Initial boundary value problem for a class of wave equations of Hartree type (Q6089528)

scientific article; zbMATH DE number 7778746

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English	Initial boundary value problem for a class of wave equations of Hartree type	scientific article; zbMATH DE number 7778746

Statements

instance of

scholarly article

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title

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

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published in

Studies in Applied Mathematics

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publication date

15 December 2023

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zbMATH Keywords

blow-up

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global existence

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Hartree-type nonlinearity

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wave-Hartree equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1111/sapm.12521

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cites work

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Energy scattering for a Klein-Gordon equation with a cubic convolution

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

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Q4466478

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Q5428540

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Weighted estimates for a convolution appearing in the wave equation of Hartree type

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Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

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Scattering theory for the wave equation of a Hartree type in three space dimensions

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Q4824303

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Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity

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Instability of standing wave for the Klein-Gordon-Hartree equation

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Scattering theory for the defocusing energy-supercritical nonlinear wave equation with a convolution

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Stability of standing waves for the Klein–Gordon–Hartree equation

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

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ON THE WAVE EQUATION WITH A DISSIPATION AND A SOURCE OF CUBIC CONVOLUTION TYPE IN ℝN

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Q4523969

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Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

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The focusing energy-critical Hartree equation

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Global well-posedness and scattering for the defocusing \(H^{\frac 1 2}\)-subcritical Hartree equation in \(\mathbb R^d\)

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Global well-posedness and scattering for the mass-critical Hartree equation with radial data

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Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

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On the blow-up phenomenon for the mass-critical focusing Hartree equation in R4

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Global Well-Posedness and Scattering for the Energy-Critical, Defocusing Hartree Equation in ℝ1+n

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Sharp threshold of blow-up and scattering for the fractional Hartree equation

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Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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Existence of a solution of the wave equation with nonlinear damping and source terms

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Global existence and nonexistence for nonlinear wave equations with damping and source terms

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The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term

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Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation

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Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity

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Blow up threshold for a parabolic type equation involving space integral and variational structure

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Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation

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Identifiers

zbMATH Open document ID

1529.35306

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DOI

10.1111/sapm.12521

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6089528