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

Gladkov A. L.; Kavitova T. V.

Volume 71, № 11, 2019
(Current Issue)

2019

Том 71
№ 11

All Issues

Ukr. Mat. Zh.
Volume 68, № 2, 2016
pp. 162-174

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

Gladkov A. L., Kavitova T. V.

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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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