Volume 25, Issue 4
Non-Simultaneous Blow-up Criteria for Localized Parabolic Equations

Fengjie Li, Bingchen Liu & Sining Zheng

Commun. Math. Res., 25 (2009), pp. 379-384.

Published online: 2021-07

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  • Abstract

This paper deals with blow-up solutions for parabolic equations coupled via localized exponential sources, subject to homogeneous Dirichlet boundary conditions. The criteria are proposed to identify simultaneous and non-simultaneous blow-up solutions. The related classification for the four nonlinear parameters in the model is optimal and complete.

  • Keywords

non-simultaneous blow-up, simultaneous blow-up, critical exponent.

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COPYRIGHT: © Global Science Press

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@Article{CMR-25-379, author = {Li , Fengjie and Liu , Bingchen and Zheng , Sining}, title = {Non-Simultaneous Blow-up Criteria for Localized Parabolic Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {4}, pages = {379--384}, abstract = {

This paper deals with blow-up solutions for parabolic equations coupled via localized exponential sources, subject to homogeneous Dirichlet boundary conditions. The criteria are proposed to identify simultaneous and non-simultaneous blow-up solutions. The related classification for the four nonlinear parameters in the model is optimal and complete.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19354.html} }
TY - JOUR T1 - Non-Simultaneous Blow-up Criteria for Localized Parabolic Equations AU - Li , Fengjie AU - Liu , Bingchen AU - Zheng , Sining JO - Communications in Mathematical Research VL - 4 SP - 379 EP - 384 PY - 2021 DA - 2021/07 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19354.html KW - non-simultaneous blow-up, simultaneous blow-up, critical exponent. AB -

This paper deals with blow-up solutions for parabolic equations coupled via localized exponential sources, subject to homogeneous Dirichlet boundary conditions. The criteria are proposed to identify simultaneous and non-simultaneous blow-up solutions. The related classification for the four nonlinear parameters in the model is optimal and complete.

FengjieLi, BingchenLiu & SiningZheng. (2021). Non-Simultaneous Blow-up Criteria for Localized Parabolic Equations. Communications in Mathematical Research . 25 (4). 379-384. doi:
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