Article ID Journal Published Year Pages File Type
4616418 Journal of Mathematical Analysis and Applications 2014 6 Pages PDF
Abstract

In this paper, we established the blow up theorem for critical semilinear wave equations with focusing nonlinear term on Schwarzschild spacetime. Concavity method is used to prove the main result, which was introduced by Levine–Payne in the papers Levine and Payne (1974) [11] and [12] and Levine (1973) [7] in 1970s. Also, a new auxiliary function with parameter ββ is constructed following the idea from Payne (1975) [13], in order to guarantee that the result holds without any assumption on the initial data and initial energy.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
,