E-Thesis 641 views 176 downloads
Fundamental solutions of a class of pseudo-differential operators with time-dependent negative definite symbols. / Ran Zhang
Swansea University Author: Ran Zhang
-
PDF | E-Thesis
Download (2.15MB)
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...
| Published: |
2011
|
|---|---|
| Institution: | Swansea University |
| Degree level: | Doctoral |
| Degree name: | Ph.D |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa42643 |
| 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: |
Faculty of Science and Engineering |