In this paper we will consider oscillations of square viscoelastic membranes by adding to the wave equation another term, which takes into account the memory. To this end, we will study a class of integrodifferential equations in square domains. By using accurate estimates of the spectral properties of the integrodifferential operator, we will prove an inverse observability inequality.

Inverse observability inequalities for integrodifferential equations in square domains / Loreti, Paola; Sforza, Daniela. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - ELETTRONICO. - 7:1(2018), pp. 61-77. [10.3934/eect.2018004]

Inverse observability inequalities for integrodifferential equations in square domains

Loreti, Paola;Sforza, Daniela
2018

Abstract

In this paper we will consider oscillations of square viscoelastic membranes by adding to the wave equation another term, which takes into account the memory. To this end, we will study a class of integrodifferential equations in square domains. By using accurate estimates of the spectral properties of the integrodifferential operator, we will prove an inverse observability inequality.
Fourier series; Ingham type estimates; Observability; Modeling and Simulation; Control and Optimization; Applied Mathematics
01 Pubblicazione su rivista::01a Articolo in rivista
Inverse observability inequalities for integrodifferential equations in square domains / Loreti, Paola; Sforza, Daniela. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - ELETTRONICO. - 7:1(2018), pp. 61-77. [10.3934/eect.2018004]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1114717
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