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arxiv: 1811.11541 · v1 · pith:VRX4WB3Ynew · submitted 2018-11-28 · 🧮 math.AP

A remark on infinite initial values for quasilinear parabolic equations

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keywords infiniteinitialvaluessolutionsbeencasecylinderdiffusion
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We study the possibility of prescribing infinite initial values for solutions of the Evolutionary $p$-Laplace Equation in the fast diffusion case $p>2$. This expository note has been extracted from our previous work. When infinite values are prescribed on the whole initial surface, such solutions can exist only if the domain is a space-time cylinder.

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