@article{adfadd449caf47199053695718a14f9b,
title = "Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity",
abstract = "In our previous two works, we studied the blow-up and lifespan estimates for damped wave equations with a power nonlinearity of the solution or its derivative, with scattering damping independently. In this work, we are devoted to establishing a similar result for a combined nonlinearity. Comparing to the result of wave equation without damping, one can say that the scattering damping has no influence.",
keywords = "Blow-up, Combined nonlinearity, Lifespan, Scattering damping",
author = "Lai, {Ning An} and Hiroyuki Takamura",
note = "Funding Information: The first author waspartially supported by Zhejiang Province Science Foundation ( LY18A010008 ), NSFC ( 11501273 , 11726612 , 11771359 , 11771194 ), Chinese Postdoctoral Science Foundation ( 2017M620128 , 2018T110332 ), the Scientific Research Foundation of the First-Class Discipline of Zhejiang Province (B) ( 201601 ). The second author was partially supported by the Grant-in-Aid for Scientific Research(C) (No. 15K04964 ), Japan Society for the Promotion of Science , and Special Research Expenses in FY2017, General Topics (No. B21 ), Future University Hakodate. Funding Information: The first author waspartially supported by Zhejiang Province Science Foundation (LY18A010008), NSFC (11501273, 11726612, 11771359, 11771194), Chinese Postdoctoral Science Foundation (2017M620128, 2018T110332), the Scientific Research Foundation of the First-Class Discipline of Zhejiang Province (B) (201601). The second author was partially supported by the Grant-in-Aid for Scientific Research(C) (No. 15K04964), Japan Society for the Promotion of Science, and Special Research Expenses in FY2017, General Topics (No. B21), Future University Hakodate. Publisher Copyright: {\textcopyright} 2018 The Authors",
year = "2019",
month = feb,
doi = "10.1016/j.nonrwa.2018.06.008",
language = "English",
volume = "45",
pages = "83--96",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier BV",
}