On local existence for nonlinear wave equations satisfying variable coefficient null conditions

DOI10.1080/03605309308820994zbMath0792.35125OpenAlexW2029279441MaRDI QIDQ4275302

Christopher D. Sogge

Publication date: 7 August 1994

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

Full work available at URL: https://doi.org/10.1080/03605309308820994

zbMATH Keywords

space-time estimatesquasilinear wave equationslocal existence theoremFourier integral operator techniques

Mathematics Subject Classification ID

Related Items (4)

Local existence of energy class solutions for the dirac—klein—gordon equations ⋮ Wave maps on \((1+2)\)-dimensional curved spacetimes ⋮ Null form estimates for ( 1/2,1/2 ) symbols and local existence for a quasilinear Dirichlet-wave equation ⋮ Global existence for a quasilinear wave equation outside of star-shaped domains

Cites Work

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• Propagation of singularities and maximal functions in the plane
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• Global solutions of nonlinear hyperbolic equations for small initial data
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• Low regularity local solutions for field equations

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