2017
Том 69
№ 9

All Issues

Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions

Gladkov A. L., Kavitova T. V.


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.

Citation Example: Gladkov A. L., Kavitova T. V. Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions // Ukr. Mat. Zh. - 2016. - 68, № 2. - pp. 162-174.