Kavitova T. V.
Articles: 1
Article (Russian)
Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
Ukr. Mat. Zh. - 2016. - 68, № 2. - pp. 162-174
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.