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math.AP2019★ 11 cited
Global existence of solutions of initial-boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
Alexander Gladkov, Tatiana Kavitova
We prove global existence and blow-up of solutions of initial-boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained…
math.AP2015
Global existence and blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
Alexander Gladkov, Tatiana Kavitova
In this paper we consider a semilinear parabolic equation with nonlinear and nonlocal boundary condition and nonnegative initial datum. We prove some global existence results. Crit…
math.AP2014★ 1 cited
Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition
Alexander Gladkov, Tatiana Kavitova
In this paper we consider an initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition. We prove comparison principle, the exist…