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References (5)
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J. Leray, L. Gårding, T. Kotake (1964)
Uniformisation et développement asymptotique de la solution du problème de Cauchy linéairedonnées holomorphes; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy I bis et VI.), 92
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A. Biryukov (2016)
Well-posed solvability of an analytic Cauchy problem in spaces with an integral metricDifferential Equations, 52
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L. Gårding, Takeshi Kotake, J. Leray (1964)
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.)Bulletin de la Société Mathématique de France, 92
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(1964)
Metody teorii funktsii mnogikh kompleksnykh peremennykh (Methods of the Theory of Functions of Several Complex Variables)
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266118080050
- Publisher site
- See Article on Publisher Site
Abstract
We consider the Cauchy problem for systems of complex linear partial differential equations and obtain necessary and sufficient conditions for this problem to be well posed in a scale of Banach spaces of analytic functions having power-law singularities as the independent variable tends to the lateral surface of a cone.
Journal
Differential Equations – Springer Journals
Published: Sep 18, 2018