Scattering for a critical nonlinear wave equation in two space dimensions

DOI10.1007/S00208-015-1282-0zbMath1357.35228OpenAlexW1256116863MaRDI QIDQ303581

Martin Sack, Michael Struwe

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-015-1282-0

zbMATH Keywords

compactly supported initial datacritical exponential nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

On \(3 + 1\) Lorentzian Einstein manifolds with one rotational isometry ⋮ Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited ⋮ Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity

Cites Work

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• The critical nonlinear wave equation in two space dimensions
• Scattering for the two-dimensional energy-critical wave equation
• Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Well- and ill-posedness issues for energy supercritical waves
• Scattering for a massless critical nonlinear wave equation in two space dimensions
• Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity

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