Add to ORKGFor the nonlinear degenerate parabolic equations, how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem. In this paper, we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition
We study the evolution p-Laplacian equation with the nonlinear gradient term $$ {u_t} = \hbox{div...
AbstractThe existence of local (in time) solutions of the initial–boundary value problem for the fol...
In this paper we describe a new method to derive different type of decay estimates for solutions o...
Consider a diffusion convection equation coming from the electrorheological fluids. If the diffusion...
Abstract The paper studies the equation ...
Consider the nonlinear parabolic equation ∂u/∂t-div(a(x)|∇u|p-2∇u)=f(x,t,u,∇u) with axx∈Ω>0 and a(x)...
Abstract Consider the equation ut=div(dα|∇u|p−2∇u)+∂bi(u,x,t)∂xi,(x,t)∈Ω×(0,T), $${u_{t}} = \operato...
Abstract A parabolic equation related to the p-Laplacian is considered. If the equation is degenerat...
The paper studies the equation ut=div(a(x)|∇u|p(x)−2∇u)+∑i=1N∂bi(u)∂xi, (x,t)∈Ω×(0,T), with the boun...
The paper studies the equation ut=div(a(x)|∇u|p(x)−2∇u)+∑i=1N∂bi(u)∂xi, (x,t)∈Ω×(0,T), with the boun...
AbstractWe consider a quasi-linear parabolic (possibly, degenerate) equation with nonlinear dynamic ...
Abstract A nonlinear parabolic equation from a two-phase problem is considered in this paper. The ex...
We consider non-homogeneous degenerate and singular parabolic equations of the p-Laplacian type and ...
This paper deals with the initial value problem for a class of degenerate nonlinear parabolic equati...
Abstract. We address the problem of existence of solutions to degenerate (and nondegenerate) parabol...
We study the evolution p-Laplacian equation with the nonlinear gradient term $$ {u_t} = \hbox{div...
AbstractThe existence of local (in time) solutions of the initial–boundary value problem for the fol...
In this paper we describe a new method to derive different type of decay estimates for solutions o...
Consider a diffusion convection equation coming from the electrorheological fluids. If the diffusion...
Abstract The paper studies the equation ...
Consider the nonlinear parabolic equation ∂u/∂t-div(a(x)|∇u|p-2∇u)=f(x,t,u,∇u) with axx∈Ω>0 and a(x)...
Abstract Consider the equation ut=div(dα|∇u|p−2∇u)+∂bi(u,x,t)∂xi,(x,t)∈Ω×(0,T), $${u_{t}} = \operato...
Abstract A parabolic equation related to the p-Laplacian is considered. If the equation is degenerat...
The paper studies the equation ut=div(a(x)|∇u|p(x)−2∇u)+∑i=1N∂bi(u)∂xi, (x,t)∈Ω×(0,T), with the boun...
The paper studies the equation ut=div(a(x)|∇u|p(x)−2∇u)+∑i=1N∂bi(u)∂xi, (x,t)∈Ω×(0,T), with the boun...
AbstractWe consider a quasi-linear parabolic (possibly, degenerate) equation with nonlinear dynamic ...
Abstract A nonlinear parabolic equation from a two-phase problem is considered in this paper. The ex...
We consider non-homogeneous degenerate and singular parabolic equations of the p-Laplacian type and ...
This paper deals with the initial value problem for a class of degenerate nonlinear parabolic equati...
Abstract. We address the problem of existence of solutions to degenerate (and nondegenerate) parabol...
We study the evolution p-Laplacian equation with the nonlinear gradient term $$ {u_t} = \hbox{div...
AbstractThe existence of local (in time) solutions of the initial–boundary value problem for the fol...
In this paper we describe a new method to derive different type of decay estimates for solutions o...