Blow-up solutions to the nonlinear Schrödinger equation with oscillating nonlinearities

DOI10.1016/J.JMAA.2008.07.079zbMath1162.35069OpenAlexW1989874244MaRDI QIDQ1012190

Ibtissem Damergi, Olivier Goubet

Publication date: 14 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.079

zbMATH Keywords

Schrödinger equationsoscillationsfinite time blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Blow-up of solutions of nonlinear Schrödinger equations with oscillating nonlinearities ⋮ Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions ⋮ On the supercritical KdV equation with time-oscillating nonlinearity ⋮ Blow-up profile to solutions of NLS with oscillating nonlinearities ⋮ Optimal nonlinearity control of Schrödinger equation ⋮ On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain ⋮ Stabilizing blow up solutions to nonlinear Schrödinger equations ⋮ The generalized Korteweg-de Vries equation with time oscillating nonlinearity in scale critical Sobolev space ⋮ Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: the radial case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Remarks on nonlinear Schrödinger equations with harmonic potential
• Numerical studies of stabilized Townes solitons
• Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Infinitely many radial solutions of a variational problem related to dispersion-managed optical fibers
• Stabilizing effects of dispersion management

This page was built for publication: Blow-up solutions to the nonlinear Schrödinger equation with oscillating nonlinearities