\(L^ p\) regularity for the wave equation with strictly convex obstacles

DOI10.1215/S0012-7094-94-07304-3zbMath0805.35169OpenAlexW2048773690MaRDI QIDQ1325153

Hart F. Smith, Christopher D. Sogge

Publication date: 24 May 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07304-3

zbMATH Keywords

wave equationboundary behaviour\(L^ p\)-estimatesFourier-Airy integral operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Fourier integral operators applied to PDEs (35S30)

Related Items (7)

On 𝐿^{𝑝} continuity of singular Fourier integral operators ⋮ 𝐿^{𝑝}→𝐿^{𝑞} regularity of Fourier integral operators with caustics ⋮ \(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities ⋮ Dispersion for the wave equation outside a cylinder in \(\mathbb{R}^3\) ⋮ On the Critical Semilinear Wave Equation Outside Convex Obstacles ⋮ Concentration of Eigenfunctions Near a Concave Boundary ⋮ Radon transforms and finite type conditions

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