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Classical microlocal analysis in the space of hyperfunctions

The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal An...

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Detalles Bibliográficos
Autor principal: Wakabayashi, Seiichiro
Lenguaje:eng
Publicado: Springer 2000
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0103767
http://cds.cern.ch/record/1691404
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author Wakabayashi, Seiichiro
author_facet Wakabayashi, Seiichiro
author_sort Wakabayashi, Seiichiro
collection CERN
description The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
publisher Springer
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spelling cern-16914042021-04-21T21:10:13Zdoi:10.1007/BFb0103767http://cds.cern.ch/record/1691404engWakabayashi, SeiichiroClassical microlocal analysis in the space of hyperfunctionsMathematical Physics and MathematicsThe book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.Springeroai:cds.cern.ch:16914042000
spellingShingle Mathematical Physics and Mathematics
Wakabayashi, Seiichiro
Classical microlocal analysis in the space of hyperfunctions
title Classical microlocal analysis in the space of hyperfunctions
title_full Classical microlocal analysis in the space of hyperfunctions
title_fullStr Classical microlocal analysis in the space of hyperfunctions
title_full_unstemmed Classical microlocal analysis in the space of hyperfunctions
title_short Classical microlocal analysis in the space of hyperfunctions
title_sort classical microlocal analysis in the space of hyperfunctions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0103767
http://cds.cern.ch/record/1691404
work_keys_str_mv AT wakabayashiseiichiro classicalmicrolocalanalysisinthespaceofhyperfunctions