Search results for "Large solutions"

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Large solutions for nonlinear parabolic equations without absorption terms

2012

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).

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)Journal of Functional Analysis
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