The degenerate oblique derivative problem for elliptic and parabolic equations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad.-Verl.
1997
|
| Edition: | 1. ed. |
| Series: | Mathematical research
93 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 153 S. graph. Darst. |
| ISBN: | 3055017579 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011118003 | ||
| 003 | DE-604 | ||
| 005 | 20181130 | ||
| 007 | t | ||
| 008 | 961209s1997 gw d||| |||| 00||| eng d | ||
| 016 | 7 | |a 949260231 |2 DE-101 | |
| 020 | |a 3055017579 |c Pb. : DM 78.00, sfr 70.00, S 569.00 |9 3-05-501757-9 | ||
| 035 | |a (OCoLC)36586327 | ||
| 035 | |a (DE-599)BVBBV011118003 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-12 |a DE-91G |a DE-703 |a DE-824 |a DE-706 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA329.42 | |
| 082 | 0 | |a 515/.7242 |2 21 | |
| 084 | |a SK 560 |0 (DE-625)143246: |2 rvk | ||
| 084 | |a 35J70 |2 msc | ||
| 084 | |a MAT 355f |2 stub | ||
| 084 | |a 35K65 |2 msc | ||
| 084 | |a MAT 356f |2 stub | ||
| 100 | 1 | |a Popivanov, Petăr R. |d 1946- |e Verfasser |0 (DE-588)1026818737 |4 aut | |
| 245 | 1 | 0 | |a The degenerate oblique derivative problem for elliptic and parabolic equations |c Peter R. Popivanov ; Dian K. Palagachev |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1997 | |
| 300 | |a 153 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical research |v 93 | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Elliptic operators | |
| 650 | 4 | |a Parabolic operators | |
| 650 | 0 | 7 | |a Schiefe Ableitung |0 (DE-588)4298289-3 |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 Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |D s |
| 689 | 0 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 2 | |a Schiefe Ableitung |0 (DE-588)4298289-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |D s |
| 689 | 1 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 1 | 2 | |a Schiefe Ableitung |0 (DE-588)4298289-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Palagačev, Dian K. |e Verfasser |0 (DE-588)1116975548 |4 aut | |
| 830 | 0 | |a Mathematical research |v 93 |w (DE-604)BV000008585 |9 93 | |
| 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=007450270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007450270 | ||
Record in the Search Index
| _version_ | 1804125610695458816 |
|---|---|
| adam_text | Contents
Introduction 9
Chapter 1. Survey on the Degenerate Oblique Derivative Problem for
Second Order Elliptic and Parabolic Operators 13
1.1. Some Examples and Preliminary Notes 13
1.2. Degenerate Oblique Derivative Problem in Holder, Sobolev and W
Besov Sobolev Spaces 32
1.2.1. The Elliptic Case 32
1.2.2. The Parabolic Case 62
1.2.3. The Hyperbolic Case 66
Chapter 2. Tangential Oblique Derivative Problem for Quasilinear El¬
liptic Equations 69
2.1. Some Preliminaries 69
2.2. Degenerate Problem with Sub Quadratic Gradient Growth 73
2.3. Degenerate Problem with Quadratic Gradient Growth 78
2.3.1. A Priori Estimate for |u|Q n 81
2.3.2. A Priori Estimate for ||D«||i2,(n), ? n 81
2.3.3. Proof of Theorem 2.3.3 85
Chapter 3. Tangential Oblique Derivative Problem for Second Order
Parabolic Equations 87
3.1. Auxiliary Results 87
3.1.1. Basic Notations and Definitions 87
3.1.2. A Priori Estimates for Linear Parabolic Equations 90
3.1.3. Comparison Principles for Parabolic Operators 93
3.2. Tangential Problem with Vector Field of Neutral Type 95
3.2.1. Statement of the Problem and Main Results 95
3.2.2. Geometric Constructions 98
3.2.3. Solvability of the Linear Problem (3.7) 102
3.2.4. Proof of Theorem 3.2.3 109
3.2.5. Concluding Remarks 115
8 Contents
3.3. Tangential Problem for Emergent Type Vector Field 117
3.3.1. Linear Tangential Problem — a Special Case 117
3.3.2. Linear Tangential Problem — the General Case 132
3.3.3. Semilinear Degenerate Problem 138
3.3.4. Concluding Remarks 141
Bibliography 145
Index 151
Functional Spaces and Their Respective Norms 153
|
| any_adam_object | 1 |
| author | Popivanov, Petăr R. 1946- Palagačev, Dian K. |
| author_GND | (DE-588)1026818737 (DE-588)1116975548 |
| author_facet | Popivanov, Petăr R. 1946- Palagačev, Dian K. |
| author_role | aut aut |
| author_sort | Popivanov, Petăr R. 1946- |
| author_variant | p r p pr prp d k p dk dkp |
| building | Verbundindex |
| bvnumber | BV011118003 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.42 |
| callnumber-search | QA329.42 |
| callnumber-sort | QA 3329.42 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 560 |
| classification_tum | MAT 355f MAT 356f |
| ctrlnum | (OCoLC)36586327 (DE-599)BVBBV011118003 |
| dewey-full | 515/.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02438nam a2200601 cb4500</leader><controlfield tag="001">BV011118003</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181130 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">961209s1997 gw d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">949260231</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3055017579</subfield><subfield code="c">Pb. : DM 78.00, sfr 70.00, S 569.00</subfield><subfield code="9">3-05-501757-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)36586327</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011118003</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA329.42</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.7242</subfield><subfield code="2">21</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">35J70</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 355f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35K65</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="100" ind1="1" ind2=" "><subfield code="a">Popivanov, Petăr R.</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1026818737</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The degenerate oblique derivative problem for elliptic and parabolic equations</subfield><subfield code="c">Peter R. Popivanov ; Dian K. Palagachev</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Akad.-Verl.</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">153 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">Mathematical research</subfield><subfield code="v">93</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Elliptic operators</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Parabolic operators</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schiefe Ableitung</subfield><subfield code="0">(DE-588)4298289-3</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">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</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="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">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Schiefe Ableitung</subfield><subfield code="0">(DE-588)4298289-3</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">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Schiefe Ableitung</subfield><subfield code="0">(DE-588)4298289-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Palagačev, Dian K.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1116975548</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical research</subfield><subfield code="v">93</subfield><subfield code="w">(DE-604)BV000008585</subfield><subfield code="9">93</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=007450270&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:BVB01-007450270</subfield></datafield></record></collection> |
| id | DE-604.BV011118003 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:04:18Z |
| institution | BVB |
| isbn | 3055017579 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007450270 |
| oclc_num | 36586327 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-703 DE-824 DE-706 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-703 DE-824 DE-706 DE-83 DE-11 DE-188 |
| physical | 153 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Popivanov, Petăr R. 1946- Verfasser (DE-588)1026818737 aut The degenerate oblique derivative problem for elliptic and parabolic equations Peter R. Popivanov ; Dian K. Palagachev 1. ed. Berlin Akad.-Verl. 1997 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical research 93 Boundary value problems Elliptic operators Parabolic operators Schiefe Ableitung (DE-588)4298289-3 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s Randwertproblem (DE-588)4048395-2 s Schiefe Ableitung (DE-588)4298289-3 s DE-604 Elliptische Differentialgleichung (DE-588)4014485-9 s Palagačev, Dian K. Verfasser (DE-588)1116975548 aut Mathematical research 93 (DE-604)BV000008585 93 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007450270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Popivanov, Petăr R. 1946- Palagačev, Dian K. The degenerate oblique derivative problem for elliptic and parabolic equations Mathematical research Boundary value problems Elliptic operators Parabolic operators Schiefe Ableitung (DE-588)4298289-3 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Randwertproblem (DE-588)4048395-2 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4298289-3 (DE-588)4014485-9 (DE-588)4048395-2 (DE-588)4173245-5 |
| title | The degenerate oblique derivative problem for elliptic and parabolic equations |
| title_auth | The degenerate oblique derivative problem for elliptic and parabolic equations |
| title_exact_search | The degenerate oblique derivative problem for elliptic and parabolic equations |
| title_full | The degenerate oblique derivative problem for elliptic and parabolic equations Peter R. Popivanov ; Dian K. Palagachev |
| title_fullStr | The degenerate oblique derivative problem for elliptic and parabolic equations Peter R. Popivanov ; Dian K. Palagachev |
| title_full_unstemmed | The degenerate oblique derivative problem for elliptic and parabolic equations Peter R. Popivanov ; Dian K. Palagachev |
| title_short | The degenerate oblique derivative problem for elliptic and parabolic equations |
| title_sort | the degenerate oblique derivative problem for elliptic and parabolic equations |
| topic | Boundary value problems Elliptic operators Parabolic operators Schiefe Ableitung (DE-588)4298289-3 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Randwertproblem (DE-588)4048395-2 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Boundary value problems Elliptic operators Parabolic operators Schiefe Ableitung Elliptische Differentialgleichung Randwertproblem Parabolische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007450270&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008585 |
| work_keys_str_mv | AT popivanovpetarr thedegenerateobliquederivativeproblemforellipticandparabolicequations AT palagacevdiank thedegenerateobliquederivativeproblemforellipticandparabolicequations |