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On the Cauchy problem for the fast diffusion equation

Article ID Journal Published Year Pages File Type
4612202 Journal of Differential Equations 2008 32 Pages PDF
Abstract
For u0,1u0∈Lloc1(RN), the author studies the existence of a kind of weak solution to the Cauchy problemut=div(um−1Du),inRN×(0,T],u(x,0)=u0(x)⩾0,inRN, where m<0 is a constant. The uniqueness and regularity of solutions are also discussed.
Keywords
35K6535D0535K1535D10Fast diffusionCauchy problemRegularityExistence
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On the Cauchy problem for the fast diffusion equation
Authors
Lian Songzhe,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35K65
35D05
35K15
35D10
Fast diffusion
Cauchy problem
Regularity
Existence
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