-
1
-
-
0040531568
-
Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
-
[B1]. MR 1676714
-
[B1] D. BAMBUSI, Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations, Math. Z. 230 (1999), 345-387. MR 1676714
-
(1999)
Math. Z.
, vol.230
, pp. 345-387
-
-
Bambusi, D.1
-
2
-
-
0033164277
-
On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
-
[B2] _. MR 1709838
-
[B2] _, On long time stability in Hamiltonian perturbations of non-resonant linear PDEs, Nonlinearity 12 (1999), 823-850. MR 1709838
-
(1999)
Nonlinearity
, vol.12
, pp. 823-850
-
-
-
3
-
-
0344197690
-
An averaging theorem for quasilinear Hamiltonian PDEs
-
[B3] _. MR 2015427
-
[B3] _, An averaging theorem for quasilinear Hamiltonian PDEs, Ann. Henri Poincaré 4 (2003), 685-712. MR 2015427
-
(2003)
Ann. Henri Poincaré
, vol.4
, pp. 685-712
-
-
-
4
-
-
0037346777
-
Birkhoff normal form for some nonlinear PDEs
-
[B4] _. MR 1962462
-
[B4] _, Birkhoff normal form for some nonlinear PDEs, Comm. Math. Phys. 234 (2003), 253-285. MR 1962462
-
(2003)
Comm. Math. Phys.
, vol.234
, pp. 253-285
-
-
-
5
-
-
84967425466
-
Birkhoff normal form for some quasilinear Hamiltonian PDEs
-
[B5] _. XIVth International Congress on Mathematical Physics (Lisbon, 2003), Hackensack, N.J., MR 2227839
-
[B5] _. "Birkhoff normal form for some quasilinear Hamiltonian PDEs" in XIVth International Congress on Mathematical Physics (Lisbon, 2003). World Sci., Hackensack, N.J., 2005, 273-280. MR 2227839
-
(2005)
World Sci.
, pp. 273-280
-
-
-
6
-
-
10744230775
-
Forme normale pour NLS en dimension quelconque
-
[BG]. MR 2015085
-
[BG] D. BAMBUSI and B. GRÉBERT, Forme normale pour NLS en dimension quelconque, C. R. Math. Acad. Sci. Paris 337 (2003), 409-414. MR 2015085
-
(2003)
C. R. Math. Acad. Sci. Paris
, vol.337
, pp. 409-414
-
-
Bambusi, D.1
Grébert, B.2
-
7
-
-
0003296676
-
A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
-
[BGG]. MR 0830795
-
[BGG] G. BENETTIN, L. GALGANI, and A. GIORGILLI, A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems, Celestial Mech. 37 (1985), 1-25. MR 0830795
-
(1985)
Celestial Mech.
, vol.37
, pp. 1-25
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
-
8
-
-
84963026889
-
Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE
-
[Bo1]. MR 1316975
-
[Bo1] J. BOURGAIN, Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE, Internat. Math. Res. Notices 1994, no. 11, 475-497. MR 1316975
-
Internat. Math. Res. Notices 1994
, Issue.11
, pp. 475-497
-
-
Bourgain, J.1
-
9
-
-
17944387090
-
Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
-
[Bo2] _. MR 1384610
-
[Bo2] _, Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations, Geom. Funct. Anal. 6 (1996), 201-230. MR 1384610
-
(1996)
Geom. Funct. Anal.
, vol.6
, pp. 201-230
-
-
-
10
-
-
0032272850
-
Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
-
[Bo3] _. MR 1668547
-
[Bo3] _, Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations, Ann. of Math. (2) 148 (1998), 363-439. MR 1668547
-
(1998)
Ann. of Math. (2)
, vol.148
, pp. 363-439
-
-
-
11
-
-
0012590987
-
On diffusion in high-dimensional Hamiltonian systems and PDE
-
[Bo4] _. MR 1771522
-
[Bo4] _, On diffusion in high-dimensional Hamiltonian systems and PDE. J. Anal. Math. 80 (2000), 1-35. MR 1771522
-
(2000)
J. Anal. Math.
, vol.80
, pp. 1-35
-
-
-
12
-
-
9344246847
-
Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations
-
[Bo5] _. MR 2104588
-
[Bo5] _, Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations, Ergodic Theory Dynam. Systems 24 (2004), 1331-1357. MR 2104588
-
(2004)
Ergodic Theory Dynam. Systems
, vol.24
, pp. 1331-1357
-
-
-
13
-
-
33745935970
-
Green's function estimates for lattice Schrödinger operators and applications
-
[Bo6] _, Princeton Univ. Press, Princeton. MR 2100420
-
[Bo6] _, Green's Function Estimates for Lattice Schrödinger Operators and Applications, Ann. of Math. Stud. 158, Princeton Univ. Press, Princeton, 2005. MR 2100420
-
(2005)
Ann. of Math. Stud.
, vol.158
-
-
-
14
-
-
8744221061
-
Problèmes de petits diviseurs dans les équations aux dérivées partielles
-
[C], Soc. Math. France, Montrouge. MR 1804420
-
[C] W. CRAIG, Problèmes de petits diviseurs dans les équations aux dérivées partielles, Panor. et Synthèses 9, Soc. Math. France, Montrouge, 2000. MR 1804420
-
(2000)
Panor. et Synthèses
, vol.9
-
-
Craig, W.1
-
15
-
-
84990576596
-
Newton's method and periodic solutions of nonlinear wave equations
-
[CW] MR 1239318
-
[CW] W. CRAIG and C. E. WAYNE, Newton's method and periodic solutions of nonlinear wave equations. Comm. Pure Appl. Math. 46 (1993), 1409-1498. MR 1239318
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 1409-1498
-
-
Craig, W.1
Wayne, C.E.2
-
16
-
-
3042772564
-
Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres
-
[DS1] MR 2056326
-
[DS1] J.-M. DELORT and J. SZEFTEL, Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres. Int. Math. Res. Not. 2004, no. 37, 1897-1966. MR 2056326
-
Int. Math. Res. Not. 2004
, Issue.37
, pp. 1897-1966
-
-
Delort, J.-M.1
Szeftel, J.2
-
17
-
-
33845811022
-
Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
-
[DS2] _, to appear in
-
[DS2] _, Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds, to appear in Amer. J. Math.
-
Amer. J. Math.
-
-
-
18
-
-
0035527618
-
Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator
-
[KM] MR 1857991
-
[KM] T. KAPPELER and B. MITYAGIN, Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator, SIAM J. Math. Anal. 33 (2001), 113-152. MR 1857991
-
(2001)
SIAM J. Math. Anal.
, vol.33
, pp. 113-152
-
-
Kappeler, T.1
Mityagin, B.2
-
19
-
-
81155127623
-
KdV & KAM
-
[KP], Springer, Berlin. MR 1997070
-
[KP] T. KAPPELER and J. PÖSCHEL, KdV & KAM, Ergeb. Math. Grenzgeb. (3) 45, Springer, Berlin, 2003. MR 1997070
-
(2003)
Ergeb. Math. Grenzgeb. (3)
, vol.45
-
-
Kappeler, T.1
Pöschel, J.2
-
20
-
-
84990553346
-
On "almost global" solutions to quasilinear wave equations in three space dimensions
-
[K]. MR 0697468
-
[K] S. KLAINERMAN, On "almost global" solutions to quasilinear wave equations in three space dimensions, Comm. Pure Appl. Math. 36 (1983), 325-344. MR 0697468
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, pp. 325-344
-
-
Klainerman, S.1
-
21
-
-
51249177748
-
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum
-
[Ku1]. MR 0911772
-
[Ku1] S. B. KUKSIN, Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Funct. Anal. Appl. 21 (1987), 192-205. MR 0911772
-
(1987)
Funct. Anal. Appl.
, vol.21
, pp. 192-205
-
-
Kuksin, S.B.1
-
22
-
-
0001836195
-
Nearly integrable infinite-dimensional hamiltonian systems
-
[Ku2] _, Springer, Berlin. MR 1290785
-
[Ku2] _, Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Lecture Notes in Math. 1556, Springer, Berlin, 1993. MR 1290785
-
(1993)
Lecture Notes in Math.
, vol.1556
-
-
-
23
-
-
0011111544
-
Analysis of Hamiltonian PDEs
-
[Ku3] _, Oxford Univ. Press. New York. MR 1857574
-
[Ku3] _, Analysis of Hamiltonian PDEs, Oxford Lecture Ser. Math. Appl. 19, Oxford Univ. Press. New York, 2000. MR 1857574
-
(2000)
Oxford Lecture Ser. Math. Appl.
, vol.19
-
-
-
24
-
-
0040157758
-
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
-
[KuP]. MR 1370761
-
[KuP] S. B. KUKSIN and J. PÖSCHEL, Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Ann. of Math. (2) 143 (1996), 149-179. MR 1370761
-
(1996)
Ann. of Math. (2)
, vol.143
, pp. 149-179
-
-
Kuksin, S.B.1
Pöschel, J.2
-
25
-
-
0003347279
-
Sturm-Liouville operators and applications
-
[M], Birkhäuser, Basel. MR 0897106
-
[M] V. A. MARCHENKO, Sturm-Liouville Operators and Applications, Oper. Theory Adv. Appl. 22, Birkhäuser, Basel, 1986. MR 0897106
-
(1986)
Oper. Theory Adv. Appl.
, vol.22
-
-
Marchenko, V.A.1
-
26
-
-
84956208186
-
The method of Poincaré normal forms in problems of integrability of equations of evolution type
-
[N] MR 0878327
-
[N] N. V. NIKOLENKO, The method of Poincaré normal forms in problems of integrability of equations of evolution type, Russian Math. Surveys 41, no. 5 (1986), 63-114. MR 0878327
-
(1986)
Russian Math. Surveys
, vol.41
, Issue.5
, pp. 63-114
-
-
Nikolenko, N.V.1
-
27
-
-
0037918331
-
Inverse spectral theory
-
[PT], Academic Press, Boston. MR 0894477
-
[PT] J. PÖSCHEL and E. TRUBOWITZ, Inverse Spectral Theory, Pure Appl. Math. 130, Academic Press, Boston, 1987. MR 0894477
-
(1987)
Pure Appl. Math.
, vol.130
-
-
Pöschel, J.1
Trubowitz, E.2
-
28
-
-
0000502263
-
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
-
[W]. MR 1040892
-
[W] C. E. WAYNE, Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Comm. Math. Phys. 127 (1990), 479-528. MR 1040892
-
(1990)
Comm. Math. Phys.
, vol.127
, pp. 479-528
-
-
Wayne, C.E.1
-
29
-
-
0031285618
-
Invariant tori for nearly integrable Hamiltonian systems with degeneracy
-
[XYQ]. MR 1483538
-
[XYQ] J. XU, J. YOU, and Q. QIU, Invariant tori for nearly integrable Hamiltonian systems with degeneracy, Math. Z. 226 (1997), 375-387. MR 1483538
-
(1997)
Math. Z.
, vol.226
, pp. 375-387
-
-
Xu, J.1
You, J.2
Qiu, Q.3
|