Brief Communications

Estimate of the Decay Exponent of an Operator Semigroup Associated with a Second-Order Linear Differential Equation

N. V. Artamonov

Moscow State Institute of International Relations (University) of the Ministry for Foreign Affairs of Russia

Keywords: accretive operator, sectorial operator, contraction semigroup, quadratic operator pencil, scale of Hilbert spaces, second-order linear differential equation, sesquilinear form.

Received: 01.09.2011
Revised: 22.11.2011

DOI: 10.4213/mzm9247

 English version: Mathematical Notes, 2012, 91:5, 731–734

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