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Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 1, Pages 107–129
DOI: https://doi.org/10.1070/IM1992v038n01ABEH002189
(Mi im1028)
 

Existence of a countable set of periodic, spherically symmetric solutions of a nonlinear wave equation

I. A. Kuzin
References:
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1991, Volume 55, Issue 1, Pages 110–133
Bibliographic databases:
UDC: 517.95
MSC: 35L05, 35L70
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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\by I.~A.~Kuzin
\paper Existence of a countable set of periodic, spherically symmetric solutions of a~nonlinear wave equation
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1991
\vol 55
\issue 1
\pages 110--133
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\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 1
\pages 107--129
\crossref{https://doi.org/10.1070/IM1992v038n01ABEH002189}
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  • https://doi.org/10.1070/IM1992v038n01ABEH002189
  • https://www.mathnet.ru/eng/im/v55/i1/p110
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    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:379
    Russian version PDF:111
    English version PDF:13
    References:83
    First page:1
     
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