@article{3e9c7e7b5359483390ade1c06bd0d91e,
title = "Blow-up for Strauss type wave equation with damping and potential",
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.",
keywords = "Blow-up, Critical exponent, Damping, Potential",
author = "Wei Dai and Hideo Kubo and Motohiro Sobajima",
note = "Funding Information: The authors would like to thank the anonymous referee for the careful reading and valuable comments. The first author was supported by NSFC11671353 and NSFC11971428. The second author was partially supported by Grant-in-Aid for Science Research JSPS (No. 19H01795 and No. 16H06339). Funding Information: The authors would like to thank the anonymous referee for the careful reading and valuable comments. The first author was supported by NSFC 11671353 and NSFC 11971428 . The second author was partially supported by Grant-in-Aid for Science Research JSPS (No. 19H01795 and No. 16H06339 ). ",
year = "2021",
month = feb,
doi = "10.1016/j.nonrwa.2020.103195",
language = "English",
volume = "57",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier BV",
}