Local regularity of nonlinear wave equations in three space dimensions

DOI10.1080/03605309308820925zbMath0803.35096OpenAlexW2046707108MaRDI QIDQ4203492

Gustavo Ponce, Thomas C. Sideris

Publication date: 5 September 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820925

zbMATH Keywords

local solutionslocal regularitythree-dimensional nonlinear wave equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

• Formation of singularities in solutions to nonlinear hyperbolic equations
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Global behavior of solutions to nonlinear wave equations in three dimensions
• Commutator estimates and the euler and navier-stokes equations
• Blow-up for quasi-linear wave equations in three space dimensions