Existence results for nonlinear parabolic equations via strong convergence of truncations (Q1570429)
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scientific article; zbMATH DE number 1472048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for nonlinear parabolic equations via strong convergence of truncations |
scientific article; zbMATH DE number 1472048 |
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Existence results for nonlinear parabolic equations via strong convergence of truncations (English)
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16 March 2001
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By using some truncations techniques, the author proves an existence result concerning an initial-boundary value problem, with \(L^1\)-initial data, for a parabolic equation governed by a nonlinear ``explosive'' perturbation of a pseudomonotone operator of Leray-Lions type acting in \(L^2(0,T;H^1_0(\Omega))\), where \(\Omega\) is a bounded domain in \(\mathbb{R}^n\).
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pseudomonotone operator of Leray-Lions type
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truncation method
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sign condition
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\(L^1\)-initial data
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0.92428505
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0.92294693
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0.9185667
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0.9062482
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0.90303254
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