@article{ASENS_2000_4_33_2_211_0, author = {Foschi, Damiano and Klainerman, Sergiu}, title = {Bilinear space-time estimates for homogeneous wave equations}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {211--274}, publisher = {Elsevier}, volume = {Ser. 4, 33}, number = {2}, year = {2000}, doi = {10.1016/s0012-9593(00)00109-9}, mrnumber = {2001g:35145}, zbl = {0959.35107}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(00)00109-9/} }
TY - JOUR AU - Foschi, Damiano AU - Klainerman, Sergiu TI - Bilinear space-time estimates for homogeneous wave equations JO - Annales scientifiques de l'École Normale Supérieure PY - 2000 SP - 211 EP - 274 VL - 33 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(00)00109-9/ DO - 10.1016/s0012-9593(00)00109-9 LA - en ID - ASENS_2000_4_33_2_211_0 ER -
%0 Journal Article %A Foschi, Damiano %A Klainerman, Sergiu %T Bilinear space-time estimates for homogeneous wave equations %J Annales scientifiques de l'École Normale Supérieure %D 2000 %P 211-274 %V 33 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(00)00109-9/ %R 10.1016/s0012-9593(00)00109-9 %G en %F ASENS_2000_4_33_2_211_0
Foschi, Damiano; Klainerman, Sergiu. Bilinear space-time estimates for homogeneous wave equations. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 2, pp. 211-274. doi : 10.1016/s0012-9593(00)00109-9. http://www.numdam.org/articles/10.1016/s0012-9593(00)00109-9/
[1] Low regularity local solutions for field equations, Comm. Partial Differential Equations 21 (1-2) (1996) 79-124. | MR | Zbl
, ,[2] On a endpoint case of the Klainerman-Machedon estimates, Preprint, 1998.
,[3] Generalized Strichartz inequalities for the wave equation, J. Funct. Anal. 133 (1) (1995) 50-68. | MR | Zbl
, ,[4] The Analysis of Linear Partial Differential Operators. I, 2nd ed., Springer Study Edition, Distribution Theory and Fourier Analysis, Springer, Berlin, 1990. | Zbl
,[5] Endpoint Strichartz estimates, Amer. J. Math. 120 (5) (1998) 955-980. | MR | Zbl
, ,[6] Space-time estimates for null forms and the local existence theorem, Comm. Pure Appl. Math. 46 (9) (1993) 1221-1268. | MR | Zbl
, ,[7] On the Maxwell-Klein-Gordon equation with finite energy, Duke Math. J. 74 (1) (1994) 19-44. | MR | Zbl
, ,[8] Finite energy solutions of the Yang-Mills equations in ℝ3 + 1, Ann. of Math. 142 (1995) 39-119. | MR | Zbl
, ,[9] Smoothing estimates for null forms and applications, Duke Math. J. 81 (1) (1995) 99-133 (A celebration of John F. Nash, Jr.). | MR | Zbl
, ,[10] Estimates for null forms and the spaces , Int. Math. Res. Not. 17 (1996) 853-865. | MR | Zbl
, ,[11] Remark on Strichartz-type inequalities, Int. Math. Res. Not. 5 (1996) 201-220. | MR | Zbl
, ,[12] On the optimal regularity for gauge field theories, Differential and Integral Equations 6 (1997) 1019-1030. | MR | Zbl
, ,[13] On the regularity properties of a model problem related to wave maps, Duke Math. J. 87 (3) (1997) 553-589. | MR | Zbl
, ,[14] Remark on the optimal regularity for equations of wave maps type, Comm. Partial Differential Equations 22 (5-6) (1997) 901-918. | MR | Zbl
, ,[15] On the optimal regularity for Yang-Mills equations in ℝ4+1, Preprint, 1998.
, ,[16] Multilinear space-time estimates and applications to local existence theory for nonlinear wave equations, Ph.D. Thesis, Princeton University, 1999.
,[17] Harmonic Analysis : Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton University Press, 1993. | MR | Zbl
,[18] Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J. 44 (3) (1977) 705-714. | MR | Zbl
,[19]
, private communication.[20] A bilinear approach to the restriction and Kakeya conjectures, J. Amer. Math. Soc. 11 (4) (1998) 967-1000. | MR | Zbl
, , ,[21] On global existence and scattering for the wave maps equation, Preprint, 1998.
,[22] On the equation □u = |∇u|² in 5 + 1 dimensions, Preprint, 1999.
,[23] A restriction theorem for the Fourier transform, Bull. Amer. Math. Soc. 81 (1975) 477-478. | MR | Zbl
,[24] A sharp bilinear cone restriction estimate, Preprint, 1999.
,Cité par Sources :