Inverse nodal problems: finding the potential from nodal lines
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
572 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 119, Number 572 (end of volume) |
| Beschreibung: | VII, 148 S. graph. Darst. |
| ISBN: | 0821804863 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010687912 | ||
| 003 | DE-604 | ||
| 005 | 20230615 | ||
| 007 | t | ||
| 008 | 960327s1996 d||| |||| 00||| eng d | ||
| 020 | |a 0821804863 |9 0-8218-0486-3 | ||
| 035 | |a (OCoLC)246282181 | ||
| 035 | |a (DE-599)BVBBV010687912 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-384 |a DE-824 |a DE-12 |a DE-739 |a DE-29T |a DE-91G |a DE-83 |a DE-188 | ||
| 084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
| 100 | 1 | |a Hald, Ole H. |e Verfasser |0 (DE-588)139218939 |4 aut | |
| 245 | 1 | 0 | |a Inverse nodal problems |b finding the potential from nodal lines |c Ole H. Hald ; Joyce R. McLaughlin |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1996 | |
| 300 | |a VII, 148 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 572 | |
| 500 | |a Volume 119, Number 572 (end of volume) | ||
| 650 | 0 | 7 | |a Eigenwertverteilung |0 (DE-588)4123087-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |D s |
| 689 | 1 | 1 | |a Eigenwertverteilung |0 (DE-588)4123087-5 |D s |
| 689 | 1 | 2 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a MacLaughlin, Joyce R. |e Verfasser |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 572 |w (DE-604)BV008000141 |9 572 | |
| 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=007134153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007134153 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804125166112866304 |
|---|---|
| adam_text | Contents
Introduction 1
1 Separation of eigenvalues for the Laplacian 5
1.1 Small gaps between eigenvalues 5
1.2 Large gaps between selected eigenvalues 11
1.3 The parabola condition 18
2 Eigenvalues for the finite dimensional problem 25
3 Eigenfunctions for the finite dimensional problem 31
4 Eigenvalues for — A + ? 51
4.1 The bound for TA 52
4.2 Construction of (A, Aj) sets 61
4.3 Intermediate bounds for XQq 65
4.4 L2 bound for uaq ua 72
4.5 Final bounds for a — aq, a 2 — Xoq 75
5 Eigenfunctions for — A +q 79
5.1 The L°° estimates 80
v
vi CONTENTS
5.2 Corridors containing nodal lines 8I
5.3 Perturbation of nodal domains 85
6 The inverse nodal problem 91
7 The case / q ^ 0 103
J R
Acknowledgment 105
References 106
Appendix A 109
Appendix B 117
Appendix C 121
Appendix D 141
|
| any_adam_object | 1 |
| author | Hald, Ole H. MacLaughlin, Joyce R. |
| author_GND | (DE-588)139218939 |
| author_facet | Hald, Ole H. MacLaughlin, Joyce R. |
| author_role | aut aut |
| author_sort | Hald, Ole H. |
| author_variant | o h h oh ohh j r m jr jrm |
| building | Verbundindex |
| bvnumber | BV010687912 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)246282181 (DE-599)BVBBV010687912 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02212nam a2200469 cb4500</leader><controlfield tag="001">BV010687912</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230615 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960327s1996 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821804863</subfield><subfield code="9">0-8218-0486-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246282181</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010687912</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hald, Ole H.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139218939</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Inverse nodal problems</subfield><subfield code="b">finding the potential from nodal lines</subfield><subfield code="c">Ole H. Hald ; Joyce R. McLaughlin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 148 S.</subfield><subfield code="b">graph. Darst.</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">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">572</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 119, Number 572 (end of volume)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eigenwertverteilung</subfield><subfield code="0">(DE-588)4123087-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elliptische Differentialgleichung</subfield><subfield code="0">(DE-588)4014485-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Elliptische Differentialgleichung</subfield><subfield code="0">(DE-588)4014485-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Eigenwertverteilung</subfield><subfield code="0">(DE-588)4123087-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">MacLaughlin, Joyce R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">572</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">572</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=007134153&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:BVB01-007134153</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV010687912 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:57:14Z |
| institution | BVB |
| isbn | 0821804863 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007134153 |
| oclc_num | 246282181 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-824 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-824 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VII, 148 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Hald, Ole H. Verfasser (DE-588)139218939 aut Inverse nodal problems finding the potential from nodal lines Ole H. Hald ; Joyce R. McLaughlin Providence, RI American Math. Soc. 1996 VII, 148 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 572 Volume 119, Number 572 (end of volume) Eigenwertverteilung (DE-588)4123087-5 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Inverses Problem (DE-588)4125161-1 s DE-604 Elliptische Differentialgleichung (DE-588)4014485-9 s Eigenwertverteilung (DE-588)4123087-5 s 1\p DE-604 MacLaughlin, Joyce R. Verfasser aut American Mathematical Society: Memoirs of the American Mathematical Society 572 (DE-604)BV008000141 572 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007134153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hald, Ole H. MacLaughlin, Joyce R. Inverse nodal problems finding the potential from nodal lines American Mathematical Society: Memoirs of the American Mathematical Society Eigenwertverteilung (DE-588)4123087-5 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Inverses Problem (DE-588)4125161-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4123087-5 (DE-588)4014485-9 (DE-588)4125161-1 (DE-588)4044779-0 |
| title | Inverse nodal problems finding the potential from nodal lines |
| title_auth | Inverse nodal problems finding the potential from nodal lines |
| title_exact_search | Inverse nodal problems finding the potential from nodal lines |
| title_full | Inverse nodal problems finding the potential from nodal lines Ole H. Hald ; Joyce R. McLaughlin |
| title_fullStr | Inverse nodal problems finding the potential from nodal lines Ole H. Hald ; Joyce R. McLaughlin |
| title_full_unstemmed | Inverse nodal problems finding the potential from nodal lines Ole H. Hald ; Joyce R. McLaughlin |
| title_short | Inverse nodal problems |
| title_sort | inverse nodal problems finding the potential from nodal lines |
| title_sub | finding the potential from nodal lines |
| topic | Eigenwertverteilung (DE-588)4123087-5 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Inverses Problem (DE-588)4125161-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Eigenwertverteilung Elliptische Differentialgleichung Inverses Problem Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007134153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT haldoleh inversenodalproblemsfindingthepotentialfromnodallines AT maclaughlinjoycer inversenodalproblemsfindingthepotentialfromnodallines |