Global regularity of wave maps III. Large energy from $\R^{1+2}$ to hyperbolic spaces

Terence Tao

Type: Preprint

Publication Date: 2008-01-01

Citations: 33

DOI: https://doi.org/10.48550/arxiv.0805.4666

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View
arXiv (Cornell University) - View
DataCite API - View
arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class	2008	Terence Tao
+	Global regularity of wave maps V. Large data local wellposedness and perturbation theory in the energy class	2008	Terence Tao
+ PDF Chat	Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions	2001	Terence Tao
+	A REGULARITY THEOREM FOR ENERGY CRITICAL WAVE-MAPS	2010	Jacob Sterbenz Daniel Tataru
+ PDF	The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions $d\geq 4$	2016	Andrew Lawrie Sung‐Jin Oh Sohrab Shahshahani
+	The Cauchy problem for wave maps on hyperbolic space in dimensions $d \geq 4$	2015	Andrew Lawrie Sung‐Jin Oh Sohrab Shahshahani
+	The Cauchy problem for wave maps on hyperbolic space in dimensions $d \geq 4$	2015	Andrew Lawrie Sung‐Jin Oh Sohrab Shahshahani
+ PDF	Global Regularity of Wave Maps from R2+1 to H2. Small Energy	2004	Joachim Krieger
+	On the soliton resolution conjecture for wave maps	2016	Roland Grinis
+	Asymptotic stability of small energy harmonic maps under the wave map on 2D hyperbolic space	2017	Ze Li Xiao Ma Lifeng Zhao
+	Energy bounds for a fourth-order equation in low dimensions related to wave maps	2022	Tobias Schmid
+	Wave maps	1997	Michaël Struwe
+	An alternative proof for small energy implies regularity for radially symmetric $$(1+2)$$-dimensional wave maps	2024	N. Lai Yi Zhou
+	Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case	2017	Ze Li Xiao Ma Lifeng Zhao
+ PDF Chat	Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case	2018	Ze Li Xiao Ma Lifeng Zhao
+ PDF	Regularity of Wave-Maps in Dimension 2 + 1	2010	Jacob Sterbenz Daniel Tataru
+	Long time solutions for wave maps with large data	2012	Jinhua Wang Pin Yu
+	Global regularity of wave maps I. Small critical Sobolev norm in high dimension	2000	Terence Tao
+	Small data global existence and decay for two dimensional wave maps	2017	Willie Wai-Yeung Wong
+	On the Global Regularity of Wave Maps in the Critical Sobolev Norm	2000	Sergiù Klainerman Igor Rodnianski

Works That Cite This (32)

Action	Title	Year	Authors
+ PDF Chat	On the stability of blowup solutions for the critical corotational wave-map problem	2020	Joachim Krieger Shuang Miao
+	Gauge choice for the Yang-Mills equations using the Yang-Mills heat flow and local well-posedness in $H^{1}$	2012	Sung‐Jin Oh
+	The threshold conjecture for the energy critical hyperbolic Yang--Mills equation	2017	Sung‐Jin Oh Daniel Tataru
+ PDF	Quantization of Time-Like Energy for Wave Maps into Spheres	2016	Roland Grinis
+	The Threshold Theorem for the $(4+1)$-dimensional Yang--Mills equation: an overview of the proof	2017	Sung‐Jin Oh Daniel Tataru
+	Convergence to harmonic maps for the Landau-Lifshitz flows on two dimensional hyperbolic spaces	2016	Ze Li Lifeng Zhao
+ PDF Chat	The Yang-Mills heat flow and the caloric gauge	2022	Sung‐Jin Oh Daniel Tataru
+ PDF Chat	Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium	2020	Yuan Cai Wei Wang
+	An alternative approach to regularity for the Navier–Stokes equations in critical spaces	2010	Carlos E. Kenig Gabriel S. Koch
+ PDF	Local Well-Posedness of the (4 + 1)-Dimensional Maxwell–Klein–Gordon Equation at Energy Regularity	2016	Sung‐Jin Oh Daniel Tataru

Works Cited by This (58)

Action	Title	Year	Authors
+ PDF	On the well-posedness of the wave map problem in high dimensions	2003	Andrea R. Nahmod Atanas Stefanov Karen Uhlenbeck
+	The Cauchy Problem for Harmonic Maps on Minkowski Space	1995	Jalal Shatah
+	Global regularity of wave maps VII. Control of delocalised or dispersed solutions	2009	Terence Tao
+	Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class	2008	Terence Tao
+	On the regularity properties of a model problem related to wave maps	1997	Sergiù Klainerman Matei Machedon
+	On the Regularity of Classical Field Theories in Minkowski Space-Time R3+1	1997	Sergiù Klainerman
+	Nonlinear Dispersive Equations	2006	Terence Tao
+ PDF	Applications harmoniques de surfaces riemanniennes	1978	Luc Lemaire
+	Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions	2009	Terence Tao
+ PDF	Global existence of wave maps in $1 + 2$ dimensions with finite energy data	1996	Stefan Müller Michaël Struwe