Small data global well‐posedness for the nonlinear wave equation with nonlocal nonlinearity

DOI10.1002/mma.2574zbMath1259.35128OpenAlexW1998482394MaRDI QIDQ4907176

Xing Cheng, Yanfang Gao

Publication date: 31 January 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2574

zbMATH Keywords

weighted Strichartz estimateHartree equationangular regularity

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Initial boundary value problem for a class of wave equations of Hartree type ⋮ Global Cauchy problems for the Klein-Gordon, wave and fractional Schr\"odinger equations with Hartree nonlinearity on modulation spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum theory of interacting bosons
• On small data scattering with cubic convolution nonlinearity
• Global well-posedness and scattering for the mass-critical Hartree equation with radial data
• On a wave equation with a cubic convolution
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Modified wave operators for the Hartree equation with data, image and convergence in the same space. II
• Global well-posedness of critical nonlinear Schrödinger equations below \(L^2\)
• Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
• Weighted Strichartz estimates with angular regularity and their applications
• Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ¹⁺ⁿ
• A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions
• Maximal functions associated to filtrations

This page was built for publication: Small data global well‐posedness for the nonlinear wave equation with nonlocal nonlinearity