Finite time blow-up for damped wave equations with space–time dependent potential and nonlinear memory

In this paper, we consider the Cauchy problem in Rn, n≥ 1 , for semilinear damped wave equations with space–time dependent potential and nonlinear memory. A blow-up result under some positive data in any dimensional space is obtained. Moreover, the local existence in the energy space is also studied. © 2018, Springer Nature Switzerland AG.

Authors
Dannawi I.1 , Kirane M. 2, 3, 4 , Fino A.Z.5
Journal
Nonlinear Differential Equations and Applications
Publisher
Birkhauser Verlag AG
Number of issue
5
Language
English
Status
Published
Link
External link
DOI
10.1007/s00030-018-0533-7
Number
38
Volume
25
Year
2018
Organizations
  • 1 Mathematics Department, Faculty of Sciences, Lebanese International University, Tripoli, Lebanon
  • 2 NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  • 3 LaSIE, Pôle Sciences et Technologies, Université de La Rochelle, Avenue Michel Crépeau, La Rochelle, 17031, France
  • 4 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 5 Mathematics Department, Faculty of Sciences (III), Lebanese University, Tripoli, Lebanon
Keywords
Blow-up; Local existence; Nonlinear damped wave equation; Subcritical potential
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6409/
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