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A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients - MaRDI portal

A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients (Q2713670)

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scientific article; zbMATH DE number 1602798
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A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients
scientific article; zbMATH DE number 1602798

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    10 June 2001
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    weak subsolution
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    generalized maximum principle
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    comparison theorem
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    degenerate equation
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    A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients (English)
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    The authors study degenerate parabolic equations of second order in divergence form with mixed-type unilateral boundary conditions. The space variable belongs to a bounded open set in the Euclidean space, the functional setting relies on the usual weighted Sobolev spaces machinery. The main result of this paper is the proof of the generalized maximum principle for subsolutions.
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