Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Kornev V. V., Khromov A. P. Resolvent Approach to Fourier Method in a Mixed Problem for Non-homogeneous Wave Equation. Izv. Sarat. Univ. Math. Mech. Inform., 2016, vol. 16, iss. 4, pp. 403-413. DOI: 10.18500/1816-9791-2016-16-4-403-413

Published online: 
14.11.2016
Full text:
(downloads: 48)
Language: 
Russian
Heading: 
UDC: 
517.95; 517.984
DOI: 
10.18500/1816-9791-2016-16-4-403-413

Resolvent Approach to Fourier Method in a Mixed Problem for Non-homogeneous Wave Equation

Autors: 
Kornev Vladimir Victorovich, Saratov State University
Khromov Avgust Petrovich, Saratov State University
Abstract: 

Fourier method of obtaining classic solution is being justified in a mixed problem for non-homogeneous wave equation with a complex potential and fixed boundary conditions under minimal conditions on initial data. The proof is based on resolvent approach which does not need any information on eigen and associated functions of the corresponding spectral problem. 

References: 
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