Estimates for hyperbolic equations with non-convex characteristics

DOI10.1007/PL00004265zbMath0867.35013MaRDI QIDQ2365035

Mitsuru Sugimoto

Publication date: 4 August 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174899

zbMATH Keywords

\(L^ p\)-\(L^{p'}\)-estimates\(L^ p\)-\(L^{p'}\)-boundedness

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (7)

On \(t\)-dependent hyperbolic systems. II. ⋮ 𝐿^{𝑝}→𝐿^{𝑞} regularity of Fourier integral operators with caustics ⋮ Sharp estimates for a class of hyperbolic pseudo-differential equations ⋮ Dispersive estimates for hyperbolic systems with time-dependent coefficients ⋮ Time decay for hyperbolic equations with homogeneous symbols ⋮ Estimates for hyperbolic equations of space dimension 3 ⋮ A remark on the asymptotic properties of eigenvalues and the lattice point problem

Cites Work

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• Regularity properties of Fourier integral operators
• On \(L_2-L_{p'}\) estimates for the wave-equation
• Estimates for hyperbolic equations of space dimension 3
• A priori estimates for higher order hyperbolic equations
• Estimates for Solutions of Wave Equations with Vanishing Curvature
• Convolutions with Kernels Having Singularities on a Sphere

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