Continuation of analytic solutions of linear differential equations up to convex conical singularities

DOI10.24033/bsmf.2204zbMath0791.35005OpenAlexW2227528675MaRDI QIDQ5285686

Moto-o Uchida

Publication date: 29 June 1993

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1993__121_1_133_0

zbMATH Keywords

microfunctionsconical singularityremovabilityconical refractioncontinuation of real analytic solutionsequations with complex characteristic varietyisolated singularities of real analytic solutionslinear partial differential equations with analytic coefficients

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Boundary value problems for linear higher-order PDEs (35G15)

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Cites Work

• Extension of solutions of systems of linear differential equations
• On continuation of regular solutions of linear partial differential equations
• Micro-hyperbolic systems
• On the boundary value problem for elliptic system of linear differential equations, I
• A new proof and an extension of Hartog’s theorem
• On the analyticity of the locus of singularity of real analytic solutions with minimal dimension
• Microlocal analysis of diffraction by a corner
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