Large solutions for nonlinear parabolic equations without absorption terms

Salvador Moll; Francesco Petitta

Large solutions for nonlinear parabolic equations without absorption terms

Analysis of PDEs 2014-10-01 v1

Authors: Salvador Moll , Francesco Petitta

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).

Keywords

parabolic partial differential equations partial differential equations parabolic equations

Cite

@article{arxiv.1409.8476,
  title  = {Large solutions for nonlinear parabolic equations without absorption terms},
  author = {Salvador Moll and Francesco Petitta},
  journal= {arXiv preprint arXiv:1409.8476},
  year   = {2014}
}

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