Lifespan estimate for semilinear wave equation in Schwarzschild spacetime. (January 2020)

• Record Type: Journal Article
• Authors: Lin, Yinhe; Lai, Ning-An; Ming, Sen
• Is Part Of: Applied mathematics letters. Volume 99(2020)
• Publication Date: 2020-01
• Subjects: Semilinear wave equation -- Schwarzschild spacetime -- Lifespan; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.105997
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper we prove the blow-up result for small data Cauchy problem of semilinear wave equation in Schwarzschild spacetime with p ∈ [ 3 2, 2 ], without the assumption that the supports of the initial data should be far away from the black hole. What is more, we establish the upper bound of the lifespan estimate.