Feller Generators with Measure-valued Drifts
We construct a L p -strong Feller process associated with the formal differential operator − Δ + σ ⋅∇ on ℝ d , d ≥ 3 , with drift σ in a wide class of measures (e.g. the sum of a measure having density in weak L d space and a Kato class measure), by exploiting a quantitative dependence of the smooth...
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| Veröffentlicht in: | Potential analysis 2018-02, Vol.48 (2), p.207-222 |
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| container_title | Potential analysis |
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| creator | Kinzebulatov, Damir |
| description | We construct a
L
p
-strong Feller process associated with the formal differential operator − Δ +
σ
⋅∇ on
ℝ
d
,
d
≥
3
, with drift
σ
in a wide class of measures (e.g. the sum of a measure having density in weak
L
d
space and a Kato class measure), by exploiting a quantitative dependence of the smoothness of the domain of an operator realization of − Δ +
σ
⋅∇ generating a holomorphic
C
0
-semigroup on
L
p
(
ℝ
d
)
,
p
>
d
− 1, on the value of the relative bound of
σ
. |
| doi_str_mv | 10.1007/s11118-017-9632-z |
| format | Article |
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L
p
-strong Feller process associated with the formal differential operator − Δ +
σ
⋅∇ on
ℝ
d
,
d
≥
3
, with drift
σ
in a wide class of measures (e.g. the sum of a measure having density in weak
L
d
space and a Kato class measure), by exploiting a quantitative dependence of the smoothness of the domain of an operator realization of − Δ +
σ
⋅∇ generating a holomorphic
C
0
-semigroup on
L
p
(
ℝ
d
)
,
p
>
d
− 1, on the value of the relative bound of
σ
.</description><identifier>ISSN: 0926-2601</identifier><identifier>EISSN: 1572-929X</identifier><identifier>DOI: 10.1007/s11118-017-9632-z</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Differential equations ; Functional Analysis ; Geometry ; Mathematics ; Mathematics and Statistics ; Potential Theory ; Probability Theory and Stochastic Processes ; Smoothness</subject><ispartof>Potential analysis, 2018-02, Vol.48 (2), p.207-222</ispartof><rights>Springer Science+Business Media B.V. 2017</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-3e0f81bd708ced333360ea02003869422bdbf0e6116c5339691994a845c2f99f3</citedby><cites>FETCH-LOGICAL-c316t-3e0f81bd708ced333360ea02003869422bdbf0e6116c5339691994a845c2f99f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11118-017-9632-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11118-017-9632-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kinzebulatov, Damir</creatorcontrib><title>Feller Generators with Measure-valued Drifts</title><title>Potential analysis</title><addtitle>Potential Anal</addtitle><description>We construct a
L
p
-strong Feller process associated with the formal differential operator − Δ +
σ
⋅∇ on
ℝ
d
,
d
≥
3
, with drift
σ
in a wide class of measures (e.g. the sum of a measure having density in weak
L
d
space and a Kato class measure), by exploiting a quantitative dependence of the smoothness of the domain of an operator realization of − Δ +
σ
⋅∇ generating a holomorphic
C
0
-semigroup on
L
p
(
ℝ
d
)
,
p
>
d
− 1, on the value of the relative bound of
σ
.</description><subject>Differential equations</subject><subject>Functional Analysis</subject><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Potential Theory</subject><subject>Probability Theory and Stochastic Processes</subject><subject>Smoothness</subject><issn>0926-2601</issn><issn>1572-929X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kDFPwzAQhS0EEqXwA9gisWK4sxvHHlGhBamIBSQ2y0nO0Co0xU5A7a_HVRhYeMst73snfYydI1whQHEdMUVzwIIbJQXfHbAR5oXgRpjXQzYCIxQXCvCYncS4AgBRFHrELmfUNBSyOa0puK4NMftedu_ZI7nYB-Jfrumpzm7D0nfxlB1510Q6-71j9jK7e57e88XT_GF6s-CVRNVxSeA1lnUBuqJapiggBwJAamUmQpR16YEUoqpyKY0yaMzE6UleCW-Ml2N2MexuQvvZU-zsqu3DOr20aLQ2OpcIqYVDqwptjIG83YTlhwtbi2D3UuwgxSYpdi_F7hIjBiam7vqNwp_lf6Ef3TFi5w</recordid><startdate>20180201</startdate><enddate>20180201</enddate><creator>Kinzebulatov, Damir</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20180201</creationdate><title>Feller Generators with Measure-valued Drifts</title><author>Kinzebulatov, Damir</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-3e0f81bd708ced333360ea02003869422bdbf0e6116c5339691994a845c2f99f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Differential equations</topic><topic>Functional Analysis</topic><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Potential Theory</topic><topic>Probability Theory and Stochastic Processes</topic><topic>Smoothness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kinzebulatov, Damir</creatorcontrib><collection>CrossRef</collection><jtitle>Potential analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kinzebulatov, Damir</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Feller Generators with Measure-valued Drifts</atitle><jtitle>Potential analysis</jtitle><stitle>Potential Anal</stitle><date>2018-02-01</date><risdate>2018</risdate><volume>48</volume><issue>2</issue><spage>207</spage><epage>222</epage><pages>207-222</pages><issn>0926-2601</issn><eissn>1572-929X</eissn><abstract>We construct a
L
p
-strong Feller process associated with the formal differential operator − Δ +
σ
⋅∇ on
ℝ
d
,
d
≥
3
, with drift
σ
in a wide class of measures (e.g. the sum of a measure having density in weak
L
d
space and a Kato class measure), by exploiting a quantitative dependence of the smoothness of the domain of an operator realization of − Δ +
σ
⋅∇ generating a holomorphic
C
0
-semigroup on
L
p
(
ℝ
d
)
,
p
>
d
− 1, on the value of the relative bound of
σ
.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11118-017-9632-z</doi><tpages>16</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0926-2601 |
| ispartof | Potential analysis, 2018-02, Vol.48 (2), p.207-222 |
| issn | 0926-2601 1572-929X |
| language | eng |
| recordid | cdi_proquest_journals_1988985310 |
| source | SpringerLink Journals |
| subjects | Differential equations Functional Analysis Geometry Mathematics Mathematics and Statistics Potential Theory Probability Theory and Stochastic Processes Smoothness |
| title | Feller Generators with Measure-valued Drifts |
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