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Stability of spherically symmetric wave maps /
We study Wave Maps from ${\mathbf{R}} {2+1}$ to the hyperbolic plane ${\mathbf{H}} {2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H {1+\mu}$, $\mu>0$. We show that such Wave Maps don't develop singularities...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2006.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 853. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Krieger, Joachim, |d 1976- |1 https://id.oclc.org/worldcat/entity/E39PBJyGQvjJ6WYJXgp78HpkjC | |
| 245 | 1 | 0 | |a Stability of spherically symmetric wave maps / |c Joachim Krieger. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2006. | ||
| 300 | |a 1 online resource (vii, 80 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 853 | |
| 500 | |a "Volume 181, number 853 (second of 5 numbers)." | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t 1. Introduction, controlling spherically symmetric wave maps |t 2. Technical preliminaries. Proofs of main theorems |t 3. The proof of Proposition 2.2 |t 4. Proof of Theorem 2.3. |
| 520 | |a We study Wave Maps from ${\mathbf{R}} {2+1}$ to the hyperbolic plane ${\mathbf{H}} {2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H {1+\mu}$, $\mu>0$. We show that such Wave Maps don't develop singularities in finite time and stay close to the Wave Map extending the spherically symmetric data(whose existence is ensured by a theorem of Christodoulou-Tahvildar-Zadeh) with respect to all $H {1+\delta}, \delta\less\mu_{0}$ for suitable $\mu_{0}(\mu)>0$. We obtain a similar result for Wave Maps whose initial data are close to geodesic ones. This strengthens a theorem of Sideris for this context. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Wave equation. | |
| 650 | 0 | |a Differential equations, Parabolic. | |
| 650 | 6 | |a Équations d'onde. | |
| 650 | 6 | |a Équations différentielles paraboliques. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Parabolic |2 fast | |
| 650 | 7 | |a Wave equation |2 fast | |
| 650 | 7 | |a Wellengleichung |2 gnd | |
| 650 | 1 | 7 | |a Parabolische differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Golfmechanica. |2 gtt |
| 650 | 7 | |a Análise matemática. |2 larpcal | |
| 650 | 7 | |a Análise harmônica. |2 larpcal | |
| 776 | 0 | 8 | |i Print version: |a Krieger, Joachim, 1976- |t Stability of spherically symmetric wave maps / |x 0065-9266 |z 9780821838778 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 853. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114155 |z Texto completo |
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