Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data

Marcus Keel, Terence Tao

Type: Preprint

Publication Date: 1998-01-01

Citations: 42

DOI: https://doi.org/10.48550/arxiv.math/9807171

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+	On the Regularity of Classical Field Theories in Minkowski Space-Time R3+1	1997	Sergiù Klainerman
+	Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension	1982	Jeffrey Rauch Michael C. Reed
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Weak solutions and development of singularities of the SU(2) σ‐model	1988	Jalal Shatah
+	On the cauchy problem for equivariant wave maps	1994	Jalal Shatah A. Shadi Tahvildar‐Zadeh
+	Global existence for nonlinear wave equations	1980	Sergiù Klainerman
+	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
+	On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space	1980	Chaohao Gu
+	On local existence for nonlinear wave equations satisfying variable coefficient null conditions	1993	Christopher D. Sogge