On the well-posedness of the wave map problem in high dimensions

Andrea R. Nahmod, Atanas Stefanov, Karen Uhlenbeck

Type: Preprint

Publication Date: 2001-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.math/0109212

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the well-posedness of the wave map problem in high dimensions	2003	Andrea R. Nahmod Atanas Stefanov Karen Uhlenbeck
+ PDF Chat	The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions $d\geq 4$	2016	Andrew Lawrie Sung‐Jin Oh Sohrab Shahshahani
+ PDF Chat	Global Well-Posedness and Soliton Resolution for the Half-Wave Maps Equation with Rational Data	2024	Patrick Gérard Enno Lenzmann
+ PDF Chat	A note on ill-posedness of the Cauchy problem for Heisenberg wave maps	2008	Luca Capogna Jalal Shatah
+	Small data global regularity for half-wave maps in $n = 4$ dimensions	2019	Anna Kiesenhofer Joachim Krieger
+	Small data global regularity for half-wave maps in $n = 4$ dimensions	2019	Anna Kiesenhofer Joachim Krieger
+ PDF Chat	Global well-posedness and scattering for Skyrme wave maps	2012	Dan-Andrei Geba Kenji Nakanishi S. G. Rajeev
+	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
+	None	2002	Jalal Shatah Michaël Struwe
+	Long time solutions for wave maps with large data	2012	Jinhua Wang Pin Yu
+	Global Well-Posedness For Half-Wave Maps With $S^2$ and $\mathbb{H}^2$ Targets For Small Smooth Initial Data	2021	Yang Liu
+ PDF Chat	Global Well-Posedness For Half-Wave Maps With $ S^2 $ and $ \mathbb{H}^2 $ Targets For Small Smooth Initial Data	2022	Yang Liu
+	On global existence and scattering for the wave maps equation	2001	Daniel Tataru
+ PDF Chat	On uniqueness for hyperbolic half-wave maps in dimension $d \geq 3$	2024	Silvino Reyes Farina
+	Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data	1998	Marcus Keel Terence Tao
+	Wave equation on Riemannian symmetric spaces	2011	Ali Hassani
+	On the wave map problem	2000	Manoussos G. Grillakis
+	Small data global existence and decay for two dimensional wave maps	2017	Willie Wai-Yeung Wong
+	Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces	2013	Zdzisław Brzeźniak Martin Ondreját

Works That Cite This (4)

Action	Title	Year	Authors
+ PDF Chat	On the Cauchy Problem for a Dynamical Euler's Elastica	2003	Almut Burchard Lawrence E. Thomas
+ PDF Chat	Uniqueness results for some PDEs	2003	Nader Masmoudi
+	On Schrödinger maps	2002	Andrea R. Nahmod Atanas Stefanov Karen Uhlenbeck
+	Unconditional well-posedness for wave maps	2011	Fabrice Planchon Nader Masmoudi

Works Cited by This (11)

Action	Title	Year	Authors
+	None	2001	Sergiù Klainerman Igor Rodnianski
+	None	2001	Terence Tao
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon
+	On Schr\"odinger maps	2001	Andrea R. Nahmod Atanas Stefanov Karen Uhlenbeck
+	On global existence and scattering for the wave maps equation	2001	Daniel Tataru
+ PDF Chat	The approximation problem for Sobolev maps between two manifolds	1991	Fabrice Béthuel
+	Remark on the optimal regularity for equations of wave maps type	1997	Sergiù Klainerman Sigmund Selberg
+ PDF Chat	Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions	2001	Terence Tao
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao
+	Connections withL P bounds on curvature	1982	Karen Uhlenbeck