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math.AP2020
Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions
Alexander Gladkov, Mohammed Guedda
We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of…
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…