On blow-up phenomenon of the solution to some wave-Hartree equation in \(d \geq 5\)

DOI10.1007/S10473-020-0313-4zbMath1499.35423OpenAlexW3027678549MaRDI QIDQ2153380

Suxia Xia

Publication date: 4 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0313-4

zbMATH Keywords

Cauchy problemblow upStrichartz estimatewave-Hartree equation

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Initial boundary value problem for a class of wave equations of Hartree type

Cites Work

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• On the blow-up solutions for the nonlinear fractional Schrödinger equation
• Dynamics for the focusing, energy-critical nonlinear Hartree equation
• Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
• Global well-posedness and scattering for the defocusing \(H^{\frac 1 2}\)-subcritical Hartree equation in \(\mathbb R^d\)
• 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
• Saddle points and instability of nonlinear hyperbolic equations
• Energy scattering for Hartree equations
• On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
• Sharp threshold of blow-up and scattering for the fractional Hartree equation
• On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
• Scattering threshold for the focusing nonlinear Klein-Gordon equation
• The focusing energy-critical Hartree equation
• Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
• The Defocusing Energy-critical wave Equation with a Cubic Convolution
• Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ¹⁺ⁿ
• Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation
• Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
• Endpoint Strichartz estimates
• On the blow-up phenomenon for the mass-critical focusing Hartree equation in R⁴
• Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations

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