Analysis of heat equations on domains:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2005
|
| Schriftenreihe: | London Mathematical Society monographs
N.S., 31 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 284 S. |
| ISBN: | 0691120161 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV020038925 | ||
| 003 | DE-604 | ||
| 005 | 20181212 | ||
| 007 | t | ||
| 008 | 050921s2005 |||| 00||| eng d | ||
| 020 | |a 0691120161 |9 0-691-12016-1 | ||
| 035 | |a (OCoLC)249656468 | ||
| 035 | |a (DE-599)BVBBV020038925 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-703 |a DE-11 |a DE-91G |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA377 | |
| 082 | 0 | |a 515.353 | |
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a 17,1 |2 ssgn | ||
| 084 | |a 35K90 |2 msc | ||
| 084 | |a MAT 356f |2 stub | ||
| 084 | |a 47D06 |2 msc | ||
| 100 | 1 | |a Ouhabaz, El-Maati |e Verfasser |0 (DE-588)113444265 |4 aut | |
| 245 | 1 | 0 | |a Analysis of heat equations on domains |c El Maati Ouhabaz |
| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2005 | |
| 300 | |a XI, 284 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society monographs |v N.S., 31 | |
| 650 | 4 | |a Halbgruppe - Partielle Differentialgleichung | |
| 650 | 4 | |a Spektraltheorie - Elliptischer Differentialoperator - Wärmeleitungsgleichung | |
| 650 | 4 | |a Heat equation | |
| 650 | 4 | |a Heat |x Transmission |x Measurement | |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wärmeleitungsgleichung |0 (DE-588)4188859-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptischer Differentialoperator |0 (DE-588)4140057-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elliptischer Differentialoperator |0 (DE-588)4140057-4 |D s |
| 689 | 0 | 1 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | 2 | |a Wärmeleitungsgleichung |0 (DE-588)4188859-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a London Mathematical Society monographs |v N.S., 31 |w (DE-604)BV045355493 |9 31 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013360033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-013360033 | ||
Datensatz im Suchindex
| _version_ | 1804133609801515008 |
|---|---|
| adam_text | Contents
Preface ix
Notation xiii
Chapter 1. SESQUILINEAR FORMS, ASSOCIATED OPERATORS, AND
SEMIGROUPS 1
1.1 Bounded sesquilinear forms 1
1.2 Unbounded sesquilinear forms and their associated operators 3
1.3 Semigroups and unbounded operators 18
1.4 Semigroups associated with sesquilinear forms 29
1.5 Correspondence between forms, operators, and semigroups 38
Chapter 2. CONTRACTIVITY PROPERTIES 43
2.1 Invariance of closed convex sets 44
2.2 Positive and Lp contractive semigroups 49
2.3 Domination of semigroups 58
2.4 Operations on the form domain 64
2.5 Semigroups acting on vector valued functions 68
2.6 Sesquilinear forms with nondense domains 74
Chapter 3. INEQUALITIES FOR SUB MARKOVIAN SEMIGROUPS 79
3.1 Sub Markovian semigroups and Kato type inequalities 79
3.2 Further inequalities and the corresponding domain in Lp 88
3.3 Lp holomorphy of sub Markovian semigroups 95
Chapter 4. UNIFORMLY ELLIPTIC OPERATORS ON DOMAINS 99
4.1 Examples of boundary conditions 99
4.2 Positivity and irreducibility 103
4.3 L°° contractivity 107
4.4 The conservation property 120
4.5 Domination 125
4.6 I/p contractivity for 1 p oo 134
4.7 Operators with unbounded coefficients 137
Chapter 5. DEGENERATE ELLIPTIC OPERATORS 143
5.1 Symmetric degenerate elliptic operators 144
5.2 Operators with terms of order 1 145
Viii CONTENTS
Chapter 6. GAUSSIAN UPPER BOUNDS FOR HEAT KERNELS 155
6.1 Heat kernel bounds, Sobolev, Nash, and
Gagliardo Nirenberg inequalities 155
6.2 Holder continuity estimates of the heat kernel 160
6.3 Gaussian upper bounds 163
6.4 Sharper Gaussian upper bounds 174
6.5 Gaussian bounds for complex time and Lp analyticity 180
6.6 Weighted gradient estimates 185
Chapter 7. GAUSSIAN UPPER BOUNDS AND LP SPECTRAL THEORY 193
7.1 Lp bounds and holomorphy 196
7.2 Lp spectral independence 204
7.3 Riesz means and regularization of the Schrodinger group 208
7.4 Lp estimates for wave equations 214
7.5 Singular integral operators on irregular domains 228
7.6 Spectral multipliers 235
7.7 Riesz transforms associated with uniformly elliptic operators 240
7.8 Gaussian lower bounds 245
Chapter 8. A REVIEW OF THE KATO SQUARE ROOT PROBLEM 253
8.1 The problem in the abstract setting 253
8.2 The Kato square root problem for elliptic operators 257
8.3 Some consequences 261
Bibliography 265
Index 283
|
| any_adam_object | 1 |
| author | Ouhabaz, El-Maati |
| author_GND | (DE-588)113444265 |
| author_facet | Ouhabaz, El-Maati |
| author_role | aut |
| author_sort | Ouhabaz, El-Maati |
| author_variant | e m o emo |
| building | Verbundindex |
| bvnumber | BV020038925 |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 |
| callnumber-search | QA377 |
| callnumber-sort | QA 3377 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| classification_tum | MAT 356f |
| ctrlnum | (OCoLC)249656468 (DE-599)BVBBV020038925 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| 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>02040nam a2200505 cb4500</leader><controlfield tag="001">BV020038925</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181212 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">050921s2005 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691120161</subfield><subfield code="9">0-691-12016-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)249656468</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV020038925</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA377</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.353</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35K90</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 356f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">47D06</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ouhabaz, El-Maati</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113444265</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analysis of heat equations on domains</subfield><subfield code="c">El Maati Ouhabaz</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton [u.a.]</subfield><subfield code="b">Princeton Univ. Press</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 284 S.</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">London Mathematical Society monographs</subfield><subfield code="v">N.S., 31</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Halbgruppe - Partielle Differentialgleichung</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spektraltheorie - Elliptischer Differentialoperator - Wärmeleitungsgleichung</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Heat equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Heat</subfield><subfield code="x">Transmission</subfield><subfield code="x">Measurement</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wärmeleitungsgleichung</subfield><subfield code="0">(DE-588)4188859-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elliptischer Differentialoperator</subfield><subfield code="0">(DE-588)4140057-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Elliptischer Differentialoperator</subfield><subfield code="0">(DE-588)4140057-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Wärmeleitungsgleichung</subfield><subfield code="0">(DE-588)4188859-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society monographs</subfield><subfield code="v">N.S., 31</subfield><subfield code="w">(DE-604)BV045355493</subfield><subfield code="9">31</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=013360033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013360033</subfield></datafield></record></collection> |
| id | DE-604.BV020038925 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:11:26Z |
| institution | BVB |
| isbn | 0691120161 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013360033 |
| oclc_num | 249656468 |
| open_access_boolean | |
| owner | DE-824 DE-703 DE-11 DE-91G DE-BY-TUM DE-188 DE-83 |
| owner_facet | DE-824 DE-703 DE-11 DE-91G DE-BY-TUM DE-188 DE-83 |
| physical | XI, 284 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | London Mathematical Society monographs |
| series2 | London Mathematical Society monographs |
| spelling | Ouhabaz, El-Maati Verfasser (DE-588)113444265 aut Analysis of heat equations on domains El Maati Ouhabaz Princeton [u.a.] Princeton Univ. Press 2005 XI, 284 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society monographs N.S., 31 Halbgruppe - Partielle Differentialgleichung Spektraltheorie - Elliptischer Differentialoperator - Wärmeleitungsgleichung Heat equation Heat Transmission Measurement Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Wärmeleitungsgleichung (DE-588)4188859-5 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 s Spektraltheorie (DE-588)4116561-5 s Wärmeleitungsgleichung (DE-588)4188859-5 s DE-604 London Mathematical Society monographs N.S., 31 (DE-604)BV045355493 31 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013360033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ouhabaz, El-Maati Analysis of heat equations on domains London Mathematical Society monographs Halbgruppe - Partielle Differentialgleichung Spektraltheorie - Elliptischer Differentialoperator - Wärmeleitungsgleichung Heat equation Heat Transmission Measurement Spektraltheorie (DE-588)4116561-5 gnd Wärmeleitungsgleichung (DE-588)4188859-5 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4188859-5 (DE-588)4140057-4 |
| title | Analysis of heat equations on domains |
| title_auth | Analysis of heat equations on domains |
| title_exact_search | Analysis of heat equations on domains |
| title_full | Analysis of heat equations on domains El Maati Ouhabaz |
| title_fullStr | Analysis of heat equations on domains El Maati Ouhabaz |
| title_full_unstemmed | Analysis of heat equations on domains El Maati Ouhabaz |
| title_short | Analysis of heat equations on domains |
| title_sort | analysis of heat equations on domains |
| topic | Halbgruppe - Partielle Differentialgleichung Spektraltheorie - Elliptischer Differentialoperator - Wärmeleitungsgleichung Heat equation Heat Transmission Measurement Spektraltheorie (DE-588)4116561-5 gnd Wärmeleitungsgleichung (DE-588)4188859-5 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd |
| topic_facet | Halbgruppe - Partielle Differentialgleichung Spektraltheorie - Elliptischer Differentialoperator - Wärmeleitungsgleichung Heat equation Heat Transmission Measurement Spektraltheorie Wärmeleitungsgleichung Elliptischer Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013360033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV045355493 |
| work_keys_str_mv | AT ouhabazelmaati analysisofheatequationsondomains |