A note on the parabolic variation
Mathematica Bohemica (2000)
- Volume: 125, Issue: 3, page 257-268
- ISSN: 0862-7959
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topDont, Miroslav. "A note on the parabolic variation." Mathematica Bohemica 125.3 (2000): 257-268. <http://eudml.org/doc/248671>.
@article{Dont2000,
abstract = {A condition for solvability of an integral equation which is connected with the first boundary value problem for the heat equation is investigated. It is shown that if this condition is fulfilled then the boundary considered is $\frac\{1\}\{2\}$-Holder. Further, some simple concrete examples are examined.},
author = {Dont, Miroslav},
journal = {Mathematica Bohemica},
keywords = {boundary value problem for the heat equation; integral equation; heat equation; boundary value problem; parabolic variation; boundary value problem for the heat equation; integral equation},
language = {eng},
number = {3},
pages = {257-268},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the parabolic variation},
url = {http://eudml.org/doc/248671},
volume = {125},
year = {2000},
}
TY - JOUR
AU - Dont, Miroslav
TI - A note on the parabolic variation
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 3
SP - 257
EP - 268
AB - A condition for solvability of an integral equation which is connected with the first boundary value problem for the heat equation is investigated. It is shown that if this condition is fulfilled then the boundary considered is $\frac{1}{2}$-Holder. Further, some simple concrete examples are examined.
LA - eng
KW - boundary value problem for the heat equation; integral equation; heat equation; boundary value problem; parabolic variation; boundary value problem for the heat equation; integral equation
UR - http://eudml.org/doc/248671
ER -
References
top- M. Dont, Fourier problem with bounded Baire data, Math. Bohem. 22 (1997), 405-441. (1997) Zbl0898.31004MR1489402
- M. Dont, On a heat potential, Czechoslovak Math. J. 25 (1975), 84-109. (1975) Zbl0304.35051MR0369918
- M. Dont, A note on a heat potential and the parabolic variation, Čas. Pӗst. Mat. 101 (1976), 28-44. (1976) Zbl0325.35043MR0473536
- J. Král, Teorie potenciálu I, SPN, Praha, 1965. (1965)
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