Yuanyuan Nie, Yan Leng, Xu Zhao, Qian Zhou
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.
Submitted December 6, 2024. Published February 27, 2025.
Math Subject Classifications: 93B05, 93C20, 35K67.
Key Words: Coupled parabolic equations; critical Fujita exponent; critical case.
DOI: 10.58997/ejde.2025.21
Show me the PDF file (390 KB), TEX file for this article.
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Yuanyuan Nie School of Mathematics Jilin University Changchun 130012, China email: nieyy@jlu.edu.cn |
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Yan Leng School of Science Northeast Electric Power University Jilin 132012, China email: 1678949428@qq.com |
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Xu Zhao School of Mathematics Jilin University Changchun 130012, China email: zhaoxu21@mails.jlu.edu.cn |
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Qian Zhou School of Mathematics Jilin University Changchun 130012, China email: zhouqian@jlu.edu.cn |
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