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References
D. Cramer and Yu. Latushkin, Lecture Notes in Pure and Appl. Math. 234, 105 (2003).
S.-Z. Huang, Tuebinger Ber. Funktionalanal. 6, 65 (1997).
B. Jacob and C. Trunk, Semigroup Forum 79(1), 79 (2009).
R. O. Griniv and A. A. Shkalikov, Funktsional. Anal. Prilozhen. 38(3), 3 (2004) [Functional Anal. Appl. 38 (3), 163 (2004)].
R. O. Griniv and A. A. Shkalikov, Vestnik Moskov. Univ. Ser. I Mat. Mekh. (5), 5 (1999) [Moscow Univ. Math. Bull. 54 (5) (1999), 1 (2000)].
K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, in Grad. Texts in Math. (Springer-Verlag, Berlin, 2000), Vol. 194.
A. Bátkai and K.-J. Engel, J. Comput. Anal. Appl. 6(2), 153 (2004).
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Original Russian Text © N. V. Artamonov, 2012, published in Matematicheskie Zametki, 2012, Vol. 91, No. 5, pp. 780–783.
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Artamonov, N.V. Estimate of the decay exponent of an operator semigroup associated with a second-order linear differential equation. Math Notes 91, 731–734 (2012). https://doi.org/10.1134/S000143461205015X
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DOI: https://doi.org/10.1134/S000143461205015X
Keywords
- accretive operator
- sectorial operator
- contraction semigroup
- quadratic operator pencil
- scale of Hilbert spaces
- second-order linear differential equation
- sesquilinear form