On the regularity properties of a model problem related to wave maps

Sergiù Klainerman, Matei Machedon

Type: Article

Publication Date: 1997-04-15

Citations: 76

DOI: https://doi.org/10.1215/s0012-7094-97-08718-4

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Locations

Duke Mathematical Journal - View

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Works That Cite This (76)

Action	Title	Year	Authors
+	Équations d'ondes quasilinéaires et estimations de Strichartz	1999	Hajer Bahouri Jean-Yves Chemin
+ PDF Chat	On the stability of blowup solutions for the critical corotational wave-map problem	2020	Joachim Krieger Shuang Miao
+	Global regularity of wave maps III. Large energy from $\R^{1+2}$ to hyperbolic spaces	2008	Terence Tao
+ PDF Chat	Global well-posedness for the Maxwell–Klein–Gordon equation in 4+1 dimensions: Small energy	2015	Joachim Krieger Jacob Sterbenz Daniel Tataru
+	On the local existence for the maxwell-klein-gordon system in R<sup>3+1</sup>	1999	Scipio Cuccagna
+	On the Global Regularity of Wave Maps in the Critical Sobolev Norm	2000	Sergiù Klainerman Igor Rodnianski
+	The Cauchy problem for wave maps on hyperbolic space in dimensions $d \geq 4$	2015	Andrew Lawrie Sung‐Jin Oh Sohrab Shahshahani
+ PDF Chat	Some Sharp Restriction Inequalities on the Sphere	2014	Emanuel Carneiro Diogo Oliveira e Silva
+	Nonlocal Cauchy problems for wave equations and applications	2017	Veli Shakhmurov
+	Integral type Cauchy problem for abstract wave equations and applications	2021	Ravi P. Agarwal Veli Shakhmurov

Works Cited by This (11)

Action	Title	Year	Authors
+	None	1996	Sergiù Klainerman Matei Machedon
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Regularity of weakly harmonic maps from a surface into a manifold with symmetries	1991	Frédéric Hélein
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+	Finite Energy Solutions of the Yang-Mills Equations in ℝ 3+1	1995	Sergiù Klainerman Matei Machedon
+	On the regularity of spherically symmetric wave maps	1993	Demetrios Christodoulou A. Shadi Tahvildar‐Zadeh
+	On the Maxwell-Klein-Gordon equation with finite energy	1994	Sergiù Klainerman Matei Machedon
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain
+	None	1994	Sergiù Klainerman Matei Machedon