Scattering theory for the fourth-order Schrödinger equation in low dimensions

From MaRDI portal
Publication:2845633

DOI10.1088/0951-7715/26/8/2175zbMath1319.35240OpenAlexW2080180195MaRDI QIDQ2845633

Suxia Xia, Benoit Pausader

Publication date: 2 September 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/26/8/2175




Related Items (36)

On the decay property of the cubic fourth-order Schrödinger equationAsymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersionNon-homogeneous Gagliardo-Nirenberg inequalities in \(\mathbb{R}^N\) and application to a biharmonic non-linear Schrödinger equationGlobal well-posedness for nonlinear fourth-order Schrödinger equationsAsymptotics for the fourth-order nonlinear Schrödinger equation in 2DThe Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing WaveOn the inhomogeneous fourth-order nonlinear Schrödinger equationRandom data theory for the cubic fourth-order nonlinear Schrödinger equationMulti solitary waves for a fourth order nonlinear Schrödinger type equationHigher-order nonlinear Schrödinger equation in 2D caseDecay in energy space for the solution of fourth-order Hartree-Fock equations with general non-local interactionsFactorization technique for the fourth-order nonlinear Schrödinger equationSharp well-posedness of the Cauchy problem for the fourth order nonlinear Schrödinger equationThe radial bi-harmonic generalized Hartree equation revisitedNormalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficientGlobal Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide ManifoldsOn the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability resultsLarge time asymptotics for the fourth-order nonlinear Schrödinger equationLarge time asymptotic behavior of solutions to higher order nonlinear Schrödinger equationDynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equationsScattering operator for the fourth order nonlinear Schrödinger equationScattering theory for the defocusing fourth order NLS with potentialsDecay of solutions to a fourth-order nonlinear Schrödinger equationStrong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersionsGlobal existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical caseDispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructionsOrbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger EquationAsymptotics for the fourth-order nonlinear Schrödinger equation in the critical caseNormalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regimeOn a fourth‐order nonlinear Helmholtz equationNodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersionThe initial-boundary value problem for the biharmonic Schrödinger equation on the half-line\(H^2\)-scattering for systems of weakly coupled Fourth-order NLS equations in low space DimensionsDissipative property for higher order nonlinear Schrödinger equationProbabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equationLocal well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces




This page was built for publication: Scattering theory for the fourth-order Schrödinger equation in low dimensions