-
1
-
-
0000466947
-
Uniform decay estimates for a class of oscillatory integrals and applications
-
[BS]
-
[BS] M. BEN-ARTZI, J.-C. SAUT, Uniform decay estimates for a class of oscillatory integrals and applications, Diff. Int. Eq. 12 (1999), 137-145.
-
(1999)
Diff. Int. Eq.
, vol.12
, pp. 137-145
-
-
Ben-Artzi, M.1
Saut, J.-C.2
-
3
-
-
0001285869
-
On the Cauchy problem for the Kadomtsev-Petviashvili equation
-
[Bo]
-
[Bo] J. BOURGAIN, On the Cauchy problem for the Kadomtsev-Petviashvili equation, Geom. Funct. Anal. 3 (1993), 315-341.
-
(1993)
Geom. Funct. Anal.
, vol.3
, pp. 315-341
-
-
Bourgain, J.1
-
4
-
-
0000710166
-
Globalizing estimates for the periodic KPI equation
-
[C]
-
[C] J. COLLIANDER, Globalizing estimates for the periodic KPI equation, Illinois J. Math. 40:4 (1996), 692-698.
-
(1996)
Illinois J. Math.
, vol.40
, Issue.4
, pp. 692-698
-
-
Colliander, J.1
-
5
-
-
0141744714
-
Small solutions for the Kadomtsev-Petviashvili I equation
-
[CKS]
-
[CKS] J. COLLIANDER, C. KENIG, G. STAFFILANI, Small solutions for the Kadomtsev-Petviashvili I equation, Mosc. Math. J. 1:4 (2001), 491-520.
-
(2001)
Mosc. Math. J.
, vol.1
, Issue.4
, pp. 491-520
-
-
Colliander, J.1
Kenig, C.2
Staffilani, G.3
-
6
-
-
0009367957
-
Cauchy problem for the generalized Kadomtsev-Petviashvili equation
-
[F]
-
[F] A.V. FAMINSKII, Cauchy problem for the generalized Kadomtsev-Petviashvili equation, Sibirsk. Mat. Zh. 33 (1992), 160-172.
-
(1992)
Sibirsk. Mat. Zh.
, vol.33
, pp. 160-172
-
-
Faminskii, A.V.1
-
7
-
-
0001605032
-
On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
-
[FoS]
-
[FoS] A.S. FOKAS, L.Y. SUNG, On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations, Inverse Problems 8 (1992), 673-708.
-
(1992)
Inverse Problems
, vol.8
, pp. 673-708
-
-
Fokas, A.S.1
Sung, L.Y.2
-
8
-
-
0031574596
-
On the Cauchy problem for the Zakharov system
-
[GTV]
-
[GTV] J. GINIBRE, Y. TSUTSUMI, G. VELO, On the Cauchy problem for the Zakharov system, J. Funct. Anal. 151:2 (1997), 384-436.
-
(1997)
J. Funct. Anal.
, vol.151
, Issue.2
, pp. 384-436
-
-
Ginibre, J.1
Tsutsumi, Y.2
Velo, G.3
-
11
-
-
0141856294
-
Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation
-
[IsMS2]
-
[IsMS2] P.J. ISAZA, J.L. MEJÍA, V. STALLBOHM, Regularizing effects for the linearized Kadomtsev-Petviashvili (KP) equation, Rev. Colombiana Mat. 31 (1997), 37-61.
-
(1997)
Rev. Colombiana Mat.
, vol.31
, pp. 37-61
-
-
Isaza, P.J.1
Mejía, J.L.2
Stallbohm, V.3
-
12
-
-
0000262859
-
On the stability of solitary waves in weakly dispersive media
-
[KP]
-
[KP] B.B. KADOMTSEV, V.I. PETVIASHVILI, On the stability of solitary waves in weakly dispersive media, Soviet Phys. Dokl. 15 (1970), 539-541.
-
(1970)
Soviet Phys. Dokl.
, vol.15
, pp. 539-541
-
-
Kadomtsev, B.B.1
Petviashvili, V.I.2
-
13
-
-
84974004169
-
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
-
[KePV1]
-
[KePV1] C. KENIG, G. PONCE, L. VEGA, The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices, Duke Math. J. 71:1 (1993), 1-21.
-
(1993)
Duke Math. J.
, vol.71
, Issue.1
, pp. 1-21
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
14
-
-
0001969794
-
Oscillatory integrals and regularity of dispersive equations
-
[KePV2]
-
[KePV2] C. KENIG, G. PONCE, L. VEGA, Oscillatory integrals and regularity of dispersive equations, Indiana Univ. Math. J. 40 (1991), 33-69.
-
(1991)
Indiana Univ. Math. J.
, vol.40
, pp. 33-69
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
15
-
-
84990553608
-
Well-posedness and scattering results for generalized Korteweg-de Vries equation via the contraction principle
-
[KePVS]
-
[KePVS] C. KENIG, G. PONCE, L. VEGA, Well-posedness and scattering results for generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math. 46 (1993), 527-620.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 527-620
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
16
-
-
84974004169
-
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
-
[KePV4]
-
[KePV4] C. KENIG, G. PONCE, L. VEGA, The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices, Duke Math. J. 71:1 (1993), 1-21.
-
(1993)
Duke Math. J.
, vol.71
, Issue.1
, pp. 1-21
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
17
-
-
84894536209
-
Small solutions to nonlinear Schrödinger equations
-
[KePVS]
-
[KePVS] C. KENIG, G. PONCE, L. VEGA, Small solutions to nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 10 (1993), 255-288.
-
(1993)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.10
, pp. 255-288
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
18
-
-
0030528276
-
A bilinear estimate with applications to KdV equations
-
[KePV6]
-
[KePV6] C. KENIG, G. PONCE, L. VEGA, A bilinear estimate with applications to KdV equations, J. AMS 9 (1996), 573-603.
-
(1996)
J. AMS
, vol.9
, pp. 573-603
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
19
-
-
0036435316
-
The global Cauchy problem in Bourgain's type spaces for a dispersive dissipative semilinear equation
-
[MR1]
-
[MR1] L. MOLINET, F. RIBAUD, The global Cauchy problem in Bourgain's type spaces for a dispersive dissipative semilinear equation, SIAM J. Math. Anal. 33:6 (2002), 1269-1296.
-
(2002)
SIAM J. Math. Anal.
, vol.33
, Issue.6
, pp. 1269-1296
-
-
Molinet, L.1
Ribaud, F.2
-
20
-
-
0036041152
-
On the low regularity of the Korteweg-de Vries-Burgers equation
-
[MR2]
-
[MR2] L. MOLINET, F. RIBAUD, On the low regularity of the Korteweg-de Vries-Burgers equation, Int. Math. Res. Not. 2002, no. 37, 1979-2005.
-
Int. Math. Res. Not.
, vol.2002
, Issue.37
, pp. 1979-2005
-
-
Molinet, L.1
Ribaud, F.2
-
21
-
-
0036872348
-
Well-posedness and ill- Posedness results for the Kadomtsev-Petviashvili-I equation
-
[MST1]
-
[MST1] L. MOLINET, J.-C. SAUT, N. TZVETKOV, Well-posedness and ill- posedness results for the Kadomtsev-Petviashvili-I equation, Duke. Math. J. 115:2 (2002), 353-384.
-
(2002)
Duke. Math. J.
, vol.115
, Issue.2
, pp. 353-384
-
-
Molinet, L.1
Saut, J.-C.2
Tzvetkov, N.3
-
22
-
-
0035981378
-
Global well-posedness for the KP-I equation
-
[MST2]
-
[MST2] L. MOLINET, J.-C. SAUT, N. TZVETKOV, Global well-posedness for the KP-I equation, Math. Ann. 324:2 (2002), 255-275.
-
(2002)
Math. Ann.
, vol.324
, Issue.2
, pp. 255-275
-
-
Molinet, L.1
Saut, J.-C.2
Tzvetkov, N.3
-
23
-
-
0001349105
-
Remarks on generalized Kadomtsev-Petviashvili equations
-
[S]
-
[S] J.-C. SAUT, Remarks on generalized Kadomtsev-Petviashvili equations, Indiana Math. J. 42:3, (1993), 1011-1026.
-
(1993)
Indiana Math. J.
, vol.42
, Issue.3
, pp. 1011-1026
-
-
Saut, J.-C.1
-
24
-
-
0033586165
-
The Cauchy problem for higher-order KP equations
-
[ST]
-
[ST] J.-C. SAUT, N. TZVETKOV, The Cauchy problem for higher-order KP equations, J. Differential Equations 153:1 (1999), 196-222.
-
(1999)
J. Differential Equations
, vol.153
, Issue.1
, pp. 196-222
-
-
Saut, J.-C.1
Tzvetkov, N.2
-
25
-
-
38249034207
-
Periodic solutions of Kadomtsev-Petviashvili equations
-
[Sc]
-
[Sc] M. SCHWARZ, Periodic solutions of Kadomtsev-Petviashvili equations, Adv. Math. 66 (1987), 217-233.
-
(1987)
Adv. Math.
, vol.66
, pp. 217-233
-
-
Schwarz, M.1
-
26
-
-
0141856292
-
Time local well-posedness for the Kadomtsev-Petviashvili II equation
-
[T]
-
[T] H. TAKAOKA, Time local well-posedness for the Kadomtsev-Petviashvili II equation, Harmonic Analysis and Nonlinear PDE 1102 (1999), 1-8.
-
(1999)
Harmonic Analysis and Nonlinear PDE
, vol.1102
, pp. 1-8
-
-
Takaoka, H.1
-
27
-
-
0002346079
-
On the local regularity of Kadomtsev- Petviashvili II equation
-
[TT]
-
[TT] H. TAKAOKA, N. TZVETKOV, On the local regularity of Kadomtsev- Petviashvili II equation, Internat. Math. Res. Notices 2 (2001), 77-114.
-
(2001)
Internat. Math. Res. Notices
, vol.2
, pp. 77-114
-
-
Takaoka, H.1
Tzvetkov, N.2
-
28
-
-
0000595598
-
On the generalized Kadomtsev-Petviashvili equation
-
[To]
-
[To] M.M. TOM, On the generalized Kadomtsev-Petviashvili equation, Contemp. Math. AMS 200 (1996), 193-210.
-
(1996)
Contemp. Math. AMS
, vol.200
, pp. 193-210
-
-
Tom, M.M.1
-
29
-
-
0001300143
-
Local solutions of the Kadomtsev-Petviashvili equation
-
[U]
-
[U] S. UKAI, Local solutions of the Kadomtsev-Petviashvili equation, J. Fac. Sci. Univ. Tokyo Sect. 1A Math. 36 (1989), 193-209.
-
(1989)
J. Fac. Sci. Univ. Tokyo Sect. 1A Math.
, vol.36
, pp. 193-209
-
-
Ukai, S.1
-
30
-
-
0001667050
-
Inverse scattering transform for the time dependent Schrödinger equations with application to the KP-I equations
-
[Z]
-
[Z] X. ZHOU, Inverse scattering transform for the time dependent Schrödinger equations with application to the KP-I equations, Comm. Math. Phys. 128 (1990), 551-564.
-
(1990)
Comm. Math. Phys.
, vol.128
, pp. 551-564
-
-
Zhou, X.1
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