| Autor: |
Ducrot, Arnaud, Jin, Zhucheng |
| Zdroj: |
Annali di Matematica Pura ed Applicata; Aug2022, Vol. 201 Issue 4, p1607-1638, 32p |
| Abstrakt: |
This work is concerned with the study of generalized travelling wave solutions for time heterogeneous Fisher-KPP equations with nonlocal diffusion. Here we consider general time heterogeneities both for the diffusion kernel and the reaction term. We investigate the existence and non existence of generalized travelling wave solutions for such a problem. Roughly speaking we prove that generalized travelling waves do exist for all sufficiently large wave speed function in some average sense, while such solutions do not exist for speed function with small average. In addition, under suitable assumptions on the time varying coefficients, we derive a sharp estimate for the average speed functions of the generalized travelling wave solutions. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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