Exponential Decay of Semigroups for Second-order Non-selfadjoint Linear Differential Equations

DOI10.1007/978-3-0348-0346-5_1zbMATH Open1268.47048arXiv1012.2239OpenAlexW2157728067MaRDI QIDQ2902843

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Publication date: 22 August 2012

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Abstract: The Cauchy problem for second order linear differential equation $u^{″}(t)+D{u}^{\prime }(t)+Au(t)=0$ 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.

Full work available at URL: https://arxiv.org/abs/1012.2239

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