The Defocusing Energy-critical wave Equation with a Cubic Convolution
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Publication:2931106
DOI10.1512/IUMJ.2014.63.5271zbMath1308.35144arXiv1209.3096OpenAlexW2054024962MaRDI QIDQ2931106
Ji Qiang Zheng, Chang Xing Miao, Jun Yong Zhang
Publication date: 24 November 2014
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.3096
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Quantum scattering theory (81U99) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
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On blow-up phenomenon of the solution to some wave-Hartree equation in \(d \geq 5\) ⋮ Strong ill-posedness for fractional Hartree and cubic NLS equations ⋮ Initial boundary value problem for a class of wave equations of Hartree type ⋮ Scattering theory for the radial \(\dot{H}^{\frac{1}{2}}\)-critical wave equation with a cubic convolution ⋮ Scattering theory for the defocusing energy-supercritical nonlinear wave equation with a convolution
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