期刊
QUAESTIONES MATHEMATICAE
卷 46, 期 6, 页码 1105-1117出版社
TAYLOR & FRANCIS LTD
DOI: 10.2989/16073606.2022.2057368
关键词
Logarithmic Sobolev-Folland-Stein inequality; non-blow-up; blow-up; stratified groups
类别
In this paper, we obtain finite-time non-blow-up and blow-up results for the sub-Laplacian heat equations with logarithmic nonlinearity on stratified groups. The logarithmic Sobolev-Folland-Stein inequality is crucial in our proof.
In this paper, we obtain a finite-time non-blow-up result for the sub-Laplacian heat equations with logarithmic nonlinearity on stratified groups. In our proof, the logarithmic Sobolev-Folland-Stein inequality plays a key role. We also establish a blow-up result at infinite time on stratified groups.
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