Journal article
Global existence for a free boundary problem of Fisher-KPP type
- Abstract:
-
Motivated by the study of branching particle systems with selection, we establish global existence for the solution of the free boundary problem when the initial condition is non-increasing with as and as. We construct the solution as the limit of a sequence , where each u n is the solution of a Fisher-KPP equation with the same initial condition, but with a different nonlinear term. Recent results of De Masi A et al (2017 (arXiv:1707.00799)) show that this global solution can be identified w...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- IOP Publishing Publisher's website
- Journal:
- Nonlinearity Journal website
- Volume:
- 32
- Issue:
- 10
- Pages:
- 3912-3939
- Publication date:
- 2019-09-12
- Acceptance date:
- 2019-05-30
- DOI:
- EISSN:
-
1361-6544
- ISSN:
-
0951-7715
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
894875
- Local pid:
- pubs:894875
- Deposit date:
- 2020-12-07
Terms of use
- Copyright holder:
- IOP Publishing
- Copyright date:
- 2019
- Rights statement:
- © Copyright 2019 IOP Publishing
- Notes:
-
This is the accepted manuscript version of the article. The final version is available from IOP Publishing at https://doi.org/10.1088/1361-6544/ab25af
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