@article{JEDP_1992____A20_0, author = {Beals, Michael and Bezard, Max}, title = {\'Equations de champs non lin\'eaires : des solutions non n\'ecessairement born\'ees}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {20}, pages = {1--13}, publisher = {Ecole polytechnique}, year = {1992}, mrnumber = {93m:35127}, zbl = {0787.35075}, language = {fr}, url = {http://archive.numdam.org/item/JEDP_1992____A20_0/} }
TY - JOUR AU - Beals, Michael AU - Bezard, Max TI - Équations de champs non linéaires : des solutions non nécessairement bornées JO - Journées équations aux dérivées partielles PY - 1992 SP - 1 EP - 13 PB - Ecole polytechnique UR - http://archive.numdam.org/item/JEDP_1992____A20_0/ LA - fr ID - JEDP_1992____A20_0 ER -
Beals, Michael; Bezard, Max. Équations de champs non linéaires : des solutions non nécessairement bornées. Journées équations aux dérivées partielles (1992), article no. 20, 13 p. http://archive.numdam.org/item/JEDP_1992____A20_0/
[1] Problème de Cauchy global pour les systèmes de Dirac - Klein - Gordon. Ann. IHP Phys. Theor. 48 (1988) 383-428. | Numdam | MR | Zbl
-[2] Lp boundedness of Fourier integral operators. Memoirs AMS 264 (1982). | Zbl
-[3] Low regularity local solutions for field equations. preprint. | Zbl
, -[4] Une généralisation d'une inégalité de Strichartz. Note CRAS à paraître.
-[5] Relatvistic quantum mechanics. Mc Graw Hill.
, -[6] Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Ann. Sci. ENS 14 (1981) 209-246. | Numdam | MR | Zbl
-[7] Interaction des singularités. séminaire Goulaouic - Schwartz 1981-1982. | Numdam | Zbl
-[8] Interaction des singularités pour des équations de Klein - Gordon non linéaires. séminaire Goulaouic - Meyer - Schwartz 1983-1984. | Numdam | Zbl
-[9] On Lp - Lp' estimates for the wave equation. Math. Z 145 (1975) 251-254. | MR | Zbl
-[10] Global classical solutions of non linear wave equations. Math. Z 176 (1981) 87-121. | MR | Zbl
, -[11] Interaction de 3 ondes dans les équations semi-linéaires strictement hyperboliques. CPDE 12 (1987) 1203-1225. | MR | Zbl
-[12] Calcul symbolique bilinéaire et interaction contrôlée dans les équations aux dérivées partielles non linéaires strictement hyperboliques. Bull. SMF 116 (1988) 341-383. | Numdam | MR | Zbl
-[13] The Cauchy problem for coupled Yang - Mills and scalar fields in Lorentz gauge. Ann. IHP Phys. Theor. 36 (1982) 59-78. | Numdam | MR | Zbl
, -[14] Relativistic quantum mechanics. Springer.
-[15] Applications bilinéaires compatibles avec un système hyperbolique. C.R. Acad. Sci. Paris 301 (1985) 491-494. | MR | Zbl
, -[16] The analysis of linear partial differential operators. Springer 4 Vol. | Zbl
-[17] Nonlinear hyperbolic differential equations. Course in lund (1988).
-[18] Well posed quasi linear second order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Archive Rat. Mech. Anal. 63 (1977) 273-294. | MR | Zbl
, , -[19] The Cauchy problem for a semi-linear wave equation. preprint.
-[20] Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Duke Math. J. Vol. 55 (1987) 329-347. | MR | Zbl
, , -[21] The null condition and global existence for non linear waves. AMS Lect. Appl. Math. 23 (1986) 293-325. | MR | Zbl
-[22] Space-time estimates for null forms and the local existence theorem. Preprint (1991). | Zbl
, -[23] Blow-up for solutions of □ u = |u|p with small initial data. CPDE 15 (1990) 757-821. | MR | Zbl
-[24] Lp - Lq estimates for the Klein - Gordon equation. JMPA 59 (1980) 417-440. | MR | Zbl
, , -[25] Interaction of progressing waves for semi-linear wave equation I Ann. Math. 121 (1985) 149-236. | MR | Zbl
, -[26] Interaction of progressing waves for semi-linear wave equation II Arkiv. for Math. 25 (1987) 91-114. | MR | Zbl
, -[27] Lp estimates for the wave equation. JFA 36 (1980) 114-145. | MR | Zbl
-[28] Local regularity of non linear wave equations in three space dimensions. to appear CPDE. | Zbl
, -[29] Regularity properties of Fourier integral operators. Ann. Math. Vol. 134 (1991) 231-251. | MR | Zbl
, , -[30] Nonlinear semi-groups. Ann. Math. 78 (1963) 339-364. | MR | Zbl
-[31] Regularity results for nonlinear wave equations. Preprint. | Zbl
, -[32] Propagation of singularities and maximal functions in the plane. Inv. Math. 104 (1991) 349-376. | MR | Zbl
-[33] Averages over hypersurfaces smoothness of generalized Radon transforms. J. Anal. Math. Vol 54 (1990) 165-188. | MR | Zbl
, -[34] Beijing lectures in harmonic analysis. Princeton Univ. Press. | Zbl
-[35] Nonlinear wave equations. CBMS conference AMS 73.
-[36] Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave. Duke Math. J. Vol. 44 (1977) 705-714. | MR | Zbl
-[37] Regularity of weak solutions to a two dimensional modified Dirac - Klein - Gordon system of equations. Preprint MSRI (1991). | Zbl
-