Geodesic
Formula of Kirchhoff type for mixed problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2021), pp. 3-10

Voir la notice de l'article provenant de la source Math-Net.Ru

The initial-boundary value problem for the wave equation is considered in three-dimensional half-space. The environment oscillation process is initiated by the initial data and the boundary mode. The theorem is proved for existence and uniqueness of the solution which is presented in the form of the generalized Kirchhoff formula. This work can be considered as a generalization of the classical result for equations of oscillations of a semi-bounded string to the three-dimensional case.
Keywords: wave equation, Cauchy problem, formula Kirchhoff, Duhamel integral. 
@article{IVM_2021_6_a0,
     author = {D. S. Anikonov and D. S. Konovalova},
     title = {Formula of {Kirchhoff} type for mixed problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_6_a0/}
}
TY  - JOUR
AU  - D. S. Anikonov
AU  - D. S. Konovalova
TI  - Formula of Kirchhoff type for mixed problem
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2021
SP  - 3
EP  - 10
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2021_6_a0/
LA  - ru
ID  - IVM_2021_6_a0
ER  - 
%0 Journal Article
%A D. S. Anikonov
%A D. S. Konovalova
%T Formula of Kirchhoff type for mixed problem
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2021
%P 3-10
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2021_6_a0/
%G ru
%F IVM_2021_6_a0
D. S. Anikonov; D. S. Konovalova. Formula of Kirchhoff type for mixed problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2021), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2021_6_a0/