Local well-posedness for the Zakharov system on the multidimensional torus
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Publication:351283
DOI10.1007/S11854-013-0007-0zbMath1310.35218arXiv1109.3527OpenAlexW2593372858MaRDI QIDQ351283
Publication date: 11 July 2013
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3527
NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Related Items (16)
On a splitting method for the Zakharov system ⋮ MULTILINEAR WEIGHTED ESTIMATES AND QUANTUM ZAKHAROV SYSTEM ⋮ Asymptotic preserving trigonometric integrators for the quantum Zakharov system ⋮ Comparison of numerical methods for the Zakharov system in the subsonic limit regime ⋮ Global dynamics below the ground state energy for the Zakharov system in the 3D radial case ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system ⋮ The Zakharov system in dimension \(d \geq 4\) ⋮ A Note on C^2 Ill-posedness Results for the Zakharov System in Arbitrary Dimension ⋮ Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices ⋮ Construction of blow-up solutions for Zakharov system on \(\mathbb T^2\) ⋮ The fourth-order nonlinear Schrödinger limit for quantum Zakharov system ⋮ Unnamed Item ⋮ Local well-posedness for the Zakharov system in dimension \(d = 2, 3\) ⋮ A note on global existence for the Zakharov system on \( \mathbb{T} \) ⋮ Cauchy problem of Schrödinger-improved Boussinesq systems on the torus
Cites Work
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- Local well-posedness for quadratic nonlinear Schrödinger equations and the ``good Boussinesq equation.
- Convolutions of singular measures and applications to the Zakharov system
- Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I
- Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II
- On the Cauchy and invariant measure problem for the periodic Zakharov system
- Periodic Korteweg-de Vries equation with measures as initial data
- On the Cauchy problem for the Zakharov system
- Well-posedness for the Zakharov system with the periodic boundary condition
- Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D
- Bilinear estimates and applications to 2d NLS
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- On the 2D Zakharov system withL2Schrödinger data
- Local and global results for wave maps I
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