Article ID Journal Published Year Pages File Type
10140328 Nonlinear Analysis: Theory, Methods & Applications 2019 17 Pages PDF
Abstract
We construct positive solutions of equations of porous medium type with a singularity which moves in time along a prescribed curve and keeps the spatial profile of singular stationary solutions. It turns out that there appears a critical exponent for the existence of such solutions.
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Physical Sciences and Engineering Engineering Engineering (General)
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Solutions with moving singularities for equations of porous medium type
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