Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients

DOI10.1090/S0273-0979-1984-15255-8zbMath0568.35074OpenAlexW2073436199MaRDI QIDQ3684532

Gunther Uhlmann, Constantine J. Callias

Publication date: 1984

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1984-15255-8

zbMATH Keywords

asymptotic propertiesheat kernelscattering amplitudeisolated singularitieshigh frequency

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Heat equation (35K05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Wave equation (35L05) PDEs with low regular coefficients and/or low regular data (35R05) Asymptotic expansions of solutions to PDEs (35C20) Partial differential equations on manifolds; differential operators (58J99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Spectral estimates around a critical level, On the resolvent and spectral functions of a second order differential operator with a regular singularity, Resolvents of cone pseudodifferential operators, asymptotic expansions and applications, Generalized solutions of nonlinear differential equation and the maslov algebras of distributions, The Heat Equation for the -Neumann Problem, I

Cites Work

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• Singular asymptotics of integrals and the near-field radiated from nonuniformly moving dislocations
• Functional determinants in Euclidean Yang-Mills theory
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• Light intensity distribution in conical refraction
• The resolvent and the heat kernel for some singular boundary problems
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