On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation
From MaRDI portal
Publication:1711858
DOI10.3934/eect.2018013zbMath1405.35195arXiv1703.01074OpenAlexW2731494827MaRDI QIDQ1711858
Kazumasa Fujiwara, Tohru Ozawa
Publication date: 18 January 2019
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.01074
finite time blowuplifespan estimateODE approachperiodic DNLSpower type nonlinearity without gauge invariance
Cites Work
- Unnamed Item
- Well-posedness for a generalized derivative nonlinear Schrödinger equation
- Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation
- Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
- A priori estimates and weak solutions for the derivative nonlinear Schrödinger equation on torus below \(H^{1/2}\)
- The lifespan of solutions to nonlinear Schrödinger and Klein-Gordon equations
- On the derivative nonlinear Schrödinger equation
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
- Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance
- Blow-up solutions for mixed nonlinear Schrödinger equations
- Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)
- Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation
- Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
- Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
- Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance
- Gibbs measure for the periodic derivative nonlinear Schrödinger equation
- Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
- Global Well-Posedness of the Derivative Nonlinear Schroedinger Equations on T
- The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
- Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
- Life-span of smooth solutions to the complex Ginzburg–Landau type equation on a torus
- A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
- Local Existence Theory for Derivative Nonlinear Schrödinger Equations with Noninteger Power Nonlinearities
- On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition
This page was built for publication: On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation
