| Title:
|
Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations (English) |
| Author:
|
Feireisl, Eduard |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
514-527 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B10 |
| MSC:
|
35B15 |
| MSC:
|
35L70 |
| idZBL:
|
Zbl 0762.35066 |
| idMR:
|
MR1065031 |
| DOI:
|
10.21136/CMJ.1990.102404 |
| . |
| Date available:
|
2008-06-09T15:34:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102404 |
| . |
| Reference:
|
[1] Amerio L., Prouse G.: Almost-periodic functions and functional equations.Van Nostrand New York 1971. Zbl 0215.15701, MR 0275061 |
| Reference:
|
[2] Arosio A.: Linear second order differential equations in Hilbert spaces - the Cauchy problem and asymptotic behaviour for large time.Arch. Rational Mech. AnaI. 86 (2) (1984), pp. 147-180. Zbl 0563.35041, MR 0751306, 10.1007/BF00275732 |
| Reference:
|
[3] Kato T.: Locally coercive nonlinear equations, with applications to some periodic solutions.Duke Math. J. 51 (4) (1984), pp. 923-936. Zbl 0571.47051, MR 0771388 |
| Reference:
|
[4] Kato T.: Quasilinear equations of evolution with applications to partial differential equations.Lecture Notes in Math., Springer Berlin 1975, pp. 25 - 70. MR 0407477, 10.1007/BFb0067080 |
| Reference:
|
[5] Krejčí P.: Hard implicit function theorem and small periodic solutions to partial differential equations.Comment. Math. Univ. Carolinae 25 (1984), pp. 519-536. MR 0775567 |
| Reference:
|
[6] Lions J. L., Magenes E.: Problèmes aux limites non homogènes et applications I.Dunod Paris 1968. |
| Reference:
|
[7] Matsumura A.: Global existence and asymptotics of the second-order quasilinear hyperbolic equations with the first-order dissipation.Publ. RIMS Kyoto Univ. 13 (1977), pp. 349-379. MR 0470507, 10.2977/prims/1195189813 |
| Reference:
|
[8] Milani A.: Time periodic smooth solutions of hyperbolic quasilinear equations with dissipation term and their approximation by parabolic equations.Ann. Mat. Pura Appl. 140 (4) (1985), pp. 331-344. MR 0807643, 10.1007/BF01776855 |
| Reference:
|
[9] Petzeltová H., Štědrý M.: Time periodic solutions of telegraph equations in n spatial variables.Časopis Pěst. Mat. 109 (1984), pp. 60 - 73. MR 0741209 |
| Reference:
|
[10] Rabinowitz P. H.: Periodic solutions of nonlinear hyperbolic partial differential equations II.Comm. Pure Appl. Math. 22 (1969), pp. Î5-39. Zbl 0157.17301, MR 0236504, 10.1002/cpa.3160220103 |
| Reference:
|
[11] Shibata Y.: On the global existence of classical solutions of mixed problem for some second order non-linear hyperbolic operators with dissipative term in the interior domain.Funkcialaj Ekvacioj 25 (1982), pp. 303-345. MR 0707564 |
| Reference:
|
[12] Shibata Y., Tsutsumi Y.: Local existence of solution for the initial boundary value problem of fully nonlinear wave equation.Nonlinear Anal. 11 (3) 1987, pp. 335-365. Zbl 0651.35053, MR 0881723, 10.1016/0362-546X(87)90051-4 |
| Reference:
|
[13] Štědrý M.: Small time-periodic solutions to fully nonlinear telegraph equations in more spatial dimensions.Ann. Inst. Henri Poincaré 6 (3) (1989), pp. 209-232. MR 0995505, 10.1016/S0294-1449(16)30323-7 |
| Reference:
|
[14] Vejvoda O., al.: Partial differential equations: Time periodic solutions.Martinus Nijhoff PubI. 1982. Zbl 0501.35001 |
| . |
