Singular Solutions of a Quasilinear Convection Diffusion Degenerate Parabolic Equation with Absorption
Peixin Zhang · Journal of Xiamen University · 2006
The quasilinear convection diffusion degenerate parabolic equation with measure initial value was discussed.We got this equation when we study that a compressible uid ows in a homogeneous isotropic rigid porous medium.The purpose of this paper is to discuss the conditions that the equation has no-trivial solutions and very singular solutions.The P.D.E.methods such as regularization,Moser iteration and Imbedding Theorem were used to study this problem.