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

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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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     author = {A. P. Khromov and V. V. Kornev},
     title = {Divergent series in the {Fourier} method for the wave equation},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {215--238},
     publisher = {mathdoc},
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     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2021_27_4_a14/}
}
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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/