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Blow-up for a degenerate and singular parabolic system with nonlocal sources and absorptions
Degenerate and singular parabolic system blow up blow-up set
2010/11/1
This paper deals with the blow-up properties of the solution to the degenerate and singular parabolic system with nonlocal sources, absorptions and homogeneous Dirichlet boundary conditions. The exist...
Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity
non-degenerate projective varieties non-zero prolongation
2010/11/24
The prolongation g^{(k)} of a linear Lie algebra g \subset gl(V) plays an important role in the study of symmetries of G-structures. Cartan and Kobayashi-Nagano have given a complete classification o...
Degenerate diffusion with a drift potential: a viscosity solutions approach, joint work with I. C. Kim, truncated version
drift potential viscosity solutions approach
2010/11/23
This is a truncated version of the paper "Degenerate diffusion with a drift potential: a viscosity solutions approach", co-authored with I. C. Kim. The purpose of this version is to withdraw the claim...
Uniform blow-up profiles for a nonlocal degenerate parabolic system
Degenerate reaction-diffusion system Uniform blow-up profiles
2010/9/14
This paper deals with the blow-up profiles of the nonnegative solutions to a degenerate reaction-diffusion system with nonlinear nonlocal sources involved in a product with local terms, subject to the...
Existence and blow-up for a nonlocal degenerate parabolic equation
Degenerate parabolic equation Local existence and uniqueness
2010/9/16
In this paper, we establish the local existence and uniqueness of the solution for the degenerate parabolic equation with a nonlocal source and homogeneous Dirichlet boundary condition. Moreover, we p...
The goal of this work is to study the behavior of solutions to a degenerate diffusion problem. The main interests center on the extinction properties and evolution of the supports of solutions for the...
GLOBAL EXISTENCE AND DECAY ESTIMATES FOR SOLUTIONS OF DEGENERATE PARABOLIC EQUATIONS
Parabolic equation existence
2007/12/10
In this paper, we will show the existence and certain decay estimate of the global solutions for the initial-boundary value problemin the smooth bounded domain Ω＝Rn. n≥2.