# 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

... 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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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