A blow-up result for a nonlinear damped wave equation in exterior domain: The critical case. (1st June 2017)

• Record Type: Journal Article
• Authors: Fino, A.Z.; Ibrahim, H.; Wehbe, A.
• Is Part Of: Computers & mathematics with applications. Volume 73:issue 11(2017)
• Page Start: 2415
• Page End: 2420
• Publication Date: 2017-06-01
• Subjects: Nonlinear damped wave equation -- Blow-up -- Critical exponent; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.03.030
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: We consider the initial boundary value problem of the nonlinear damped wave equation in an exterior domain Ω . We prove a blow-up result which generalizes the result of non-existence of global solutions of Ogawa and Takeda (2009). We also show that the critical exponent belongs to the blow-up case.