Fourier problem with bounded Baire data
Mathematica Bohemica, Tome 122 (1997) no. 4, pp. 405-441

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.
The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.
DOI : 10.21136/MB.1997.126211
Classification : 31A10, 31A20, 31A25, 35C10, 35K05, 35R35, 47A10, 47B38
Keywords: heat equation; boundary value problem; heat potential; density
Dont, Miroslav. Fourier problem with bounded Baire data. Mathematica Bohemica, Tome 122 (1997) no. 4, pp. 405-441. doi: 10.21136/MB.1997.126211
@article{10_21136_MB_1997_126211,
     author = {Dont, Miroslav},
     title = {Fourier problem with bounded {Baire} data},
     journal = {Mathematica Bohemica},
     pages = {405--441},
     year = {1997},
     volume = {122},
     number = {4},
     doi = {10.21136/MB.1997.126211},
     mrnumber = {1489402},
     zbl = {0898.31004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126211/}
}
TY  - JOUR
AU  - Dont, Miroslav
TI  - Fourier problem with bounded Baire data
JO  - Mathematica Bohemica
PY  - 1997
SP  - 405
EP  - 441
VL  - 122
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126211/
DO  - 10.21136/MB.1997.126211
LA  - en
ID  - 10_21136_MB_1997_126211
ER  - 
%0 Journal Article
%A Dont, Miroslav
%T Fourier problem with bounded Baire data
%J Mathematica Bohemica
%D 1997
%P 405-441
%V 122
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1997.126211/
%R 10.21136/MB.1997.126211
%G en
%F 10_21136_MB_1997_126211

[1] M. Dont: On a heat potential. Czechoslovak Math. J. 25 (1975), 84-109. | MR | Zbl

[2] M. Dont: On a boundary value problem for the heat equation. Czechoslovak Math. J. 25 (1975), 110-133. | MR | Zbl

[3] M. Dont: A note on a heat potential and the parabolic variation. Časopis Pěst. Mat. 101 (1976), 28-44. | MR | Zbl

[4] J. Král: Teoгie potenciálu I. SPN, Praha, 1965.

[5] D. Medková: On the convergence of Neumann series for noncompact operator. Czechoslovak Math. J. 116 (1991), 312-316. | MR

[6] I. Netuka: Double layer potential and the Dirichlet problem. Czechoslovak Math. J. 24 (1974), 59-73. | MR

[7] W. L. Wendland: Boundary element methods and their asymptotic convergence. Lecture Notes of the CISM Summer-School on Theoгetical acoustic and numerical techniques, Int. Centre Mech. Sci., Udine (P. Filippi, ed.). Springer-Verlag, Wien, New York, 1983, pp. 137-216. | MR | Zbl

Cité par Sources :