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(4)
Harmonic Analysis
kdv equation
korteweg de vries equation
Nonlinear Dispersive Equations
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Sharp global wellposedness for KdV and modified KdV on R and T
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Multilinear estimates for periodic KdV equations, and applications
Multilinear estimates for periodic KdV equations, and applications,10.1016/S00221236(03)002180,Jim Colliander,Markus Keel,Gigliola Staffilani,Hideo
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Multilinear estimates for periodic KdV equations, and applications
(
Citations: 49
)
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Jim Colliander
,
Markus Keel
,
Gigliola Staffilani
,
Hideo Takaoka
,
Terence Tao
Published in 2004.
DOI:
10.1016/S00221236(03)002180
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Citation Context
(23)
...Next, we use Lemma 3.4 of [11] and [
7
] to get...
...We also use Lemma 3.5 of [11] and [
7
] to get...
Daoyuan Fang
,
et al.
$L^2$concentration phenomenon for Zakharov system below energy norm I...
...As the Lemma 12.1 in [
8
], we have an interpolation lemma...
Takafumi Akahori
,
et al.
Multilinear Eigenfunction Estimates for the Harmonic Oscillator and th...
...For a Banach space X, we denote by k � k X the norm in X. We will use the same notations as in [7] and [
8
] to deal with Fourier transform of space periodic functions with a large period λ. (dξ)� will be the renormalized counting measure on λ−1Z :...
...As written in [
8
], (dξ)� is the counting measure on the integers when λ = 1 and converges weakly to the Lebesgue measure when λ → ∞. In all the text, all the Lebesgue norms in ξ will be with respect to the measure (dξ)�...
Luc Molinet
.
Global wellposedness in L 2 for the periodic BenjaminOno equation
...Proof. We use the approach from [
7
], Lemma 3.1...
Axel Grünrock
,
et al.
Low Regularity Local WellPosedness of the Derivative Nonlinear Schröd...
...For a Banach space X, we denote by k � k X the norm in X. We will use the same notations as in [6] and [
7
] to deal with Fourier transform of space periodic functions with a large period λ. (dξ)� will be the renormalized counting measure on λ −1 Z :...
...As written in [
7
], (dξ)� is the counting measure on the integers when λ = 1 and converges weakly to the Lebesgue measure when λ → ∞. In all the text, all the Lebesgue norms in ξ will be with respect to the measure (dξ)�...
...Now in the region {h σi ≥ 10h σ1i , h σi ≥ 10h σ2i , ξ1 > 1 }, we proceed as i
n
[7]...
Luc Molinet
.
Global wellposedness in the energy space for the Benjamin–Ono equatio...
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Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I
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Almost conservation laws and global rough solutions to a Nonlinear Schr\"odinger equation
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,
T. Tao
Published in 2002.
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Citations
(49)
Sectional image reconstruction and threedimensional microscopy of small particles by angular spectrum method
Naseem Akhter
,
HyunChul Jung
,
ChangDoo Kee
,
KyeongSuk Kim
,
ManYong Choi
Journal:
Optik
, vol. 122, no. 14, pp. 12931295, 2011
Simulation of Fiber to the Home at 10 Gbit/s using GEPON architecture
Rajneesh Kaler
,
R. S. Kaler
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Optik
, vol. 122, no. 15, pp. 13621366, 2011
The finitedimensional even and odd pair coherent state and its statistical properties
XiangGuo Meng
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JiSuo Wang
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BaoLong Liang
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Optik
, vol. 122, no. 22, pp. 20212025, 2011
Global rough solutions to the critical generalized KdV equation
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Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrodinger Equations on $S^1$
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Vedran Sohinger
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