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October, 2004 Microlocal boundary value problem for regular-specializable systems
J. Math. Soc. Japan 56(4): 1109-1129 (October, 2004). DOI: 10.2969/jmsj/1190905451


In the framework of microlocal analysis, a boundary value morphism is defined for solutions to the regular-specializable system of analytic linear partial differential equations. This morphism can be regarded as a microlocal counterpart of the boundary value morphism for hyperfunction solutions due to Monteiro Fernandes, and the injectivity of this morphism (that is, the Holmgren type theorem) is proved. Moreover, under a kind of hyperbolicity condition, it is proved that this morphism is surjective (that is, the solvability).


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Susumu YAMAZAKI. "Microlocal boundary value problem for regular-specializable systems." J. Math. Soc. Japan 56 (4) 1109 - 1129, October, 2004.


Published: October, 2004
First available in Project Euclid: 27 September 2007

zbMATH: 1065.35014
MathSciNet: MR2092940
Digital Object Identifier: 10.2969/jmsj/1190905451

Primary: 35A27
Secondary: 32C38 , 35G15 , 58J15

Keywords: boundary value problem , D-module , hyperfunctions , microlocal analysis

Rights: Copyright © 2004 Mathematical Society of Japan

Vol.56 • No. 4 • October, 2004
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