Function spaces and pseudo-differential operators on vector bundles

The objective of this Master thesis is to give coordinate-free definitions of certain concepts in modern analysis on vector bundles and to apply these tools to elliptic partial differential equations. Topics that we cover are distribution theory, Sobolev spaces and pseudo-differential operators....

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Main Author: Uusluoto, Veli-Pekka
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Matematiikan ja tilastotieteen laitos, Department of Mathematics and Statistics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/65717
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author Uusluoto, Veli-Pekka
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä
author_facet Uusluoto, Veli-Pekka Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä Uusluoto, Veli-Pekka Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Matematiikan ja tilastotieteen laitos Department of Mathematics and Statistics Jyväskylän yliopisto University of Jyväskylä
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description The objective of this Master thesis is to give coordinate-free definitions of certain concepts in modern analysis on vector bundles and to apply these tools to elliptic partial differential equations. Topics that we cover are distribution theory, Sobolev spaces and pseudo-differential operators.
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spellingShingle Uusluoto, Veli-Pekka Function spaces and pseudo-differential operators on vector bundles distribution theory Sobolev spaces pseudo-differential operators Matematiikka Mathematics 4041 differentiaaligeometria differential geometry
title Function spaces and pseudo-differential operators on vector bundles
title_full Function spaces and pseudo-differential operators on vector bundles
title_fullStr Function spaces and pseudo-differential operators on vector bundles Function spaces and pseudo-differential operators on vector bundles
title_full_unstemmed Function spaces and pseudo-differential operators on vector bundles Function spaces and pseudo-differential operators on vector bundles
title_short Function spaces and pseudo-differential operators on vector bundles
title_sort function spaces and pseudo differential operators on vector bundles
title_txtP Function spaces and pseudo-differential operators on vector bundles
topic distribution theory Sobolev spaces pseudo-differential operators Matematiikka Mathematics 4041 differentiaaligeometria differential geometry
topic_facet 4041 Matematiikka Mathematics Sobolev spaces differentiaaligeometria differential geometry distribution theory pseudo-differential operators
url https://jyx.jyu.fi/handle/123456789/65717 http://www.urn.fi/URN:NBN:fi:jyu-201910024305
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