Wave propagation for abstract integrodifferential equations

Desch, Gertrud; Grimmer, Ronald; Zeman, Marvin

doi:10.1007/bfb0072766

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The Property Of ω-Independence1

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2009

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“…This is the point where finite signal speed has to be taken into account. This property, derived by many authors, see for example [6,9], is recalled in the form we need in this paper. For completeness, a sketch of the proof is given in the Appendix.…”

Section: The Property Of ω-Independencementioning

confidence: 97%

Riesz Systems and Controllability of Heat Equations with Memory

Pandolfi

2009

Integr. equ. oper. theory

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The main result we derive is the proof that a particular set of functions related to the controllability of the heat equation with memory and finite signal speed, with suitable kernel, is a Riesz system. Riesz systems are important tools in applied mathematics, for example for the solution of inverse problems. In this paper we shows that the Riesz system we identify can be used to give a constructive method for the computation of the control steering a given initial condition to a prescribed target. (2000). Primary 44A60; Secondary 93B05. Mathematics Subject Classification

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Section: The Property Of ω-Independencementioning

confidence: 97%