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Fečkan, Michal
A certain type of partial differential equations on tori. (English). Mathematica Bohemica, vol. 117 (1992), issue 4, pp. 365-372
MSC: 34B15, 35B10, 35B25, 47N20 | MR 1197286 | Zbl 0795.35004 | DOI: 10.21136/MB.1992.126061
Keywords:
averaging; singularly perturbed equations on tori; Banach fixed point theorem
Summary:
The existence of classical solutions for some partial differential equations on tori is shown.
References:
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[2] T. Kato: Locally coercive nonlinear equations, with applications to some periodic solutions. Duke Math. Journal 51 (1984), 923-936. MR 0771388 | Zbl 0571.47051
[3] J. Moser: A rapidly convergent iteration method and nonlinear partial differential equations, I. Ann. Scuola Norm. Sup. Pisa 20(1966), 226-315.
[4] P. Rabinowitz: A rapid convergence method for a singular perturbation problem. Ann. Inst. H. Poincaré, Ana. Nonlinéaire 1 (1984), 1-17. DOI 10.1016/S0294-1449(16)30431-0 | MR 0738493 | Zbl 0547.35047
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