|
Existence of a countable set of periodic, spherically symmetric solutions of a nonlinear wave equation
I. A. Kuzin
Abstract:
Under suitable conditions countable solvability of the problem $-u_{tt}+\Delta u-g(u,r,t)=h(r,t)$ in $B_\pi$, $u(x,t)=u(x,t+T)$, $T>0$, $u(\partial B_\pi,t)=0$, where $B_\pi\subset\mathbf R^N$ is a ball of radius $\pi$, is proved.
Received: 19.12.1989
Citation:
I. A. Kuzin, “Existence of a countable set of periodic, spherically symmetric solutions of a nonlinear wave equation”, Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991), 110–133; Math. USSR-Izv., 38:1 (1992), 107–129
Linking options:
https://www.mathnet.ru/eng/im1028https://doi.org/10.1070/IM1992v038n01ABEH002189 https://www.mathnet.ru/eng/im/v55/i1/p110
|
Statistics & downloads: |
Abstract page: | 379 | Russian version PDF: | 111 | English version PDF: | 13 | References: | 83 | First page: | 1 |
|