Rank 2 Singular Solutions for Quasilinear Wave Equations

International Mathematics Research Notices

Volumn 2000, Issue 18, 2000, Pages 955-984

  Alinhac, S ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346678742     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792800000507     Document Type: Article

References (13)

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4. _, Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d'espace, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 22 (1995), 493-515.
5. _, Explosion des solutions d'une équation d'ondes quasi-linéaire en deux dimensions d'espace, Comm. Partial Differential Equations 21 (1996), 923-969.
6. _, Blowup of small data solutions far a quasilinear wave equation in two space dimensions, Ann. of Math. (2) 148 (1999), 97-127.
7. _, Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II, Acta Math. 182 (1999), 1-23.
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10. L. Hörmander, Linear Partial Differential Operators, Grundlehren Math. Wiss. 116, Springer, New York, 1969.
11. _, Lectures on Nonlinear Hyperbolic Differential Equations, Math. Appl. 26, Springer, Berlin, 1997.
12. F. John, Nonlinear Wave Equations, Formation of Singularities (Bethlehem, Pa., 1989), Univ. Lecture Ser. 2, Amer. Math. Soc., Providence, 1990.
13. P. D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, CBMS Regional Conf. Ser. in Appl. Math. 11, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 1973.