Time-weighted blow-up rates and pointwise profile for single-point blow-up solutions in reaction-diffusion equations-Reference-Cited by-同舟云学术

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Time-weighted blow-up rates and pointwise profile for single-point blow-up solutions in reaction-diffusion equations

Published:2017-03-17 Issue:14 Volume:40 Page:5273-5285
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Liu Bingchen¹^ORCID,Li Fengjie²

Affiliation:

1. College of Science; China University of Petroleum; Qingdao 266580 Shandong Province China

2. College of Science; University of Notre Dame; Notre Dame 46556 IN USA

Funder

NNSF of China, Shandong Provincial Natural Science Foundation, China

Fundamental Research Funds for the Central Universities

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference29 articles.

1. A semilinear parabolic system in a bounded domain;Escobedo;Annali di Matematica Pura ed Applicata,1993

2. Shock Waves and Reaction—Diffusion Equations

3. Critical exponent for parabolic system with time-weighted sources in bounded domain;Bai;Journal of Functional Analysis,2013

4. Blow-up rate estimates for semilinear parabolic systems;Wang;Journal Differential Equations,2001

5. Single-point blow-up for a semilinear parabolic system;Souplet;Journal of the European Mathematical Society,2009

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1. Existence of type-I blow-up solutions for the time-weighted parabolic Lane-Emden system;Journal of Mathematical Analysis and Applications;2023-08

2. Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity;Applicable Analysis;2021-05-02

3. Blow-up analyses in reaction–diffusion equations with Fujita exponents;Nonlinear Analysis: Real World Applications;2019-12

4. Asymptotic Estimates and Fujita Exponents of Blow-Up Solutions in Weighted Parabolic Systems;Bulletin of the Iranian Mathematical Society;2018-09-19

5. Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent;Computers & Mathematics with Applications;2018-09

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