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