Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2004
|
| Series: | Memoirs of the American Mathematical Society
798 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 168, Number 798 (third of 4 numbers) Includes bibliographical references |
| Physical Description: | XV, 121 S. |
| ISBN: | 0821835092 |
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MARC
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| 245 | 1 | 0 | |a Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation |c Benoît Mselati |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2004 | |
| 300 | |a XV, 121 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 798 | |
| 500 | |a Volume 168, Number 798 (third of 4 numbers) | ||
| 500 | |a Includes bibliographical references | ||
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Record in the Search Index
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| adam_text | Contents
Introduction and statement of the results vii
Chapter 1. An analytic approach to the equation A?/ — u1 1
1.1. Parametrization near the boundary of the domain 1
1.2. Basic farts about linear elliptic PDE s 2
1.3. The equation Ah = u2 6
Chapter 2. A probabilistic approach to the equation Ai/ = it2 17
2.1. Linear elliptic PDE s and Brownian motion 17
2.2. The Brownian snake 19
2.3. Stochastic boundary values 20
2.4. Fine topology and fine trace 13
2.5. Two key problems 48
Chapter 3. Lower bounds for solutions 49
Main results proved in this chapter 49
3.1. Upper bounds for uk in terms of the boundary capacity of K 51
3.2. Lower bounds for (7 moderate solutions 74
3.3. Synthesis 80
Chapter 4. Upper bounds for solutions 85
Main results proved in this chapter 85
4.1. The case of a strongly star shaped domain 85
4.2. The case of a general domain 93
4.3. Proof of Proposition 4.1 96
Chapter 5. The classification and representation of the solutions of Aw = n2
in a domain 99
5.1. Representation of solutions 99
5.2. Admissible traces and classification results 101
Appendix A. Technical results 103
A.I. Parametrizat ion near the boundary 103
A.2. Estimates for the Green function 101
A.3. The auxiliary function p 109
A.4. Proof of Lemma 2.20 111
Appendix. Bibliography 115
Notation index 118
Subject index 120
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV017732714 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:21:17Z |
| institution | BVB |
| isbn | 0821835092 |
| language | English |
| lccn | 2003066058 |
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| physical | XV, 121 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Mselati, Benoît 1977- Verfasser (DE-588)1146506414 aut Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation Benoît Mselati Providence, R.I. American Mathematical Society 2004 XV, 121 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 798 Volume 168, Number 798 (third of 4 numbers) Includes bibliographical references Elliptische differentiaalvergelijkingen gtt Equações diferenciais parciais eliticas larpcal Processos de markov larpcal Differential equations, Elliptic Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Semilineare elliptische Differentialgleichung (DE-588)4225683-5 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 s Semilineare elliptische Differentialgleichung (DE-588)4225683-5 s DE-604 Memoirs of the American Mathematical Society 798 (DE-604)BV008000141 798 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010657902&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mselati, Benoît 1977- Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation Memoirs of the American Mathematical Society Elliptische differentiaalvergelijkingen gtt Equações diferenciais parciais eliticas larpcal Processos de markov larpcal Differential equations, Elliptic Elliptische Differentialgleichung (DE-588)4014485-9 gnd Semilineare elliptische Differentialgleichung (DE-588)4225683-5 gnd |
| subject_GND | (DE-588)4014485-9 (DE-588)4225683-5 |
| title | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation |
| title_auth | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation |
| title_exact_search | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation |
| title_full | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation Benoît Mselati |
| title_fullStr | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation Benoît Mselati |
| title_full_unstemmed | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation Benoît Mselati |
| title_short | Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation |
| title_sort | classification and probabilistic representation of the positive solutions of a semilinear elliptic equation |
| topic | Elliptische differentiaalvergelijkingen gtt Equações diferenciais parciais eliticas larpcal Processos de markov larpcal Differential equations, Elliptic Elliptische Differentialgleichung (DE-588)4014485-9 gnd Semilineare elliptische Differentialgleichung (DE-588)4225683-5 gnd |
| topic_facet | Elliptische differentiaalvergelijkingen Equações diferenciais parciais eliticas Processos de markov Differential equations, Elliptic Elliptische Differentialgleichung Semilineare elliptische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010657902&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT mselatibenoit classificationandprobabilisticrepresentationofthepositivesolutionsofasemilinearellipticequation |