Explicit conditions for the uniqueness of solutions for parabolic degenerate problems (Q2287186)

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Explicit conditions for the uniqueness of solutions for parabolic degenerate problems
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    Explicit conditions for the uniqueness of solutions for parabolic degenerate problems (English)
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    23 January 2020
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    Summary: Our purpose is to explicit the assumptions of a technical and fundamental lemma which has been used in many works as a main tool to get the uniqueness of solutions for some nonlinear and degenerate parabolic problems. In our investigation, we hope to generalise this result in a class of Hölder convection-diffusion functions. We also complete and validate the previous works by proving that the class of functions satisfying these hypotheses is not empty.
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    anisotropic diffusion
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    degenerate parabolic problems
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    entropy solution
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    Hölder continuous functions
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    isotropic diffusion
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