A~three spheres theorem for an elliptic equation of high order
Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 189-195
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In the sphere $Q\subset\mathbf R^n$ of unit radius we consider a uniformly elliptic equation of order $2m$ with simple complex characteristics and with coefficients in $C^{2m}$ satisfying a supplementary condition. Concerning continuous dependence on the initial conditions we prove a theorem that is analogous to Hadamard's three circle theorem in the theory of analytic functions.
Bibliography: 8 titles.
@article{SM_1970_11_2_a3,
author = {E. G. Sitnikova},
title = {A~three spheres theorem for an elliptic equation of high order},
journal = {Sbornik. Mathematics},
pages = {189--195},
publisher = {mathdoc},
volume = {11},
number = {2},
year = {1970},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1970_11_2_a3/}
}
E. G. Sitnikova. A~three spheres theorem for an elliptic equation of high order. Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 189-195. http://geodesic.mathdoc.fr/item/SM_1970_11_2_a3/