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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1970 Volume 82(124), Number 4(8), Pages 507–531 (Mi sm3465)

This article is cited in 3 papers

Theorems of Phragmén–Lindelöf type for linear elliptic equations of second order

G. N. Blokhina


Abstract: We consider a linear uniformly elliptic equation of second order. Under various assumptions regarding the coefficients we study the character of the growth of a solution defined in an unbounded domain and vanishing on the boundary of the domain. Estimates are obtained in terms of capacity.
Bibliography: 21 titles.

UDC: 517.946

MSC: 35J15, 35B05, 35J25

Received: 15.07.1969


 English version:
Mathematics of the USSR-Sbornik, 1970, 11:4, 467–490

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