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Haut PDF Strichartz estimates and the nonlinear Schrödinger-type equations

Haut PDF Strichartz estimates and the nonlinear Schrödinger-type equations ont été compilés par 123dok FR

Strichartz estimates and the nonlinear Schrödinger-type equations

Strichartz estimates and the nonlinear Schrödinger-type equations

... than the one studied in [BM16], we can not apply directly the low frequency Littlewood-Paley decomposition given in ...kernel estimates (see Subsection 4.2.1). As a result, we split the low ... Voir le document complet

214

On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold

On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact riemannian manifold

... Introduction The aim is this paper is twofold. The first one is to generalise Theorem 2 from Burq et all [12] on the global existence of nonlinear Schrödinger equation (NLS) to a ... Voir le document complet

39

Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for Nonlinear Schrödinger type Equations

Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for Nonlinear Schrödinger type Equations

... scale the (gKdV)/(gKP-I) approximation is ...to the (KdV)/(KP-I) limit, we may wonder what is known for the (gKdV)/(gKP-I) asymptotic limit for the travelling ...Concerning the one ... Voir le document complet

56

Sharp Strichartz estimates for water waves systems

Sharp Strichartz estimates for water waves systems

... On the one hand, in global dynamic, dispersive properties have been considered in establishing the existence of global (or almost global) solutions for small, localized, smooth data by the works of ... Voir le document complet

35

On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions

On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions

... 1 and m = 0, FNLSE reduces to the standard nonlinear Schr¨ odinger equation (NLSE, also known as ...Both the ground states and dynamics properties of NLSE have been extensively studied ... Voir le document complet

27

A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus.

A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus.

... control the largest index by the others. • we use ℓ 1 -type norms to control the Fourier coefficients and the vector fields instead of ℓ 2 -type norms as ...spaces ... Voir le document complet

21

Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations: the quadratic interaction case

Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations: the quadratic interaction case

... in the above theorem seems to be sharp; we refer for example to the survey article [Rob] on the subject of Kato’s smoothing ...effect. The Cauchy problem (1) has been extensively studied in ... Voir le document complet

47

Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schrödinger equations

Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schrödinger equations

... (17) The Dirac delta function is omitted here, so ( 17 ) rep- resents the spectrum of the variable part of the solu- ...In the homogeneous case, the spectrum starts with narrow ... Voir le document complet

8

Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics

Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics

... dispersive estimates still hold without loss for e it∆ in various situations where the trapped set is hyperbolic and of sufficiently small fractal ...dimension. The influence of the ... Voir le document complet

24

DISPERSION FOR THE WAVE AND SCHRÖDINGER EQUATIONS OUTSIDE A BALL AND COUNTEREXAMPLES

DISPERSION FOR THE WAVE AND SCHRÖDINGER EQUATIONS OUTSIDE A BALL AND COUNTEREXAMPLES

... since the mid-90’s, the question about whether or not dispersion did hold remained completely open, even for the exterior of a ...time) Strichartz estimates were proved to hold as in R ... Voir le document complet

45

Periodic modulations controlling Kuznetsov-Ma soliton formation in nonlinear Schrödinger equations

Periodic modulations controlling Kuznetsov-Ma soliton formation in nonlinear Schrödinger equations

... between the two frequencies and the Kuznetsov-Ma soliton’s intensity is a periodic ...In the case where the ratio of the above two frequencies are irrational, quasiperiodic ... Voir le document complet

9

Rational normal forms and stability of small solutions to nonlinear Schrödinger equations

Rational normal forms and stability of small solutions to nonlinear Schrödinger equations

... frequencies and to avoid the problem of resonances. Roughly speaking the nonlinear term generates ...used the same idea to prove that for many random small initial data the ... Voir le document complet

54

Maximum Decay Rate for the Nonlinear Schrödinger Equation

Maximum Decay Rate for the Nonlinear Schrödinger Equation

... show the results of Section 2 , if we suppose a suitable asymptotic behavior of the initial value (u(0) ∈ X if α 6 N 4 , u(0) ∈ H 1 (R N ) if α > 4 N ), then we have a sharp lower ...under the ... Voir le document complet

18

Stability of periodic waves of 1D cubic nonlinear Schrödinger equations

Stability of periodic waves of 1D cubic nonlinear Schrödinger equations

... ] type methods, orbital stability against energy (H 1 loc )-norm perturbations of the same period is known for dnoidal waves [ 2 ], and for snoidal waves [ 13 ] under the additional constraint ... Voir le document complet

43

Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations

Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations

... follows the same ideas as that of [KePoVe] or [Bie]. Of course, the general plan is unoriginal : linearization of the non linear equation, then, establishing energy estimates for solutions of ... Voir le document complet

46

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations

... Altogether, the stated result ...of the exact and time-discrete solutions, an estimate for the local truncation error is obtained by means of Proposi- tion ...to the basic requirement σ ... Voir le document complet

24

Geometric Optics and Boundary Layers for Nonlinear Schrödinger Equations

Geometric Optics and Boundary Layers for Nonlinear Schrödinger Equations

... on the statement of Theorem ...in the case of non necessarily homogeneous nonlinearities satisfying ...compressible type Euler equation, the case of a homogeneous nonlinearity was studied in ... Voir le document complet

44

The KdV/KP-I Limit of the Nonlinear Schrödinger Equation

The KdV/KP-I Limit of the Nonlinear Schrödinger Equation

... The KdV/KP-I limit of the Nonlinear Schr¨odinger equation ...rigorously the convergence of the amplitude of solutions of Nonlinear-Schr¨odinger type Equations with ... Voir le document complet

35

Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications

Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications

... Sharp Strichartz estimates without loss of derivatives were also derived, so that local well- posedness can be deduced for various nonlinear ...problems. The Cauchy theory has been recently ... Voir le document complet

43

Local in Time Strichartz Estimates for the Dirac Equation on Spherically Symmetric Spaces

Local in Time Strichartz Estimates for the Dirac Equation on Spherically Symmetric Spaces

... produce the same type of theorems, provided β induces a Littlewood-Paley ...1.7. Estimates involving angular regularity have been already widely inves- tigated and exploited in the ... Voir le document complet

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