On instant extinction for very fast diffusion equations

doi:https://doi.org/10.3934/dcds.1997.3.243

Open AccessArticle10.3934/dcds.1997.3.243

On instant extinction for very fast diffusion equations

Y. B Chen,Yoshikazu Giga,Kazuo Sato-1997-01-01-Discrete and Continuous Dynamical Systems

TL;DRAbstract

In this paper we prove instant extinction of the solutions to Dirichlet and Neumann boundary value problem for some quasilinear parabolic equations whose diffusion coefficient is singular when the spatial gradient of unknown function is zero.

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In this paper we prove instant extinction of the solutions to Dirichlet and Neumann boundary value problem for some quasilinear parabolic equations whose diffusion coefficient is singular when the spatial gradient of unknown function is zero.

Keywords

InstantDiffusionExtinction (optical mineralogy)Computer scienceStatistical physicsMathematicsPhysicsOptics

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