Parabolic equations with irregular data and related issues: applications to stochastic differential equations
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
De Gruyter
[2019]
|
| Schriftenreihe: | De Gruyter Series in Applied and Numerical Mathematics
Volume 4 |
| Schlagwörter: | |
| Links: | http://d-nb.info/1175757128/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031486134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 141 Seiten |
| ISBN: | 9783110633139 3110633132 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV046105416 | ||
| 003 | DE-604 | ||
| 005 | 20210915 | ||
| 007 | t| | ||
| 008 | 190815s2019 gw |||| 00||| eng d | ||
| 015 | |a 19,N04 |2 dnb | ||
| 015 | |a 19,A30 |2 dnb | ||
| 016 | 7 | |a 1175757128 |2 DE-101 | |
| 020 | |a 9783110633139 |c hardcover |9 978-3-11-063313-9 | ||
| 020 | |a 3110633132 |c hardcover |9 3-11-063313-2 | ||
| 024 | 3 | |a 9783110633139 | |
| 035 | |a (OCoLC)1121482124 | ||
| 035 | |a (DE-599)DNB1175757128 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE | ||
| 049 | |a DE-703 |a DE-11 | ||
| 082 | 0 | |a 515.3534 |2 23/ger | |
| 084 | |a SK 560 |0 (DE-625)143246: |2 rvk | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Le Bris, Claude |d 1966- |e Verfasser |0 (DE-588)12235138X |4 aut | |
| 245 | 1 | 0 | |a Parabolic equations with irregular data and related issues |b applications to stochastic differential equations |c Claude Le Bris, Pierre-Louis Lions |
| 264 | 1 | |a Berlin |b De Gruyter |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a XI, 141 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Series in Applied and Numerical Mathematics |v Volume 4 | |
| 650 | 0 | 7 | |a Stochastische Differentialgleichung |0 (DE-588)4057621-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |2 gnd |9 rswk-swf |
| 653 | |a Parabolische partielle Differentialgleichung | ||
| 653 | |a Stochastische partielle Differentialgleichung | ||
| 689 | 0 | 0 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |D s |
| 689 | 0 | 1 | |a Stochastische Differentialgleichung |0 (DE-588)4057621-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Lions, Pierre-Louis |d 1956- |e Verfasser |0 (DE-588)1038560152 |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-063550-8 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-063314-6 |
| 830 | 0 | |a De Gruyter Series in Applied and Numerical Mathematics |v Volume 4 |w (DE-604)BV044780807 |9 4 | |
| 856 | 4 | 2 | |m B:DE-101 |q application/pdf |u http://d-nb.info/1175757128/04 |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031486134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031486134 | |
Datensatz im Suchindex
| _version_ | 1819302884746985472 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
*
VII
1
GENERAL
CONTEXT
*
1
1.1
TRANSPORT
EQUATIONS
AND
ORDINARY
DIFFERENTIAL
EQUATIONS
*
1
1.2
STOCHASTIC
DIFFERENTIAL
EQUATIONS
*
10
1.3
PARABOLIC
EQUATIONS
*
16
1.3.1
PARABOLIC
EQUATIONS
WITH
REGULAR
DATA,
AND
RELATED
ISSUES
*
17
1.3.2
SOME
PREVIOUS
WORKS
ON
PARABOLIC
EQUATIONS
WITH
IRREGULAR
DATA
AND
RELATED
ISSUES
*
18
1.3.3
BRIEF
OUTLINE
OF
OUR
TECHNIQUES
AND
RESULTS
*
24
2
OPERATORS
WITH
CONSTANT
SECOND-ORDER
TERM
*
27
2.1
BOUNDED
INITIAL
CONDITION
*
31
2.1.1
THE
MAIN
RESULT
AND
ITS
PROOF
*
31
2.1.2
ON
OUR
ASSUMPTIONS
ON
B
AND
THEIR
OPTIMALITY .
*
35
2.1.3
THE
I
1
ESTIMATE
*
38
2.1.4
THE
TWO-DIMENSIONAL
SETTING
*
45
2.2
PROBABILITY
THEORETIC
VIEWPOINT
*
49
2.2.1
GENERALITIES
AND
NOTION
OF
SOLUTION
*
50
2.2.2
EXISTENCE
AND
UNIQUENESS
IN
LAW
*
56
2.2.3
PATHWISE
UNIQUENESS
AND
STRONG
EXISTENCE
*
62
2.3
INITIAL
CONDITIONS
IN
L
P
,
P
+OO
*
69
2.4 MISCELLANEOUS
REMARKS
*
80
3
EQUATIONS
IN
DIVERGENCE
FORM
*
87
3.1
POSSIBLY
DEGENERATE
DIFFUSION
MATRICES
*
88
3.2
NON-DEGENERATE
CASES
*
95
3.3
REMARKS
*
96
3.4
ABOUT
THE
L
1
ESTIMATE
*
98
3.5
INTERMEDIATE
*
CASES
AND,
IN
PARTICULAR,
THEIR
RELATION
TO
HYPOELLIPTICITY
*
107
3.5.1
HYPOELLIPTICITY
IN
THE
NON-REGULAR
SETTING
*
109
3.5.2
A
SUBELLIPTIC
SITUATION
*
116
3.5.3
TOWARD
GENERICNESS
*
117
4
EXTENSIONS
*
119
4.1
NON-DIVERGENCE
FORM
EQUATIONS
*
119
4.1.1
IMMEDIATE
EXTENSIONS
OF
THE
RESULTS
PREVIOUSLY
OBTAINED
*
119
4.1.2
THE
NON-DIVERGENCE
CASE
PER
SE
*
120
VI
*
CONTENTS
4.1.3
4.1.4
4.2
4.3
PROBABILISTIC
INTERPRETATION
OF
OUR
ASSUMPTIONS
*
126
BACK
TO
THE
L
1
ESTIMATE
*
128
APPLICATION
TO
THE
THEORY
OF
STOCHASTIC
DIFFERENTIAL
EQUATIONS
*
129
FURTHER
EXTENSIONS
*
133
BIBLIOGRAPHY
*
137
INDEX
*
143
|
| any_adam_object | 1 |
| author | Le Bris, Claude 1966- Lions, Pierre-Louis 1956- |
| author_GND | (DE-588)12235138X (DE-588)1038560152 |
| author_facet | Le Bris, Claude 1966- Lions, Pierre-Louis 1956- |
| author_role | aut aut |
| author_sort | Le Bris, Claude 1966- |
| author_variant | b c l bc bcl p l l pll |
| building | Verbundindex |
| bvnumber | BV046105416 |
| classification_rvk | SK 560 SK 820 |
| ctrlnum | (OCoLC)1121482124 (DE-599)DNB1175757128 |
| dewey-full | 515.3534 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3534 |
| dewey-search | 515.3534 |
| dewey-sort | 3515.3534 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02500nam a2200565 cb4500</leader><controlfield tag="001">BV046105416</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210915 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">190815s2019 gw |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">19,N04</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">19,A30</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1175757128</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110633139</subfield><subfield code="c">hardcover</subfield><subfield code="9">978-3-11-063313-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110633132</subfield><subfield code="c">hardcover</subfield><subfield code="9">3-11-063313-2</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783110633139</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1121482124</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1175757128</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.3534</subfield><subfield code="2">23/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 560</subfield><subfield code="0">(DE-625)143246:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 820</subfield><subfield code="0">(DE-625)143258:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Le Bris, Claude</subfield><subfield code="d">1966-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)12235138X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Parabolic equations with irregular data and related issues</subfield><subfield code="b">applications to stochastic differential equations</subfield><subfield code="c">Claude Le Bris, Pierre-Louis Lions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2019]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 141 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">De Gruyter Series in Applied and Numerical Mathematics</subfield><subfield code="v">Volume 4</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastische Differentialgleichung</subfield><subfield code="0">(DE-588)4057621-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parabolische Differentialgleichung</subfield><subfield code="0">(DE-588)4173245-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parabolische partielle Differentialgleichung</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Stochastische partielle Differentialgleichung</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Parabolische Differentialgleichung</subfield><subfield code="0">(DE-588)4173245-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Stochastische Differentialgleichung</subfield><subfield code="0">(DE-588)4057621-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lions, Pierre-Louis</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1038560152</subfield><subfield code="4">aut</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Walter de Gruyter GmbH & Co. KG</subfield><subfield code="0">(DE-588)10095502-2</subfield><subfield code="4">pbl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, PDF</subfield><subfield code="z">978-3-11-063550-8</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-3-11-063314-6</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter Series in Applied and Numerical Mathematics</subfield><subfield code="v">Volume 4</subfield><subfield code="w">(DE-604)BV044780807</subfield><subfield code="9">4</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">B:DE-101</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://d-nb.info/1175757128/04</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031486134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031486134</subfield></datafield></record></collection> |
| id | DE-604.BV046105416 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:43:18Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110633139 3110633132 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031486134 |
| oclc_num | 1121482124 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | XI, 141 Seiten |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter Series in Applied and Numerical Mathematics |
| series2 | De Gruyter Series in Applied and Numerical Mathematics |
| spellingShingle | Le Bris, Claude 1966- Lions, Pierre-Louis 1956- Parabolic equations with irregular data and related issues applications to stochastic differential equations De Gruyter Series in Applied and Numerical Mathematics Stochastische Differentialgleichung (DE-588)4057621-8 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4057621-8 (DE-588)4173245-5 |
| title | Parabolic equations with irregular data and related issues applications to stochastic differential equations |
| title_auth | Parabolic equations with irregular data and related issues applications to stochastic differential equations |
| title_exact_search | Parabolic equations with irregular data and related issues applications to stochastic differential equations |
| title_full | Parabolic equations with irregular data and related issues applications to stochastic differential equations Claude Le Bris, Pierre-Louis Lions |
| title_fullStr | Parabolic equations with irregular data and related issues applications to stochastic differential equations Claude Le Bris, Pierre-Louis Lions |
| title_full_unstemmed | Parabolic equations with irregular data and related issues applications to stochastic differential equations Claude Le Bris, Pierre-Louis Lions |
| title_short | Parabolic equations with irregular data and related issues |
| title_sort | parabolic equations with irregular data and related issues applications to stochastic differential equations |
| title_sub | applications to stochastic differential equations |
| topic | Stochastische Differentialgleichung (DE-588)4057621-8 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Stochastische Differentialgleichung Parabolische Differentialgleichung |
| url | http://d-nb.info/1175757128/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031486134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV044780807 |
| work_keys_str_mv | AT lebrisclaude parabolicequationswithirregulardataandrelatedissuesapplicationstostochasticdifferentialequations AT lionspierrelouis parabolicequationswithirregulardataandrelatedissuesapplicationstostochasticdifferentialequations AT walterdegruytergmbhcokg parabolicequationswithirregulardataandrelatedissuesapplicationstostochasticdifferentialequations |