Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Krejčí, Pavel. Hard implicit function theorem and small periodic solutions to partial differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 25 (1984) no. 3, pp. 519-536. http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a8/
@article{CMUC_1984_25_3_a8,
author = {Krej\v{c}{\'\i}, Pavel},
title = {Hard implicit function theorem and small periodic solutions to partial differential equations},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {519--536},
year = {1984},
volume = {25},
number = {3},
mrnumber = {775567},
zbl = {0567.35007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a8/}
}
TY - JOUR AU - Krejčí, Pavel TI - Hard implicit function theorem and small periodic solutions to partial differential equations JO - Commentationes Mathematicae Universitatis Carolinae PY - 1984 SP - 519 EP - 536 VL - 25 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a8/ LA - en ID - CMUC_1984_25_3_a8 ER -
[1] M. ALTMAN: A series of papers on nonlinear evolution equations. Nonlin. Anal., Theory, Meth., Appl. 8 (1984), No. 5, pp. 457 - 499. | MR
[2] 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. | MR | Zbl
[3] B. D. CRAVEN M. Z. NASHED: Generalized implicit function theorems when the derivative has no bounded inverse. Nonlin. Anal., Theory, Meth., Appl. 6 (1982), pp. 375-387. | MR
[4] M. R. HESTENES: Extension of the range of a differentiable function. Duke Math. J. 8 (1941), pp. 183 - 192. | MR | Zbl
[5] L. HÖRMANDER: The boundary problems of physical geodesy. Arch. Rat. Keen. Anal. 62 (1976), pp. 1 - 52. | MR
[6] S. KLAINERMAN: Global existence for nonlinear wave equations. Comm. Pure Appl. Math. 33 (1980), pp. 43 - 101. | MR | Zbl
[7] P. KREJČÍ: Periodic vibrations of the electromagnetic field in ferromagnetic media. (in Czech). Candidate thesis, Mathematical Institute of the Czechoslovak Academy of Sciences, Prague, 1984.
[8] J. MOSER: A new technique for the construction of solutions of nonlinear differential equations. Proc. Nat. Acad. Sci. 47 (1961), pp. 1824 - 1831. | MR | Zbl
[9] J. MOSER: A rapidly-convergent iteration method and nonlinear differential equations. Ann. Scuola Norm. Sup. Pisa 20-3 (1966), pp. 265 - 315, 499 - 535.
[10] J. NASH: The embedding problem for Riemannian manifolds. Ann. of Math. 63 (1956), pp. 20 - 63. | MR
[11] L. NIRENBERG: On elliptic partial differential equations. Ann. Scuola Norm. Sup. Pisa, 13 (1959), pp. 115 - 162. | MR | Zbl
[12] H. PETZELTOVÁ: Application of Moser's method to a certain type of evolution equations. Czech. Math. J. 33 (1983), pp. 427 - 434. | MR | Zbl
[13] V. PTÁK: A modification of Newton's method. Čas. Pěst. Mat. 101 (1976), pp. 188 - 194. | MR | Zbl
[14] P. H. RABINOWITZ: Periodic solutions of nonlinear hyperbolic partial differential equations II. Comm. Pure Appl. Math. 22 (1969), pp. 15 - 39. | MR | Zbl
[15] J. T. SCHWARTZ: On Nash's implicit functional theorem. Comm. Pure Appl. Math. 13 (1960), pp. 509 - 530. | MR | Zbl
[16] J. SHATAH: Global existence of small solutions to nonlinear evolution equations. J. Diff. Eq. 46 (1982), pp.409 - 425. | MR | Zbl
[17] Y. SHIBATA: 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. Funkc. Ekv. 25 (1982), pp. 303 - 345. | MR
[18] Y. SHIBATA: On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first-order dissipation in the exterior domain. Tsukuba J. Math. 7 (1983), pp. 1 - 68. | MR | Zbl