Geodesic
Divergent series in the Fourier method for the wave equation
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 4, pp. 215-238 Cet article a éte moissonné depuis la source Math-Net.Ru

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Series of formal solutions of two mixed problems for the wave equation are studied by a method based on the application of divergent series in the sense of Euler. The validity of this method is proved. The method is very economical in the use of well-known mathematical facts, which opens up the prospect of significant progress in the study of boundary value problems for partial differential equations.
Keywords: Fourier method, mixed problem, wave equation, resolvent.
Mots-clés : divergent series 
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A. P. Khromov; V. V. Kornev. Divergent series in the Fourier method for the wave equation. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 4, pp. 215-238. http://geodesic.mathdoc.fr/item/TIMM_2021_27_4_a14/

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