Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence ; RI
American Mathematical Society
[2022]
|
| Series: | Memoirs of the American Mathematical Society
volume 278, number 1369 (fourth of 6 numbers) |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (Seite 71-74) |
| Physical Description: | iii, 75 Seiten |
| ISBN: | 9781470453466 |
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MARC
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| 245 | 1 | 0 | |a Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 |c Stefano Burzio ; Joachim Krieger |
| 264 | 1 | |a Providence ; RI |b American Mathematical Society |c [2022] | |
| 264 | 4 | |c © 2022 | |
| 300 | |a iii, 75 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 278, number 1369 (fourth of 6 numbers) | |
| 500 | |a Includes bibliographical references (Seite 71-74) | ||
| 700 | 1 | |a Krieger, Joachim |d 1976- |0 (DE-588)173835848 |4 aut | |
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Record in the Search Index
| _version_ | 1804184389879332864 |
|---|---|
| adam_text | Contents
Chapter 1 Introduction
1 1 The type IJ blow up solutions of [33], [32]
1 2 The effect of symmetries on the solutions of Theorem 1 1
1 3 Conditional stability of type II solutions
1 4 Spectral theory associated with the linearisation £
1 5 Description of the data perturbation in terms of the distorted Fourier
transform
1 6 Outline of the main result from [26]
1 7 Figures
Chapter 2 The main theorem and outline of the proof
2 1 The main theorem
2 2 Outline of the proof
Chapter 3 Construction of a two parameter family of approximate blow up
solutions
3 1 Step 0: the bulk term
3 2 Step 1: choice of the first correction v4
3 3 Step 2: the eı error
3 4 Step 3: choice of second correction ve
3 5 Step 4: the eg error
3 6 Step 5: inductive step
3 7 Step 6: choice of Usmooth,a, @ = 1,2
Chapter 4 Modulation theory; determination of the parameters -y; 2
4 1 Re-scalings and the distorted Fourier transform
4 2 The effect of scaling the bulk part
Chapter 5 Iterative construction of blow up solution almost matching the
perturbed initial data
5 1 Formulation of the perturbation problem on Fourier side
5 2 The proof of Theorem 5 1
5 3 Translation to original coordinate system
Chapter 6 Proof of Theorem 2 1
Chapter 7 Outlook
Bibliography
Index
Op wWnNre
il
|
| adam_txt |
Contents
Chapter 1 Introduction
1 1 The type IJ blow up solutions of [33], [32]
1 2 The effect of symmetries on the solutions of Theorem 1 1
1 3 Conditional stability of type II solutions
1 4 Spectral theory associated with the linearisation £
1 5 Description of the data perturbation in terms of the distorted Fourier
transform
1 6 Outline of the main result from [26]
1 7 Figures
Chapter 2 The main theorem and outline of the proof
2 1 The main theorem
2 2 Outline of the proof
Chapter 3 Construction of a two parameter family of approximate blow up
solutions
3 1 Step 0: the bulk term
3 2 Step 1: choice of the first correction v4
3 3 Step 2: the eı error
3 4 Step 3: choice of second correction ve
3 5 Step 4: the eg error
3 6 Step 5: inductive step
3 7 Step 6: choice of Usmooth,a, @ = 1,2
Chapter 4 Modulation theory; determination of the parameters -y; 2
4 1 Re-scalings and the distorted Fourier transform
4 2 The effect of scaling the bulk part
Chapter 5 Iterative construction of blow up solution almost matching the
perturbed initial data
5 1 Formulation of the perturbation problem on Fourier side
5 2 The proof of Theorem 5 1
5 3 Translation to original coordinate system
Chapter 6 Proof of Theorem 2 1
Chapter 7 Outlook
Bibliography
Index
Op wWnNre
il |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Burzio, Stefano 1989- Krieger, Joachim 1976- |
| author_GND | (DE-588)1214722911 (DE-588)173835848 |
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| author_role | aut aut |
| author_sort | Burzio, Stefano 1989- |
| author_variant | s b sb j k jk |
| building | Verbundindex |
| bvnumber | BV048454902 |
| ctrlnum | (OCoLC)1341588041 (DE-599)KXP1814905596 |
| format | Book |
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| id | DE-604.BV048454902 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:32:07Z |
| indexdate | 2024-07-10T09:38:34Z |
| institution | BVB |
| isbn | 9781470453466 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033832989 |
| oclc_num | 1341588041 |
| open_access_boolean | |
| owner | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| physical | iii, 75 Seiten |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Burzio, Stefano 1989- (DE-588)1214722911 aut Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 Stefano Burzio ; Joachim Krieger Providence ; RI American Mathematical Society [2022] © 2022 iii, 75 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 278, number 1369 (fourth of 6 numbers) Includes bibliographical references (Seite 71-74) Krieger, Joachim 1976- (DE-588)173835848 aut Erscheint auch als Online-Ausgabe 978-1-4704-7169-9 Memoirs of the American Mathematical Society volume 278, number 1369 (fourth of 6 numbers) (DE-604)BV008000141 1369 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033832989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Burzio, Stefano 1989- Krieger, Joachim 1976- Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 Memoirs of the American Mathematical Society |
| title | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 |
| title_auth | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 |
| title_exact_search | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 |
| title_exact_search_txtP | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 |
| title_full | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 Stefano Burzio ; Joachim Krieger |
| title_fullStr | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 Stefano Burzio ; Joachim Krieger |
| title_full_unstemmed | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 Stefano Burzio ; Joachim Krieger |
| title_short | Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 |
| title_sort | type ii blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on r3 1 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033832989&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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