E-Thesis 619 views 166 downloads
On a class of one-parameter operator semigroups with state space Rn x Zm generated by pseudo-differential operators. / Owen Christopher Morris
Swansea University Author: Owen Christopher Morris
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Abstract
"The thesis shows that, under suitable conditions, a pseudo-differential operator, defined on some "nice" set of functions on Rn x Zm, with continuous negative definite symbol q(x,xi,o) extends to a generator of a Feller semigroup. Sections 1-5 are the preliminary sections, these sect...
| Published: |
2013
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| Institution: | Swansea University |
| Degree level: | Doctoral |
| Degree name: | Ph.D |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa42779 |
| Abstract: |
"The thesis shows that, under suitable conditions, a pseudo-differential operator, defined on some "nice" set of functions on Rn x Zm, with continuous negative definite symbol q(x,xi,o) extends to a generator of a Feller semigroup. Sections 1-5 are the preliminary sections, these sections discuss some harmonic analysis concerning locally compact Abelian groups. The essence of this thesis are Sections 6-13, which deals with obtaining the estimates required for the fulfilment of the conditions of the Hille-Yosida-Ray theorem." |
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| Keywords: |
Mathematics. |
| College: |
Faculty of Science and Engineering |