Fourier problem with bounded Baire data

Miroslav Dont

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 4, page 405-441
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Dont, Miroslav. "Fourier problem with bounded Baire data." Mathematica Bohemica 122.4 (1997): 405-441. <http://eudml.org/doc/248146>.

@article{Dont1997,
abstract = {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.},
author = {Dont, Miroslav},
journal = {Mathematica Bohemica},
keywords = {heat equation; boundary value problem; heat potential; density; heat equation; boundary value problem; heat potential; density},
language = {eng},
number = {4},
pages = {405-441},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fourier problem with bounded Baire data},
url = {http://eudml.org/doc/248146},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Dont, Miroslav
TI - Fourier problem with bounded Baire data
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 4
SP - 405
EP - 441
AB - 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.
LA - eng
KW - heat equation; boundary value problem; heat potential; density; heat equation; boundary value problem; heat potential; density
UR - http://eudml.org/doc/248146
ER -

References

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  1. M. Dont, On a heat potential, Czechoslovak Math. J. 25 (1975), 84-109. (1975) Zbl0304.35051MR0369918
  2. M. Dont, On a boundary value problem for the heat equation, Czechoslovak Math. J. 25 (1975), 110-133. (1975) Zbl0304.35052MR0369919
  3. M. Dont, A note on a heat potential and the parabolic variation, Časopis Pěst. Mat. 101 (1976), 28-44. (1976) Zbl0325.35043MR0473536
  4. J. Král, Teoгie potenciálu I, SPN, Praha, 1965. (1965) 
  5. D. Medková, On the convergence of Neumann series for noncompact operator, Czechoslovak Math. J. 116 (1991), 312-316. (1991) MR1105448
  6. I. Netuka, Double layer potential and the Dirichlet problem, Czechoslovak Math. J. 24 (1974), 59-73. (1974) MR0348127
  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. (1983) Zbl0618.65109MR0762829

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