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Blow-up for Strauss type wave equation with damping and potential.
- Source :
-
Nonlinear Analysis: Real World Applications . Feb2021, Vol. 57, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- We study a kind of nonlinear wave equations with damping and potential, whose coefficients are both critical in the sense of the scaling and depend only on the spatial variables. Based on the earlier works, one may think there are two kinds of blow-up phenomenons when the exponent of the nonlinear term is small. It also means there are two kinds of law to determine the critical exponent. In this paper, we obtain a blow-up result and get the estimate of the upper bound of the lifespan in critical and sub-critical cases. All of the results support such a conjecture, although for now, the existence part is still open. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 57
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 145680695
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2020.103195