A Schrödinger equation with time-oscillating nonlinearity
From MaRDI portal
Publication:1958664
DOI10.1007/s13163-009-0018-7zbMath1200.35285OpenAlexW2030053555MaRDI QIDQ1958664
Thierry Cazenave, Marcia Scialom
Publication date: 4 October 2010
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-009-0018-7
Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
On the management fourth-order Schrödinger-Hartree equation ⋮ Averaging of nonlinear Schrödinger equations with time-oscillatory coefficients ⋮ Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions ⋮ Approximations with deep neural networks in Sobolev time-space ⋮ Averaging of the nonlinear Schrödinger equation with highly oscillatory magnetic potentials ⋮ On the supercritical KdV equation with time-oscillating nonlinearity ⋮ Unnamed Item ⋮ The electrostatic limit for the 3D Zakharov system ⋮ Stability of the Hartree equation with time-dependent coefficients ⋮ Asymptotics for a class of oscillating fourth-order nonlinear Schrödinger equations ⋮ Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials ⋮ Optimal bilinear control of the logarithmic Schrödinger equation ⋮ A random Schrödinger equation with time-oscillating nonlinearity and linear dissipation/gain ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management ⋮ Optimal nonlinearity control of Schrödinger equation ⋮ The property of the solution about Cauchy problem for fourth-order Schrödinger equation with critical time-oscillating nonlinearity ⋮ A time-oscillating Hartree-type Schrödinger equation ⋮ Optimal bilinear control of the coupled nonlinear Schrödinger system ⋮ On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging ⋮ On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain ⋮ A random dispersion Schrödinger equation with time-oscillating nonlinearity ⋮ A SYSTEM OF COUPLED SCHRÖDINGER EQUATIONS WITH TIME-OSCILLATING NONLINEARITY ⋮ Stabilizing blow up solutions to nonlinear Schrödinger equations ⋮ The generalized Korteweg-de Vries equation with time oscillating nonlinearity in scale critical Sobolev space ⋮ ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING ⋮ The limit behavior of solutions for the nonlinear Schrödinger equation including nonlinear loss/gain with variable coefficient ⋮ A Schrödinger equation with time-oscillating critical nonlinearity ⋮ Homogenization for the cubic nonlinear Schrödinger equation on R2 ⋮ Numerical Simulations of X-Ray Free Electron Lasers (XFEL) ⋮ On dispersion managed nonlinear Schrödinger equations with lumped amplification ⋮ On well-posedness of the third-order nonlinear Schrödinger equation with time-dependent coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- Remarks on proofs of conservation laws for nonlinear Schrödinger equations
- The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
- The global Cauchy problem for the nonlinear Schrödinger equation revisited
- Existence of solutions for Schrödinger evolution equations
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- On localized solutions of discrete nonlinear Schrödinger equation: an exact result
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Endpoint Strichartz estimates