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arXiv · 1811.11541

A remark on infinite initial values for quasilinear parabolic equations

Peter Lindqvist·Mikko Parviainen
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Abstract

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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Peter Lindqvist, Mikko Parviainen. 2018-11-28. A remark on infinite initial values for quasilinear parabolic equations. https://arxiv.org/abs/1811.11541

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