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math.AP2019
Global existence of solutions of semilinear heat equation with nonlinear memory condition
Alexander Gladkov, Mohammed Guedda
We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of s…
math.AP2019
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…