Entire solutions and a Liouville theorem for a class of parabolic equations on the real line.
In: Proceedings of the American Mathematical Society, Jg. 148 (2020-07-01), Heft 7, S. 2997-3008
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Zugriff:
We consider a class of semilinear heat equations on R, including in particular the Fujita equation ut = uxx + |u|p-1u, x ∈ R, t ∈ R, where p > 1. We first give a simple proof and an extension of a Liouville theorem concerning entire solutions with finite zero number. Then we show that there is an infinite-dimensional set of entire solutions with infinite zero number. [ABSTRACT FROM AUTHOR]
Titel: |
Entire solutions and a Liouville theorem for a class of parabolic equations on the real line.
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Autor/in / Beteiligte Person: | Poláčik, P. |
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Zeitschrift: | Proceedings of the American Mathematical Society, Jg. 148 (2020-07-01), Heft 7, S. 2997-3008 |
Veröffentlichung: | 2020 |
Medientyp: | academicJournal |
ISSN: | 0002-9939 (print) |
DOI: | 10.1090/proc/14978 |
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