Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek
Published 2022-07-08Version 1
In this paper, we study a semilinear heat equation with forcing term depending on space. The local existence, the blow up and global in time solutions are obtained. Our technique of proof is based on methods of test functions and the comparison principle. In addition, we give an upper bound estimate on the lifespan of blow up solutions.
Fujita exponent on stratified Lie groups
Nonexistence results for a semilinear heat equation with Hardy potential on stratified Lie groups
$C^{1,α}$-Regularity of Quasilinear equations on the Heisenberg Group
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