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A remark on infinite initial values for quasilinear parabolic equations
Peter LindqvistMikko Parviainensubject
Laplace's equationSurface (mathematics)Work (thermodynamics)Applied Mathematics010102 general mathematicsMathematical analysis01 natural sciencesParabolic partial differential equationDomain (mathematical analysis)35J92 35J62010101 applied mathematicsMathematics - Analysis of PDEsFOS: MathematicsCylinder0101 mathematicsDiffusion (business)AnalysisMathematicsAnalysis of PDEs (math.AP)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-05-01 |