Counterexamples to local existence for semi-linear wave equations

Hans Lindblad

Type: Article

Publication Date: 1996-02-01

Citations: 122

DOI: https://doi.org/10.1353/ajm.1996.0002

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American Journal of Mathematics - View

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Works Cited by This (12)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Weak and Yet Weaker Solutions of Semilinear Wave Equations	1994	Lev Kapitanski
+	The analysis of linear partial differential operators	1990	Lars Hörmander
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+	On the cauchy problem for equivariant wave maps	1994	Jalal Shatah A. Shadi Tahvildar‐Zadeh
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+	On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations	1995	Hans Lindblad Christopher D. Sogge
+	Blow-up for solutions of □u=\|u\|<sup>p</sup>with small initial data.	1990	Hans Lindblad
+	Local regularity of nonlinear wave equations in three space dimensions	1993	Gustavo Ponce Thomas C. Sideris
+	Explosion for some semilinear wave equations	1988	Jeffrey Rauch