Global Well-Posedness for Higher-Order Schrödinger Equations in WeightedL2Spaces
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Publication:3467552
DOI10.1080/03605302.2015.1048551zbMath1336.35361arXiv1403.2915OpenAlexW2036479528MaRDI QIDQ3467552
Publication date: 3 February 2016
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.2915
A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Related Items (4)
Strichartz estimates for Schrödinger equations in weighted \(L^2\) spaces and their applications ⋮ On Morawetz estimates with time-dependent weights for the Klein-Gordon equation ⋮ Strichartz and smoothing estimates in weighted L^2 spaces and their applications ⋮ Global solution for a sixth-order nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear fourth-order Schrödinger equations with radial data
- Global unique continuation from a half space for the Schrödinger equation
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- A note on unique continuation for the Schrödinger equation
- Improved inhomogeneous Strichartz estimates for the Schrödinger equation
- On inhomogeneous Strichartz estimates for the Schrödinger equation
- Strichatz inequalities with weights in Morrey-Campanato classes
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Some new Strichartz estimates for the Schrödinger equation
- The cubic fourth-order Schrödinger equation
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Local regularity of solutions to wave equations with time-dependent potentials
- Unique continuation for the Schroedinger equation with potentials in Wiener amalgam spaces
- Inhomogeneous Strichartz estimates for the Schrödinger equation
- Classical Fourier Analysis
- Local smoothing for Kato potentials in three dimensions
- Endpoint Strichartz estimates
- INHOMOGENEOUS STRICHARTZ ESTIMATES
- Strichartz estimates in Wiener amalgam spaces for the Schrödinger equation
- Fourier transforms of surface-carried measures and differentiability of surface averages
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