2017
Том 69
№ 6

All Issues

Phragmén-Lindelöf theorem for solutions of elliptic differential equations in a banach space

Gorbachuk M. L.

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Abstract

For a second-order elliptic differential equation considered on a semiaxis in a Banach space, we show that if the order of growth of its solution at infinity is not higher than the exponential order, then this solution tends exponentially to zero at infinity.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 5, pp 708-717.

Citation Example: Gorbachuk M. L. Phragmén-Lindelöf theorem for solutions of elliptic differential equations in a banach space // Ukr. Mat. Zh. - 2007. - 59, № 5. - pp. 650–657.

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