Global Well-posedness for the Logarithmically Energy-Supercritical Nonlinear Wave Equation with Partial Symmetry

DOI10.1093/IMRN/RNZ019zbMath1473.35362arXiv1807.06585OpenAlexW2951633391WikidataQ128377128 ScholiaQ128377128MaRDI QIDQ3382632

Aynur Bulut, Benjamin Dodson

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06585

zbMATH Keywords

partial symmetry of initial dataweighted Morawetz and Strichartz estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Symmetries, invariants, etc. in context of PDEs (35B06) Second-order semilinear hyperbolic equations (35L71)

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Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds ⋮ Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions ⋮ Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation

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