Cauchy’s Problem for Harmonic Functions with Entire Data on a Sphere
Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 60-66
Voir la notice de l'article provenant de la source Cambridge
We give an elementary potential-theoretic proof of a theorem of G. Johnsson: all solutions of Cauchy’s problems for the Laplace equations with an entire data on a sphere extend harmonically to the whole space RN except, perhaps, for the center of the sphere.
Mots-clés :
35B60, 31B20, harmonic functions, Cauchy’s problem, homogeneous harmonics
Khavinson, Dmitry. Cauchy’s Problem for Harmonic Functions with Entire Data on a Sphere. Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 60-66. doi: 10.4153/CMB-1997-007-3
@article{10_4153_CMB_1997_007_3,
author = {Khavinson, Dmitry},
title = {Cauchy{\textquoteright}s {Problem} for {Harmonic} {Functions} with {Entire} {Data} on a {Sphere}},
journal = {Canadian mathematical bulletin},
pages = {60--66},
year = {1997},
volume = {40},
number = {1},
doi = {10.4153/CMB-1997-007-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-007-3/}
}
TY - JOUR AU - Khavinson, Dmitry TI - Cauchy’s Problem for Harmonic Functions with Entire Data on a Sphere JO - Canadian mathematical bulletin PY - 1997 SP - 60 EP - 66 VL - 40 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-007-3/ DO - 10.4153/CMB-1997-007-3 ID - 10_4153_CMB_1997_007_3 ER -
Cité par Sources :