On a terminal value problem for a system of parabolic equations with nonlinear-nonlocal diffusion terms
On a terminal value problem for a system of parabolic equations with nonlinear-nonlocal diffusion terms
We study a terminal value parabolic system with nonlinear-nonlocal diffusions. Firstly, we consider the issue of existence and ill-posed property of a solution. Then we introduce two regularization methods to solve the system in which the diffusion coefficients are globally Lipschitz or locally Lipschitz under some a priori assumptions on …