Local Lp estimates for fourier-airy integral operators

DOI10.1002/cpa.3160350603zbMath0493.35056OpenAlexW2005830664MaRDI QIDQ3955769

Michael Beals

Publication date: 1982

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160350603

zbMATH Keywords

Dirichlet problemmethod of stationary phasepartial asymptotic expansionanalytic interpolation of operatorsFourier-Airy operatorsmooth strictly convex obstacleweakly singular coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Wave equation (35L05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Global and local regularity of Fourier integral operators on weighted and unweighted spaces ⋮ \(L^ p\) regularity for the wave equation with strictly convex obstacles

Cites Work

• Asymptotic Expansions
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