Article
MSC:
31A10,
31A20,
31A25,
35C10,
35K05,
35R35,
47A10,
47B38 | MR 1489402 | Zbl 0898.31004 | DOI: 10.21136/MB.1997.126211
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Keywords:
heat equation; boundary value problem; heat potential; density
heat equation; boundary value problem; heat potential; density
Summary:
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.
References:
[1] M. Dont: On a heat potential. Czechoslovak Math. J. 25 (1975), 84-109. MR 0369918 | Zbl 0304.35051
[2] M. Dont: On a boundary value problem for the heat equation. Czechoslovak Math. J. 25 (1975), 110-133. MR 0369919 | Zbl 0304.35052
[3] M. Dont: A note on a heat potential and the parabolic variation. Časopis Pěst. Mat. 101 (1976), 28-44. MR 0473536 | Zbl 0325.35043
[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 1105448
[6] I. Netuka: Double layer potential and the Dirichlet problem. Czechoslovak Math. J. 24 (1974), 59-73. MR 0348127
[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 0762829 | Zbl 0618.65109
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