论文信息 - EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

Abstract In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on μ , ν and ψ, some existence results are obtained by applying parabolic regularization method and the sub-super solutions method.

Qiang Liu | Jingna Li | Li Xia

[1] Francesco Petitta,et al. PARABOLIC EQUATIONS WITH NONLINEAR SINGULARITIES , 2011 .

[2] L. Orsina,et al. Existence and nonexistence of solutions for singular quadratic quasilinear equations , 2009 .

[3] A. Suárez,et al. Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth , 2013 .

[4] Wenshu Zhou,et al. A one-dimensional nonlinear heat equation with a singular term☆ , 2010 .

[5] Pedro Jesús Martínez Aparicio. Singular Dirichlet Problems with Quadratic Gradient , 2009 .