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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1073–1085 (Mi smj1120)  
The complex reflection method for some classes of equations with the third derivative distinguished

Yu. V. Zasorin

Voronezh State University
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Abstract: We suggest a method for constructing the Green's functions for boundary-value problems in “half-space” type domains for some classes of partial differential equations whose third derivative with respect to the first spatial variable is distinguished, give formulas for exact solutions, and prove uniqueness theorems in the Schwartz spaces.
Keywords: viscous transonic equation, fundamental solution, Green's function, tempered distribution.
Received: 29.03.2002
Revised: 20.04.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 883–893
DOI: https://doi.org/10.1023/B:SIMJ.0000042477.45051.58
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: Yu. V. Zasorin, “The complex reflection method for some classes of equations with the third derivative distinguished”, Sibirsk. Mat. Zh., 45:5 (2004), 1073–1085; Siberian Math. J., 45:5 (2004), 883–893
Citation in format AMSBIB
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\vol 45
\issue 5
\pages 1073--1085
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 5
\pages 883--893
\crossref{https://doi.org/10.1023/B:SIMJ.0000042477.45051.58}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000224788300008}
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    		Сибирский математический журнал Siberian Mathematical Journal
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