Scattering for defocusing energy subcritical nonlinear wave equations

DOI10.2140/apde.2020.13.1995zbMath1459.35290arXiv1810.03182OpenAlexW3098092279MaRDI QIDQ2657021

Benjamin Dodson, Dana Mendelson, Jason Murphy, Andrew Lawrie

Publication date: 17 March 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03182

zbMATH Keywords

nonlinear wavesscatteringdefocusing power-type nonlinear wave equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

Bounded solutions to an energy subcritical non-linear wave equation on \(\mathbb{R}^3\) ⋮ Long time behaviour of finite-energy radial solutions to energy subcritical wave equation in higher dimensions ⋮ Energy distribution of solutions to defocusing semi-linear wave equation in two dimensional space ⋮ Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions ⋮ Global well-posedness for the radial, defocusing, nonlinear wave equation for 3 < p < 5 ⋮ Inward/outward energy theory of non-radial solutions to 3D semi-linear wave equation ⋮ Energy distribution of radial solutions to energy subcritical wave equation with an application on scattering theory

Cites Work

• Unnamed Item
• Unnamed Item
• A refinement of the Strichartz inequality for the wave equation with applications
• Stable self-similar blow up for energy subcritical wave equations
• Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation
• Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\)
• Invariant manifolds and dispersive Hamiltonian evolution equations
• Radial solutions to energy supercritical wave equations in odd dimensions
• Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
• Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on \(\mathbb R^3\)
• Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
• Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
• The cubic nonlinear Schrödinger equation in two dimensions with radial data
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Decay estimates for the critical semilinear wave equation
• Regularity results for nonlinear wave equations
• On global solutions to a defocusing semi-linear wave equation.
• Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
• Stable blowup for wave equations in odd space dimensions
• Determination of the blow-up rate for a critical semilinear wave equation
• Nonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equation
• On existence and scattering with minimal regularity for semilinear wave equations
• Scattering for the radial 3D cubic wave equation
• Blowup behaviour for the nonlinear Klein-Gordon equation
• Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
• A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations
• On the energy subcritical, nonlinear wave equation in \(\mathbb{R}^3\) with radial data
• Decay and asymptotics for \(\square u = F(u)\)
• Solutions of the focusing nonradial critical wave equation with the compactness property
• Scattering for Radial, Bounded Solutions of Focusing Supercritical Wave Equations
• Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$
• The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
• Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications
• Self-similar solutions of the cubic wave equation
• On global well-posedness for defocusing cubic wave equation
• Minimal-mass blowup solutions of the mass-critical NLS
• Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions
• The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
• Energy-Supercritical NLS: Critical[Hdot^s-Bounds Imply Scattering]
• Endpoint Strichartz estimates
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Determination of the blow-up rate for the semilinear wave equation
• Global well-posedness for semi-linear wave equations
• Scattering for radial energy-subcritical wave equations in dimensions 4 and 5
• Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data
• Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$
• The defocusing energy-supercritical nonlinear wave equation in three space dimensions
• Characterization of large energy solutions of the equivariant wave map problem: I
• The defocusing cubic nonlinear wave equation in the energy-supercritical regime

This page was built for publication: Scattering for defocusing energy subcritical nonlinear wave equations