Geodesic
A Note on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity
Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 45-47

Voir la notice de l'article provenant de la source Cambridge University Press

In recent years interest in the mixed boundary value problems of mathematical physics has increased appreciably because of various applications. The mixed boundary value problems for simply-connected regions have been investigated widely and it can reasonably be hoped that within a short time the theory will reach a satisfactory stage. It appears, however, that very few problems for multiply-connected domains have been solved. Recently Srivastav [2] has considered the problem of rinding an axisymmetric potential function for a half space with a cylindrical cavity subject to mixed type boundary conditions. In a subsequent paper [1], Srivastav extends the analysis to the asymmetric problem and formulates the problem in terms of dual integral equations involving Bessel functions of the first and second kinds whose solution leads to the solution of the potential problem. The latter paper, however, involves heavy manipulations and complicated contour integrals. 
Narain, Prem. A Note on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity. Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 45-47. doi: 10.1017/S2040618500035176
@article{10_1017_S2040618500035176,
     author = {Narain, Prem},
     title = {A {Note} on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity},
     journal = {Glasgow mathematical journal},
     pages = {45--47},
     year = {1965},
     volume = {7},
     number = {1},
     doi = {10.1017/S2040618500035176},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035176/}
}
TY  - JOUR
AU  - Narain, Prem
TI  - A Note on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity
JO  - Glasgow mathematical journal
PY  - 1965
SP  - 45
EP  - 47
VL  - 7
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035176/
DO  - 10.1017/S2040618500035176
ID  - 10_1017_S2040618500035176
ER  - 
%0 Journal Article
%A Narain, Prem
%T A Note on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity
%J Glasgow mathematical journal
%D 1965
%P 45-47
%V 7
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035176/
%R 10.1017/S2040618500035176
%F 10_1017_S2040618500035176

[1] 1.Srivastav, R. P., A pair of dual integral equations involving Bessel functions of first kind and second kind, Proc. Edinburgh Math. Soc. (to be published). Google Scholar

[2] 2.Srivastav, R. P., An axisymmetric mixed boundary value problem for a half-space with a cylindrical cavity, J. Math. Mech. 13 (1964), 385–393. Google Scholar

[3] 3.Sneddon, I. N., A note on an electrified disk inside an earthed cylinder, Proc. Cambridge Philos. Soc. 58 (1962), 621–624. Google Scholar | DOI

[4] 4.Erdélyi, A. et al. , Tables of integral transforms, Vol. II (New York, 1964). Google Scholar

Cité par Sources :