parabolic equations (English)
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    30 June 2008
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    This paper provides estimates of the blow-up set of semilinear and quasilinear parabolic equations in terms of \(p\)-capacity. The framework of the paper includes well known models such as the \(p\)-Laplace evolution equation or the porous medium-like equations. In some cases, the possibility of post-blow-up continuation of solution is discussed.
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    \(p\)-capacity
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    blow-up set
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    post blow-up continuation
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    \(p\)-Laplace evolution equation
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    porous medium equation
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