A symbolic construction of the forward fundamental solution of the wave operator

DOI10.1080/03605309808821387zbMath0917.35171OpenAlexW2081382233MaRDI QIDQ4220032

Mark S. Joshi

Publication date: 11 November 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821387

zbMATH Keywords

Lagrangian distributionsparametricesfundamental solution of the wave operatorpseudo-differential operators with singular symbols

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Wave equation (35L05) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (9)

Dynamical residues of Lorentzian spectral zeta functions ⋮ A commutator proof of the propagation of polyhomogeneity for semi-linear equations ⋮ Algebras of semiclassical pseudodifferential operators associated with Zoll-type domains in cotangent bundles ⋮ A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces ⋮ ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER ⋮ Recovering the total singularity of a conormal potential from backscattering data ⋮ Microlocal analysis of scattering data for nested conormal potentials ⋮ Contribution of periodic diffractive geodesics ⋮ Inverse scattering on asymptotically hyperbolic manifolds.

Cites Work

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• Oscillatory integrals with singular symbols
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Recovering the total singularity of a conormal potential from backscattering data
• Trace formulas and the Conley-Zehnder index
• Fourier integral operators. I
• Fourier integral operators. II
• Lagrangian Intersection and the Cauchy Problem
• Distributions Associated to a 2-Microlocal Pair of Lagrangian Mainfolds
• An intrinsic characterisation of polyhomogeneous Lagrangian distributions

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