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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
URI: https://cronfa.swan.ac.uk/Record/cronfa42643
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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 results of analytic semigroups of operators and the fundamental solutions of time-dependent parabolic equations.
Keywords: Mathematics.
College: College of Science