Well-posedness for the Zakharov system with the periodic boundary condition

zbMath1022.35069MaRDI QIDQ1854098

Hideo Takaoka

Publication date: 26 January 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

well-posednessperiodic boundary conditionsZakharov system

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (14)

The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus ⋮ Local well-posedness for the Zakharov system on the multidimensional torus ⋮ On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system ⋮ Local well-posedness for the Zakharov system on the background of a line soliton ⋮ MULTILINEAR WEIGHTED ESTIMATES AND QUANTUM ZAKHAROV SYSTEM ⋮ Asymptotic preserving trigonometric integrators for the quantum Zakharov system ⋮ Global dynamics below the ground state energy for the Zakharov system in the 3D radial case ⋮ Generalized Strichartz estimates and scattering for 3D Zakharov system ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ Well-posedness for a class of generalized Zakharov system ⋮ Unnamed Item ⋮ A note on global existence for the Zakharov system on \( \mathbb{T} \) ⋮ Cauchy problem of Schrödinger-improved Boussinesq systems on the torus ⋮ Local well-posedness for the quantum Zakharov system in three and higher dimensions

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