On “almost global” solutions to quasilinear wave equations in three space dimensions

Sergiù Klainerman

Type: Article

Publication Date: 1983-05-01

Citations: 44

DOI: https://doi.org/10.1002/cpa.3160360304

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Locations

Communications on Pure and Applied Mathematics - View

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+ PDF Chat	Strichartz estimates and maximal operators for the wave equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2013	Marius Beceanu Michael Goldberg
+ 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
+ PDF Chat	Almost Global Existence for the Prandtl Boundary Layer Equations	2015	Mihaela Ignatova Vlad Vicol
+	Almost Global Solutions to Hamiltonian Derivative Nonlinear Schrödinger Equations on the Circle	2019	Jing Zhang
+ PDF Chat	Small-data shock formation in solutions to 3D quasilinear wave equations: An overview	2016	Gustav Holzegel Sergiù Klainerman Jared Speck Willie Wai-Yeung Wong
+ PDF Chat	Stable Shock Formation for Nearly Simple Outgoing Plane Symmetric Waves	2016	Jared Speck Gustav Holzegel Jonathan Luk Willie Wai-Yeung Wong
+ PDF Chat	Singularities and horizons in the collisions of gravitational waves	1989	Ulvi Yurtsever
+	Long time existence of solutions for ∂2∂T2u(x,t) + ∂∂Tα(u(x,t)) = ∂2∂X2β(u(x,t))	1991	Frederick Bloom
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Works Cited by This (6)

Action	Title	Year	Authors
+	Global existence for nonlinear wave equations	1980	Sergiù Klainerman
+	Blow‐up for quasi‐linear wave equations in three space dimensions	1981	Fritz John
+	L p-Decay rates for homogeneous wave-equations	1971	Wolf von Wahl
+	Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions	1983	Fritz John
+	Global, small amplitude solutions to nonlinear evolution equations	1983	Sergiù Klainerman Gustavo Ponce
+	Global existence of small solutions to nonlinear evolution equations	1982	Jalal Shatah