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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 85, Number 1, Pages 25–31 (Mi tmf5927)  

Quasiregular solutions for systems of hypoelliptic differential equations

A. S. Kopets
References:
Abstract: The concept of a quasiregular solution is introduced for a special class of systems of linear partial differential equations of first order, considered on the space of continuously differentiable functions. The methods of distribution theory are used to prove the infinite differentiability of the components of quasiregular solutions of the considered systems, and integral representations of potential type are obtained for them. Examples of quasiregular solutions are given for systems of linear equations of elasticity theory.
Received: 24.07.1989
English version:
Theoretical and Mathematical Physics, 1990, Volume 85, Issue 1, Pages 1028–1032
DOI: https://doi.org/10.1007/BF01017243
Bibliographic databases:
Language: Russian
Citation: A. S. Kopets, “Quasiregular solutions for systems of hypoelliptic differential equations”, TMF, 85:1 (1990), 25–31; Theoret. and Math. Phys., 85:1 (1990), 1028–1032
Citation in format AMSBIB
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\by A.~S.~Kopets
\paper Quasiregular solutions for systems of~hypoelliptic differential equations
\jour TMF
\yr 1990
\vol 85
\issue 1
\pages 25--31
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1083949}
\zmath{https://zbmath.org/?q=an:0722.35028}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 85
\issue 1
\pages 1028--1032
\crossref{https://doi.org/10.1007/BF01017243}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FK88200003}
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