Sharp estimates for a class of hyperbolic pseudo-differential equations

DOI10.1007/BF03322778zbMath1039.35152OpenAlexW2042033618MaRDI QIDQ1411551

Michael Ruzhansky

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322778

zbMATH Keywords

sharp estimateshyperbolic pseudodifferential equations

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Removable singularities in several complex variables (32D20) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• \(L^p\) estimates for the waves equation
• Regularity properties of Fourier integral operators
• On some \(L^ p\)-estimates for hyperbolic equations
• Estimates for hyperbolic equations of space dimension 3
• Analytic Fourier integral operators. Monge-Ampère equation and holomorphic factorization
• On the sharpness of Seeger-Sogge-Stein orders
• A priori estimates for higher order hyperbolic equations
• Estimates for hyperbolic equations with non-convex characteristics
• On the failure of the factorization condition for non-degenerate Fourier integral operators
• Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
• Singularities of affine fibrations in the regularity theory of Fourier integral operators
• 𝐿^{𝑝} boundedness of certain convolution operators
• Fourier integral operators
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