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Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols. / Ran Zhang

Swansea University Author: Ran Zhang

Abstract

In this thesis, we construct the fundamental solutions of pseudo-differential operators q(x,t,D) with time-dependent negative definite symbols q(x,t,xi) which are discussed as generators of Feller- and L2-sub-Markovian semigroups . The results are based on the Hille-Yosida theorem, the standard resu...

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Published: 2011
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42643
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first_indexed 2018-08-02T18:55:12Z
last_indexed 2018-08-03T10:10:42Z
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spelling 2018-08-02T16:24:29.9618028 v2 42643 2018-08-02 Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols. e5ecd7901d2390ce4640ef5176d9435a NULL Ran Zhang Ran Zhang true true 2018-08-02 In this thesis, we construct the fundamental solutions of pseudo-differential operators q(x,t,D) with time-dependent negative definite symbols q(x,t,xi) which are discussed as generators of Feller- and L2-sub-Markovian semigroups . The results are based on the Hille-Yosida theorem, the standard results of analytic semigroups of operators and the fundamental solutions of time-dependent parabolic equations. E-Thesis Mathematics. 31 12 2011 2011-12-31 COLLEGE NANME Mathematics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.9618028 2018-08-02T16:24:29.9618028 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Ran Zhang NULL 1 0042643-02082018162510.pdf 10805419.pdf 2018-08-02T16:25:10.6000000 Output 2188112 application/pdf E-Thesis true 2018-08-02T16:25:10.6000000 false
title Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
spellingShingle Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
Ran Zhang
title_short Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
title_full Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
title_fullStr Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
title_full_unstemmed Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
title_sort Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols.
author_id_str_mv e5ecd7901d2390ce4640ef5176d9435a
author_id_fullname_str_mv e5ecd7901d2390ce4640ef5176d9435a_***_Ran Zhang
author Ran Zhang
author2 Ran Zhang
format E-Thesis
publishDate 2011
institution Swansea University
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description In this thesis, we construct the fundamental solutions of pseudo-differential operators q(x,t,D) with time-dependent negative definite symbols q(x,t,xi) which are discussed as generators of Feller- and L2-sub-Markovian semigroups . The results are based on the Hille-Yosida theorem, the standard results of analytic semigroups of operators and the fundamental solutions of time-dependent parabolic equations.
published_date 2011-12-31T03:53:22Z
_version_ 1763752649505636352
score 11.012678

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