Critical Fujita exponents for a class of quasilinear coupled parabolic  equations

This article concerns the critical Fujita exponents for a class of quasilinear coupled parabolic equations. Using energy estimates, suitable supersolutions, and the comparison principle, the blow-up theorem of Fujita type is established, and the critical Fujita exponent is obtained. Furthermore, we show that the critical case belongs to the blow-up case. For more information see https://ejde.math.txstate.edu/Volumes/2025/21/abstr.html

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Publication Details

Journal
Electronic Journal of Differential Equations
Published
2025-02-27
DOI
https://doi.org/10.58997/ejde.2025.21
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Critical Fujita exponents for a class of quasilinear coupled parabolic  equations

Yan Leng, Yuanyuan Nie, Xu Zhao, Qian Zhou
Electronic Journal of Differential Equations
Stability and Controllability of Differential Equations
article

Critical Fujita exponents for a class of quasilinear coupled parabolic  equations

Yan Leng, Yuanyuan Nie, Xu Zhao, Qian Zhou
article en

Abstract

This article concerns the critical Fujita exponents for a class of quasilinear coupled parabolic equations. Using energy estimates, suitable supersolutions, and the comparison principle, the blow-up theorem of Fujita type is established, and the critical Fujita exponent is obtained. Furthermore, we show that the critical case belongs to the blow-up case. For more information see https://ejde.math.txstate.edu/Volumes/2025/21/abstr.html

Electronic Journal of Differential EquationsVol. 2025(01-??)
Electric Power University (VN), Northeast Electric Power University (CN), Jilin University (CN)
Openalex Percentile: Top 96%
Stability and Controllability of Differential Equations
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