| Title:
|
Periodic solutions to Maxwell equations in nonlinear media (English) |
| Author:
|
Krejčí, Pavel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
1986 |
| Pages:
|
238-258 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B10 |
| MSC:
|
35L60 |
| MSC:
|
35Q20 |
| MSC:
|
78A25 |
| idZBL:
|
Zbl 0614.35014 |
| idMR:
|
MR831312 |
| DOI:
|
10.21136/CMJ.1986.102088 |
| . |
| Date available:
|
2008-06-09T15:10:22Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102088 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] W. Craig: A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations.Ann. Scuola Norm. Sup. Pisa, ser. IV, vol. X (1983), pp. 125-168. Zbl 0518.35057, MR 0713113 |
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[9] P. Krejčí: Periodic vibrations of the electromagnetic field in ferromagnetic media.Thesis, Mathematical Institute of the Czechoslovak Academy of Sciences, Praha 1984 (Czech). |
| Reference:
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[10] P. Krejčí: Hard implicit function theorem and small periodic solutions to partial differential equations.Comm. Math. Univ. Carolinae 25 (3), 1984, pp. 519-536. MR 0775567 |
| Reference:
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[11] O. А. Ladyzhenskaya V. А. Solonnikov: On the linearization principle and invariant manifolds for problems in magnetohydrodynamics. In "Boundary value problems of mathematical physics and related problems of function theory 7.".Zap. Nautch. Sem. LOMI 38 (1973), pp. 46-93 (Russian). MR 0377310 |
| Reference:
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[13] A. Matsumura: Global existence and asymptotics of the solutions of the second order quasilinear hyperbolic equations with the first order dissipation.Publ. R.I.M.S., Kyotov Univ., 13 (1977), pp. 349-379. Zbl 0371.35030, MR 0470507, 10.1007/BF01765154 |
| Reference:
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[14] A. Milani: Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain.Ann. Mat. Рurа Appl. (4) 131 (1982), pp. 233 - 254. Zbl 0498.35077, MR 0681565, 10.1073/pnas.47.11.1824 |
| Reference:
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[15] J. Moser: A new technique for the construction of solutions of nonlinear differential equations.Proc. Nat. Acad. Sci. 47 (1961), pp. 1824-1831. Zbl 0104.30503, MR 0132859 |
| Reference:
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| Reference:
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| . |
