Spacetime integral bounds for the energy-critical nonlinear wave equation

DOI10.1090/proc/16641arXiv2010.07771OpenAlexW3093201883MaRDI QIDQ6154353

Benjamin Dodson

Publication date: 15 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07771

zbMATH Keywords

scatteringnonlinear Schrödinger equationquintic nonlinear wave equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear small data scattering for the wave and Klein-Gordon equation
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Decay estimates for the critical semilinear wave equation
• The global Cauchy problem for the critical nonlinear wave equation
• Global and unique weak solutions of nonlinear wave equations
• Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space
• A new proof of scattering below the ground state for the non-radial focusing NLS
• Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
• Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrö\-dinger equation for radial data
• Regularity for the wave equation with a critical nonlinearity
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Scattering below the ground state for the 2$d$ radial nonlinear Schrödinger equation
• A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
• The global Cauchy problem for a relativistic scalar field with power interaction

This page was built for publication: Spacetime integral bounds for the energy-critical nonlinear wave equation