Sobolev Estimates for the Wave Operator on compact Manifolds

DOI10.1080/03605309208820906zbMath0799.35157OpenAlexW2032926537MaRDI QIDQ4033774

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Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1080/03605309208820906

zbMATH Keywords

nonlinear wave equationregularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic equations on manifolds (58J45)

Related Items (1)

Symmetric periodic solutions of semi-linear wave equations ons³

Cites Work

• Unnamed Item
• The wave operator on \(S^ n:\) Estimates and applications
• Oscillatory integrals and spherical harmonics
• Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
• The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• A priori estimates for the wave equation and some applications
• Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
• The existence of periodic solutions of nonlinear wave equations on Sⁿ
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates

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