Of concern is a complete linear second-order abstract Cauchy problem (ACP) on a Hilbert space. We show that under certain assumptions on the operator coefficients the associated reduction matrix generates a contraction semigroup on a scale of Hilbert spaces. This result is used to prove the well posedness of the original problem (ACP). In the Appendix we present a new proof of a perturbation result for m-accretive operators. (C) 1994 Academic Press, Inc.
ON DISSIPATIVE WAVE-EQUATIONS IN HILBERT-SPACE
ENGEL, KLAUS JOCHEN OTTO
1994-01-01
Abstract
Of concern is a complete linear second-order abstract Cauchy problem (ACP) on a Hilbert space. We show that under certain assumptions on the operator coefficients the associated reduction matrix generates a contraction semigroup on a scale of Hilbert spaces. This result is used to prove the well posedness of the original problem (ACP). In the Appendix we present a new proof of a perturbation result for m-accretive operators. (C) 1994 Academic Press, Inc.File in questo prodotto:
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