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arxiv: 1706.01438 · v1 · pith:6S3UPU33new · submitted 2017-06-05 · 🧮 math.AP

Some basic properties of bounded solutions of parabolic equations with p-Laplacian diffusion

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keywords boundeddiffusionequationsp-laplacianparabolicpropertiessolutionsarbitrary
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We provide a detailed (and fully rigorous) derivation of several fundamental properties of bounded weak solutions to initial-value problems for general conservative 2nd-order parabolic equations with p-Laplacian diffusion and (arbitrary) bounded and integrable initial data.

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