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July/August 2022 Entire solutions of combustion reaction-diffusion equations in exterior domains
Fu-Jie Jia, Zhi-Cheng Wang, Suo-Bing Zhang
Adv. Differential Equations 27(7/8): 437-466 (July/August 2022).

Abstract

In this paper, we consider entire solutions of combustion reaction-diffusion equations in exterior domains. By constructing appropriate super- and sub-solutions, we show that any given transition front of homogeneous combustion reaction-diffusion equation can emanate an entire solution in exterior domains. In addition, we prove that the entire solution is a complete propagation in the exterior domain with some suitable spatial geometrical conditions.

Citation

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Fu-Jie Jia. Zhi-Cheng Wang. Suo-Bing Zhang. "Entire solutions of combustion reaction-diffusion equations in exterior domains." Adv. Differential Equations 27 (7/8) 437 - 466, July/August 2022.

Information

Published: July/August 2022
First available in Project Euclid: 26 April 2022

Subjects:
Primary: 35C07 , 35K57 , 45K05

Rights: Copyright © 2022 Khayyam Publishing, Inc.

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Vol.27 • No. 7/8 • July/August 2022
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