Estimates for hyperbolic equations of space dimension 3

DOI10.1006/jfan.1998.3296zbMath0917.35064OpenAlexW2081712710MaRDI QIDQ1279641

Mitsuru Sugimoto

Publication date: 25 July 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3296

zbMATH Keywords

\(L^p\)-\(L^{p'}\) estimateshyperbolic equations with constant coefficients

Mathematics Subject Classification ID

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

Related Items (5)

Estimates for hyperbolic equations with non-convex characteristics ⋮ 𝐿^{𝑝}→𝐿^{𝑞} regularity of Fourier integral operators with caustics ⋮ Sharp estimates for a class of hyperbolic pseudo-differential equations ⋮ Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals ⋮ Randol maximal functions and the integrability of the Fourier transform of measures

Cites Work

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• A priori estimates for higher order hyperbolic equations
• \(L^ p\)-\(L^{p'}\)-estimates for hyperbolic equations
• Estimates for hyperbolic equations with non-convex characteristics
• A priori estimates for the wave equation and some applications
• The Cauchy problem for elastic waves in an anisotropic medium
• Electromagnetic signal propagation in crystals
• Convolutions with Kernels Having Singularities on a Sphere

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