On the stability of type I blow up for the energy super critical heat equation:
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2019]
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| Series: | Memoirs of the American Mathematical Society
volume 260, number 1255 (fourth of 5 numbers) |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 97 Seiten Illustrationen |
| ISBN: | 9781470436261 |
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| 100 | 1 | |a Collot, Charles |d 1990- |0 (DE-588)1156283280 |4 aut | |
| 245 | 1 | 0 | |a On the stability of type I blow up for the energy super critical heat equation |c Charles Collot, Pierre Raphaël, Jeremie Szeftel |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2019] | |
| 264 | 4 | |c © 2019 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 260, number 1255 (fourth of 5 numbers) | |
| 700 | 1 | |a Raphaël, Pierre |d 1975 |0 (DE-588)1025834593 |4 aut | |
| 700 | 1 | |a Szeftel, Jérémie |d 1977- |0 (DE-588)1167946383 |4 aut | |
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Record in the Search Index
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| adam_text | Contents Chapter 1. Introduction 1.1. Setting of the problem 1.2. Type I and type II blow up 1.3. Statement of the result Acknowledgments Notations Organization of the paper 1 1 1 3 6 6 8 Chapter 2. Construction of self-similar profiles 2.1. Exterior solutions 2.2. Constructing interior self-similar solutions 2.3. The matching 9 9 17 23 Chapter 3. Spectral gap in weighted norms 3.1. Decomposition in spherical harmonics 3.2. Linear ODE analysis 3.3. Perturbative spectral analysis 3.4. Proof of Proposition 3.1 35 36 37 40 43 Chapter 4. Dynamical control of the flow 4.1. Setting of the bootstrap 4.2. L°° bound 4.3. Modulation equations 4.4. Energy estimates with exponential weights 4.5. Outer global H2 bound 4.6. Control of the critical norm 4.7. Conclusion 4.8. The Lipschitz dependence 51 51 55 56 57 60 62 65 69 Appendix A. Coercivity estimates 75 Appendix B. Proof of (4.43) 79 Appendix C. Proof of Lemma 3.2 81 Appendix D. Proof of Lemma 3.3 91 Bibliography 95 ІІІ
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| author | Collot, Charles 1990- Raphaël, Pierre 1975 Szeftel, Jérémie 1977- |
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| id | DE-604.BV046180218 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:37:28Z |
| institution | BVB |
| isbn | 9781470436261 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031559765 |
| oclc_num | 1121486663 |
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| physical | v, 97 Seiten Illustrationen |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Collot, Charles 1990- (DE-588)1156283280 aut On the stability of type I blow up for the energy super critical heat equation Charles Collot, Pierre Raphaël, Jeremie Szeftel Providence, Rhode Island American Mathematical Society [2019] © 2019 v, 97 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 260, number 1255 (fourth of 5 numbers) Raphaël, Pierre 1975 (DE-588)1025834593 aut Szeftel, Jérémie 1977- (DE-588)1167946383 aut Memoirs of the American Mathematical Society volume 260, number 1255 (fourth of 5 numbers) (DE-604)BV008000141 1255 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031559765&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Collot, Charles 1990- Raphaël, Pierre 1975 Szeftel, Jérémie 1977- On the stability of type I blow up for the energy super critical heat equation Memoirs of the American Mathematical Society |
| title | On the stability of type I blow up for the energy super critical heat equation |
| title_auth | On the stability of type I blow up for the energy super critical heat equation |
| title_exact_search | On the stability of type I blow up for the energy super critical heat equation |
| title_full | On the stability of type I blow up for the energy super critical heat equation Charles Collot, Pierre Raphaël, Jeremie Szeftel |
| title_fullStr | On the stability of type I blow up for the energy super critical heat equation Charles Collot, Pierre Raphaël, Jeremie Szeftel |
| title_full_unstemmed | On the stability of type I blow up for the energy super critical heat equation Charles Collot, Pierre Raphaël, Jeremie Szeftel |
| title_short | On the stability of type I blow up for the energy super critical heat equation |
| title_sort | on the stability of type i blow up for the energy super critical heat equation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031559765&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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