The Lifespan for Nonlinear Wave Equation Outside of Star-Shaped Obstacle in Three Space Dimensions

Yi Du, Yi Zhou

Type: Article

Publication Date: 2008-08-08

Citations: 27

DOI: https://doi.org/10.1080/03605300802026242

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Locations

Communications in Partial Differential Equations - View

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Works That Cite This (27)

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+	Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions	2018	Jun Li Huicheng Yin
+ PDF Chat	Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions	2014	Dongbing Zha Yi Zhou
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+	Lifespan estimates for $2$-dimensional semilinear wave equations in asymptotically Euclidean exterior domains	2020	N. Lai Mengyun Liu Kyouhei Wakasa Chengbo Wang
+	Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions	2022	Jiangyan Yao Wei Han Jie Yang
+	Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations	2021	Dongbing Zha Fanshun Wang
+ PDF Chat	Long-time Existence for Systems of Quasilinear Wave Equations	2023	Jason Metcalfe Taylor Rhoads
+	Global existence for systems of quasilinear wave equations in (1 + 4)-dimensions	2019	Jason Metcalfe Katrina Morgan
+	On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles	2009	Kunio Hidano Jason Metcalfe Hart F. Smith Christopher D. Sogge Yi Zhou
+ PDF Chat	Almost Global Existence for 3-D Quasilinear Wave Equations in Exterior Domains with Neumann Boundary Conditions	2022	Meng Yuan

Works Cited by This (19)

Action	Title	Year	Authors
+	Global classical solutions for nonlinear evolution equations	1992	Tatsien Li Yunmei Chen
+	Almost global existence for quasilinear wave equations in three space dimensions	2003	M. Keel Hart F. Smith Christopher D. Sogge
+	On almost global existence for nonrelativistic wave equations in 3D	1996	Sergiù Klainerman Thomas C. Sideris
+ PDF Chat	Almost global existence for some semilinear wave equations	2002	M. Keel Hart F. Smith Christopher D. Sogge
+	Life–span of classocal solutions to fully nonlinear wave equations	1991	Tatsien Li Li Xin Yu
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds	2001	Thomas C. Sideris Shu-Yi Tu
+	On the lifespan of solutions of nonlinear wave equations with small initial data	1990	Hans Lindblad
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman
+ PDF Chat	Blow-up of solutions of nonlinear wave equations in three space dimensions	1979	Fritz John
+	Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods	2006	Jason Metcalfe Christopher D. Sogge