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arXiv · 1409.8476

Large solutions for nonlinear parabolic equations without absorption terms

Salvador Moll·Francesco Petitta
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Abstract

In this paper we give a suitable notion of entropy solution of parabolic $p-$laplacian type equations with $1\leq p<2$ which blows up at the boundary of the domain. We prove existence and uniqueness of this type of solutions when the initial data is locally integrable (for $1<p<2$) or integrable (for $p=1$; i.e the Total Variation Flow case).

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Salvador Moll, Francesco Petitta. 2014-09-30. Large solutions for nonlinear parabolic equations without absorption terms. https://arxiv.org/abs/1409.8476

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