Complex Cauchy problem in a scale of analytic functions with power-law singularities

DOI10.1134/S0012266118080050zbMath1404.35102OpenAlexW2892196225WikidataQ129250339 ScholiaQ129250339MaRDI QIDQ1631166

A. M. Biryukov

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118080050

zbMATH Keywords

power-law singularitiesscale of Banach spacescomplex linear partial differential equations

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Initial value problems for linear higher-order PDEs (35G10)

Related Items (1)

Necessary and sufficient conditions for the solvability of the complex Cauchy problem in classes of functions of vector-exponential type

Cites Work

• Well-posed solvability of an analytic Cauchy problem in spaces with an integral metric
• Uniformisation et développement asymptotique de la solution du problème de Cauchy linéaire, à données holomorphes ; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy I bis et VI.)

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