6533b85cfe1ef96bd12bd4b2
RESEARCH PRODUCT
Large solutions for nonlinear parabolic equations without absorption terms
Salvador MollFrancesco Petittasubject
Entropy solutionsIntegrable systemMathematical analysisp-LaplacianMathematics::Analysis of PDEsGeodetic datumNonlinear parabolic equationsMathematics - Analysis of PDEsentropy solutions; large solutions; p-laplacian; total variation flowp-LaplacianFOS: MathematicsLarge solutionsUniquenessTotal variation flowEntropy (arrow of time)AnalysisMathematicsAnalysis of PDEs (math.AP)description
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).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-02-01 | Journal of Functional Analysis |