Abstract
We consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann boundary condition. We prove a comparison principle and the existence of a local solution and study the problem of uniqueness and nonuniqueness.
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∗This work is supported by the state program of fundamental research of Belarus, grant 1.2.03.1.
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Gladkov, A. Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition* . Lith Math J 57, 468–478 (2017). https://doi.org/10.1007/s10986-017-9376-x
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DOI: https://doi.org/10.1007/s10986-017-9376-x