The Cauchy problem for certain systems of operator-differential equations of arbitrary order in locally convex spaces

DOI10.1134/S0001434611070182zbMath1238.35177MaRDI QIDQ764028

N. A. Aksenov

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemlocally convex spacelinear operatoroperator-differential equationmultiple power seriespolycylinderCauchy-Hadamard formulaCauchy-Kovalevskaya sufficient conditions

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (1)

Pseudo-differential operators with meromorphic symbols and systems of complex differential equations

Cites Work

• Unnamed Item
• On the order and type of an operator.
• Analytic solutions to differential operator equations in locally convex spaces
• 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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