| ID | 64005 |
| FullText URL | |
| Author |
Wah, Wah
Research Institute for Interdisciplinary Science, Okayama University
TANIGUCHI, Masaharu
Research Institute for Interdisciplinary Science, Okayama University
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| Abstract | Traveling front solutions have been studied for reaction-diffusion equations with various kinds of nonlinear terms. One of the interesting subjects is the existence and non-existence of them. In this paper, we prove that, if a traveling front solution exists for a reaction-diffusion equation with a nonlinear term, it also exists for a reaction-diffusion equation with a perturbed nonlinear term. In other words, a traveling front is robust under perturbation on a nonlinear term.
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| Keywords | traveling front
existence
perturbation
reaction-diffusion equation
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| Note | Mathematics Subject Classification. Primary 35C07; Secondary 35B20, 35K57.
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| Published Date | 2023-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume65
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 125
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| End Page | 143
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol65/iss1/7
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