A Lyapunov Lemma for Elliptic Systems |
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| Authors: | Parenti Cesare Parmeggiani Alberto |
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| Institution: | (1) Department of Computer Science, University of Bologna, Piazza di Porta S. Donato 5, 40127 Bologna, Italy;(2) Department of Mathematics, University of Bologna, Piazza di Porta S. Donato 5, 40127 Bologna, Italy |
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| Abstract: | We study a possible extension to the infinite-dimensional case of the classicalLyapunov lemma for matrices. More precisely, for a fixed elliptic system A ofdifferential operators of order m, we consider the operator equationTA + A
*
T = Q, where Q is any given classical pseudodifferential system oforder m, and T is sought as a classical pseudodifferential system of order0. |
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| Keywords: | elliptic systems Lyapunov lemma pseudodifferential operators |
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