Generalized Strichartz estimates and scattering for 3D Zakharov system
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Publication:398741
DOI10.1007/s00220-014-2006-0zbMath1302.35336arXiv1305.2990OpenAlexW3102355033MaRDI QIDQ398741
Sanghyuk Lee, Zihua Guo, Kenji Nakanishi, Chuanfang Wang
Publication date: 15 August 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.2990
KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (16)
Randomized final-state problem for the Zakharov system in dimension three ⋮ Schrödinger-improved Boussinesq system in two space dimensions ⋮ Endpoint Strichartz estimates with angular integrability and some applications ⋮ Scattering for the quadratic Klein-Gordon equations ⋮ The Zakharov system in dimension \(d \geq 4\) ⋮ Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data ⋮ Profile decompositions of fractional Schrödinger equations with angularly regular data ⋮ Zakharov system in two space dimensions ⋮ Scattering for the 3D Gross-Pitaevskii equation ⋮ Generalized inhomogeneous Strichartz estimates ⋮ On the boundary Strichartz estimates for wave and Schrödinger equations ⋮ A Sobolev estimate for the adjoint restriction operator ⋮ A note on the scattering for 3D quantum Zakharov system with non-radial data in \(L^2\) ⋮ Local well-posedness for the Zakharov system in dimension \(d = 2, 3\) ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ Global well-posedness and scattering for the Zakharov system at the critical space in three spatial dimensions with small and radial initial data
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