Analytic smoothing effect for global solutions to a quadratic system of nonlinear Schrödinger equations

DOI10.1007/s00030-017-0486-2zbMath1383.35211OpenAlexW2765903870MaRDI QIDQ1693400

Gaku Hoshino

Publication date: 31 January 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-017-0486-2

zbMATH Keywords

global solutionanalytic smoothing effectnonlinear Schrödinger equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six ⋮ Space-time analytic smoothing effect for global solutions to a system of nonlinear Schrödinger equations with large data ⋮ Global well-posedness and analytic smoothing effect for the dissipative nonlinear Schrödinger equations

Cites Work

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• On a system of nonlinear Schrödinger equations in 2D.
• Analytic solutions to nonelliptic nonlinear Schrödinger equations
• Analytic finite energy solutions of the nonlinear Schrödinger equation
• Remarks on proofs of conservation laws for nonlinear Schrödinger equations
• Analytic smoothing effect for global solutions to nonlinear Schrödinger equations
• Small analytic solutions to the Hartree equation
• Analyticity and global existence of small solutions to some nonlinear Schrödinger equations
• Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
• Nonlinear evolution equations and analyticity. I
• Existence of solutions for Schrödinger evolution equations
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Nonlinear Schrödinger equations in the Sobolev space of critical order
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Small data blow-up for a system of nonlinear Schrödinger equations
• Analyticity and smoothing effect for the Korteweg de Vries equation with a single point singularity
• Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity
• Analytic smoothing effect for a system of Schrödinger equations with two wave interaction
• On a system of nonlinear Schrödinger equations with quadratic interaction
• Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance
• Analytic smoothing effect for a system of nonlinear Schrödinger equations
• Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d
• Small data scattering for a system of nonlinear Schrödinger equations
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Endpoint Strichartz estimates
• NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO

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