Stability of spherically symmetric wave maps
著者
書誌事項
Stability of spherically symmetric wave maps
（Memoirs of the American Mathematical Society, no. 853）
American Mathematical Society, 2006
大学図書館所蔵 全13件
注記
"Volume 181, number 853 (second of 5 numbers)"
Includes bibliographical references (p. 79-80)
内容説明・目次
内容説明
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.
目次
- Introduction, controlling spherically symmetric wave maps Technical preliminaries. Proofs of main theorems The proof of Proposition
- 2.2 Proof of theorem
- 2.3 Bibliography.
「Nielsen BookData」 より