Exponential decay of semigroups for second order non-selfadjoint linear differential equations
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math.CAmath.DSmath.FA
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decaydifferentialexponentiallinearoperatorordersecondaccretive
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The Cauchy problem for second order linear differential equation $u''(t)+Du'(t)+Au(t)=0$ in Hilbert space $H$ with a sectorial operator $A$ and an accretive operator $D$ is studied. Sufficient conditions for exponential decay of the solutions are obtained.
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