TY - CHAP

T1 - Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term

AU - Lai, Ning An

AU - Schiavone, Nico Michele

AU - Takamura, Hiroyuki

N1 - Funding Information:
Acknowledgements The first author is partially supported by Zhejiang Province Science Foundation (LY18A010008), NSFC (11501273, 11726612), Chinese Postdoctoral Science Foundation (2017M620128, 2018T110332), CSC(201708330548), the Scientific Research Foundation of the First-Class Discipline of Zhejiang Province (B)(201601). The second author is partially supported by the Global Thesis study award in 2016–2017, University of Bari. And he is also grateful to Future University Hakodate for hearty hospitality during his stay there, 12/01/2018–04/04/2018. This work was prepared when the second author was enrolled as MSc student at University of Bari. The third author is partially supported by the Grant-in-Aid for Scientific Research (C) (No.15K04964) and (B)(No.18H01132), Japan Society for the Promotion of Science, and Special Research Expenses in FY2017, General Topics (No.B21), Future University Hakodate. This work started when the third author was working in Future University Hakodate.
Publisher Copyright:
© Springer Nature Switzerland AG 2019.

PY - 2019

Y1 - 2019

N2 - In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which are the same as that of the corresponding problem without mass term, and also the same as that of the corresponding problem without both damping and mass term. For this purpose, we have to use the comparison argument twice, due to the damping and mass term, in additional to a key multiplier. Finally, we get the desired results by an iteration argument.

AB - In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which are the same as that of the corresponding problem without mass term, and also the same as that of the corresponding problem without both damping and mass term. For this purpose, we have to use the comparison argument twice, due to the damping and mass term, in additional to a key multiplier. Finally, we get the desired results by an iteration argument.

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U2 - 10.1007/978-3-030-10937-0_8

DO - 10.1007/978-3-030-10937-0_8

M3 - Chapter

AN - SCOPUS:85065829955

T3 - Trends in Mathematics

SP - 217

EP - 240

BT - Trends in Mathematics

PB - Springer International Publishing

ER -