Critical regularity of nonlinearities in semilinear effectively damped wave models.
In: AIMS Mathematics (2473-6988), Jg. 8 (2023-02-01), Heft 2, S. 4764-4785
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Zugriff:
In this paper we consider the Cauchy problem for the semilinear effectively damped wave equation u tt - u xx + b(t)u t = u3μ(u), u(0, x) = u 0 (x), u t (0, x) = u 1 (x). Our goal is to propose sharp conditions on μ to obtain a threshold between global (in time) existence of small data Sobolev solutions (stability of the zero solution) and blow-up behaviour even of small data Sobolev solutions. [ABSTRACT FROM AUTHOR]
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Titel: |
Critical regularity of nonlinearities in semilinear effectively damped wave models.
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Autor/in / Beteiligte Person: | Djaouti, Abdelhamid Mohammed ; Reissig, Michael |
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Zeitschrift: | AIMS Mathematics (2473-6988), Jg. 8 (2023-02-01), Heft 2, S. 4764-4785 |
Veröffentlichung: | 2023 |
Medientyp: | academicJournal |
ISSN: | 2473-6988 (print) |
DOI: | 10.3934/math.2023236 |
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