@article{ASENS_2000_4_33_4_485_0, author = {Smith, Hart F. and Sogge, Christopher D.}, title = {Null form estimates for $(1/2,1/2)$ symbols and local existence for a quasilinear {Dirichlet-wave} equation}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {485--506}, publisher = {Elsevier}, volume = {Ser. 4, 33}, number = {4}, year = {2000}, doi = {10.1016/s0012-9593(00)00119-1}, mrnumber = {2002j:35194}, zbl = {01702165}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(00)00119-1/} }
TY - JOUR AU - Smith, Hart F. AU - Sogge, Christopher D. TI - Null form estimates for $(1/2,1/2)$ symbols and local existence for a quasilinear Dirichlet-wave equation JO - Annales scientifiques de l'École Normale Supérieure PY - 2000 SP - 485 EP - 506 VL - 33 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(00)00119-1/ DO - 10.1016/s0012-9593(00)00119-1 LA - en ID - ASENS_2000_4_33_4_485_0 ER -
%0 Journal Article %A Smith, Hart F. %A Sogge, Christopher D. %T Null form estimates for $(1/2,1/2)$ symbols and local existence for a quasilinear Dirichlet-wave equation %J Annales scientifiques de l'École Normale Supérieure %D 2000 %P 485-506 %V 33 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(00)00119-1/ %R 10.1016/s0012-9593(00)00119-1 %G en %F ASENS_2000_4_33_4_485_0
Smith, Hart F.; Sogge, Christopher D. Null form estimates for $(1/2,1/2)$ symbols and local existence for a quasilinear Dirichlet-wave equation. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 4, pp. 485-506. doi : 10.1016/s0012-9593(00)00119-1. http://www.numdam.org/articles/10.1016/s0012-9593(00)00119-1/
[1] Low regularity local solutions for field equations, Comm. Partial Differential Equations 21 (1996) 79-124. | MR | Zbl
, ,[2] Space-time estimates for null forms and the local existence theorem, Comm. Pure. Appl. Math. 46 (1993) 1221-1268. | MR | Zbl
, ,[3] Near peak scattering and the corrected Kirchoff approximation for a convex obstacle, Adv. Math. 55 (1985) 242-315. | MR | Zbl
, ,[4] The radiation pattern of a diffractive wave near the shadow boundary, Comm. Partial Differential Equations 11 (1985) 599-672. | MR | Zbl
, ,[5] Boundary problems for the wave equation with grazing and gliding rays, Manuscript.
, ,[6] Regularity properties of Fourier integral operators, Ann. Math. 133 (1991) 231-251. | MR | Zbl
, , ,[7] A parametrix construction for wave equations with C¹,¹ coefficients, Annales de l'Institut Fourier 48 (1998). | Numdam | MR | Zbl
,[8] Strichartz and null form estimates for metrics of bounded curvature, Preprint.
,[9] Wave equations with low regularity coefficients, in : Documenta Mathematica, Extra Volume ICM, II, Berlin, 1998, pp. 723-730. | MR | Zbl
,[10] On the critical semilinear wave equation outside convex obstacles, J. Amer. Math. Soc. 8 (1995) 879-916. | MR | Zbl
, ,[11] On local existence for nonlinear wave equations satisfying variable coefficient null conditions, Comm. PDE 18 (1993) 1795-1821. | MR | Zbl
,[12] Lectures on Nonlinear Wave Equations, Int. Press, 1995. | MR | Zbl
,[13] High frequency scattering by a convex obstacle, Duke Math. J. 61 (1990) 545-634. | MR | Zbl
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