Nonexistence results for a semilinear heat equation with bounded potentials
https://doi.org/10.1016/j.na.2019.111667Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
We study the Liouville type theorem for positive solutions to the semilinear heat equation in . We show that the nonexistence of positive solutions holds for any and for any bounded from below by a positive constant. In the superlinear case , we give some sufficient conditions on the potential and the exponent
Tags: Liouville-type theorem, Parabolic equation, Critical exponent
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