Geodesic
A certain type of partial differential equations on tori
Mathematica Bohemica, Tome 117 (1992) no. 4, pp. 365-372
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The existence of classical solutions for some partial differential equations on tori is shown.
The existence of classical solutions for some partial differential equations on tori is shown.
DOI : 10.21136/MB.1992.126061
Classification : 34B15, 35B10, 35B25, 47N20
Keywords: averaging; singularly perturbed equations on tori; Banach fixed point theorem 
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Fečkan, Michal. A certain type of partial differential equations on tori. Mathematica Bohemica, Tome 117 (1992) no. 4, pp. 365-372. doi: 10.21136/MB.1992.126061

[1] A. C. Lazer P. J. McKenna: A symmetry theorem and applications to nonlinear differential equations. Journal of Diff. Equa. 72 (1988), 95-106. | DOI | MR

[2] T. Kato: Locally coercive nonlinear equations, with applications to some periodic solutions. Duke Math. Journal 51 (1984), 923-936. | MR | Zbl

[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 | MR | Zbl

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