Random data final-state problem of fourth-order inhomogeneous NLS

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

Unnamed Item
Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation
Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions $d\geqslant 9$
An inhomogeneous, $L^2$-critical, nonlinear Schrödinger equation
On the Cauchy problem of fourth-order nonlinear Schrödinger equations
Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
Random data Cauchy theory for supercritical wave equations I: Local theory
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves
Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
Global smoothing properties of generalized Schrödinger equations
Decay and regularity for the Schrödinger equation
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation
Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation
Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces
Scattering for radial defocusing inhomogeneous bi-harmonic Schrödinger equations
Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS
Scattering for the non-radial inhomogenous biharmonic NLS equation
Some remarks on the inhomogeneous biharmonic NLS equation
Scattering for the non-radial inhomogeneous NLS
On the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results
On well posedness for the inhomogeneous nonlinear Schrödinger equation
Global well-posedness of the Cauchy problem for nonlinear Schrödinger-type equations
On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case
Asymptotically-Free Solutions for the Short-Range Nonlinear Schrödinger Equation
Scattering theory for the defocusing fourth-order Schrödinger equation
FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS
Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ³
Self-Focusing with Fourth-Order Dispersion
On the Weighted Estimate of the Solution Associated with the Schrodinger Equation
Global strichartz estimates for nonthapping perturbations of the laplacian
Random data final-state problem for the mass-subcritical NLS in $L^2$
SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
Dispersion estimates for fourth order Schrödinger equations
Random Data Wave Equations
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
Maximal functions associated to filtrations
Regularity of solutions to the free Schrödinger equation with radial initial data

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