Existence and non-existence of global solutions for a heat equation with degenerate coefficients-Reference-Cited by-同舟云学术

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Existence and non-existence of global solutions for a heat equation with degenerate coefficients

Published:2022-10-08 Issue:6 Volume:3 Page:
ISSN:2662-2963
Container-title:Partial Differential Equations and Applications
language:en
Short-container-title:Partial Differ. Equ. Appl.

Author:

Castillo Ricardo^ORCID,Guzmán-Rea Omar,Zegarra María

Funder

Agencia Nacional de Investigación y Desarrollo

Universidad del Bío-Bío

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s42985-022-00210-2.pdf

Reference46 articles.

1. Ahmad, B., Alsaedi, A., Berbiche, M., Kirane, M.: Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations. Electron. J. Differ. Equ. 2020, 1–28 (2020)

2. Aronson, D.G., Weinberger, H.F.: Multidimensional nonlinear diffusion arising in population genetics. Adv. Math. 30(1), 33–76 (1978)

3. Bai, X., Zheng, S., Wang, W.: Critical exponent for parabolic system with time-weighted sources in bounded domain. J. Funct. Anal. 265, 941–952 (2013)

4. Bonforte, M., Simonov, N.: Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Holder continuity. Adv. Math. 345, 1075–1161 (2019)

5. Caffarelli, L., Silvestre, L.: An extension problem related to the fractional Laplacian. Commun. Partial Differ. Equ. 32, 1245–1260 (2007)

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