Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups

Ardak Kashkynbayev; Aidyn Kassymov; Durvudkhan Suragan

doi:10.2989/16073606.2022.2057368

Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups

Ardak Kashkynbayev, Aidyn Kassymov, Durvudkhan Suragan

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1105–1117
Number of pages	13
Journal	Quaestiones Mathematicae
DOIs	https://doi.org/10.2989/16073606.2022.2057368
Publication status	Published - 2023

Keywords

blow-up
Logarithmic Sobolev-Folland-Stein inequality
non-blow-up
stratified groups

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.2989/16073606.2022.2057368

Cite this

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abstract = "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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AU - Kassymov, Aidyn

AU - Suragan, Durvudkhan

PY - 2023

Y1 - 2023

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AB - 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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KW - stratified groups

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Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups

Abstract

Keywords

ASJC Scopus subject areas

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