Explicit Formula for the Gradient of a Harmonic Function from Its Analytic Cauchy Data on the Analytic Curve
Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 141-143
Cet article a éte moissonné depuis la source Math-Net.Ru
Keywords:
harmonic function, gradient of a harmonic function, Cauchy problem, analytic curve, $2\pi$-periodic function, Grad–Shafranov equation.
Mots-clés : Laplace equation
Mots-clés : Laplace equation
@article{MZM_2010_87_1_a16,
author = {A. S. Demidov and D. A. Platuschikhin},
title = {Explicit {Formula} for the {Gradient} of a {Harmonic} {Function} from {Its} {Analytic} {Cauchy} {Data} on the {Analytic} {Curve}},
journal = {Matemati\v{c}eskie zametki},
pages = {141--143},
year = {2010},
volume = {87},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a16/}
}
TY - JOUR AU - A. S. Demidov AU - D. A. Platuschikhin TI - Explicit Formula for the Gradient of a Harmonic Function from Its Analytic Cauchy Data on the Analytic Curve JO - Matematičeskie zametki PY - 2010 SP - 141 EP - 143 VL - 87 IS - 1 UR - http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a16/ LA - ru ID - MZM_2010_87_1_a16 ER -
%0 Journal Article %A A. S. Demidov %A D. A. Platuschikhin %T Explicit Formula for the Gradient of a Harmonic Function from Its Analytic Cauchy Data on the Analytic Curve %J Matematičeskie zametki %D 2010 %P 141-143 %V 87 %N 1 %U http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a16/ %G ru %F MZM_2010_87_1_a16
A. S. Demidov; D. A. Platuschikhin. Explicit Formula for the Gradient of a Harmonic Function from Its Analytic Cauchy Data on the Analytic Curve. Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 141-143. http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a16/
[1] S. N. Mergelyan, UMN, 11:5 (1956), 3–26 | MR | Zbl
[2] M. M. Lavrentev, Izv. AN SSSR. Ser. matem., 20:6 (1956), 819–842 | MR | Zbl
[3] A. N. Tikhonov, V. Ya. Arsenin, Metody resheniya nekorrektnykh zadach, Nauka, M., 1974 | MR | Zbl
[4] V. I. Arnold, Geometricheskie metody v teorii obyknovennykh differentsialnykh uravnenii, RKhD, Izhevsk, 2000 | MR | Zbl
[5] A. S. Demidov, M. Moussaoui, Inverse Problems, 20:1 (2004), 137–154 | DOI | MR | Zbl
[6] A. S. Demidov, Dokl. RAN, 346:6 (1996), 732–734 | MR | Zbl
[7] A. S. Demidov, V. V. Petrova, V. M. Silantiev, C. R. Acad. Sci. Paris Sér. I Math., 323:4 (1996), 353–358 | MR | Zbl