Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
Authors
A. L. Gladkov
T. V. Kavitova
Abstract
We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove comparison principle, establish the existence of a local solution, and study the problem of uniqueness and nonuniqueness.
