On the Regularity of Boundary Traces for the Wave Equation

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 26, Issue 1, 1998, Pages 185-206

  Tataru, Daniel ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037692639     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. [I] R. BEALS, C. FEFFERMAN, Spatially inhomogeneous pseudo-differential operators. Comm. Pure Appl. Math. 27 (1974), 1-24.
2. G.I. EsKiN, personal communication.
3. A. GREENLEAF, A. SEEGER, Fourier integral operators with fold singularities, J. Reine Angew. Math. 4 5 5 (1994), 35-56.
4. L. HÖRMANDER, "The Analysis of Linear Partial Differential Operators" I-IV, Springer Verlag, 1983-85.
5. I. LASIECKA, R. TRIGGIANI, Sharpregularitytheoryforsecondorderhyperbolicequations ofNeuman type, Ann. Mat. Pura Appl. (IV) 157 (1990), 285-367.
6. I. LASIECKA, R. TRIGGIANI, Exact controllability of the wave equation with Neuman boundary control. Appl. Math. Optim. 19 (1989), 243-290.
7. J. L. LIONS, E. MAGENES, "Problèmes aux limites non homogenes et applications", II, Dunod, Paris, 1970.
8. W. L i T T M AN, Near optimal time boundary controlability for a class of hyperbolic equations. Springer-Verlag Lecture Notes LNCIS 97 (1987), 307-312.
9. R. B.MELROSE, J. SJÖSTRAND, Singularities of Boundary Value Problems I-II, Comm. Pure Applied Math. 31 (1978), 593-617 and 35 (1982), 129-168.
10. D. TATARU, The spaces and unique continuation for solutions to the semilinear wave equation. Comm. Partial Differential Equations 21 (1996), 841-887.
11. [II] M. E. TAYLOR, "Pseudodifferential Operators", Princeton Univ. Press, 1981.