Scattering theory for the radial \(\dot{H}^{\frac{1}{2}}\)-critical wave equation with a cubic convolution

DOI10.1016/j.jde.2015.08.020zbMath1327.35283arXiv1509.09126OpenAlexW2236252707MaRDI QIDQ499532

Chang Xing Miao, Jun Yong Zhang, Ji Qiang Zheng

Publication date: 30 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09126

zbMATH Keywords

global solutionscattering theoryStrichartz estimateconcentration compactnessbootstrap argumentDuhamel formulaDuhamel trickradial almost periodic solutionwave-Hartree equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Second-order semilinear hyperbolic equations (35L71)

Related Items (6)

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 ⋮ Solvability of singular integro-differential equations via Riemann-Hilbert problem ⋮ Non-normal type singular integral-differential equations by Riemann-Hilbert approach ⋮ The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem ⋮ Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann-Hilbert method

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