On some abstract variable domain hyperbolic differential equations |
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| Authors: | Marco Luigi Bernardi Giovanna Bonfanti Fabio Luterotti |
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| Institution: | (1) Present address: Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata 1, I-27100 Pavia, Italy;(2) Present address: Dipartimento di Elettronica per l'Automazione, Sezione Matematica, Università degli Studi di Brescia, Via Branze 38, I-25123 Brescia, Italy |
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| Abstract: | The Cauchy problem is studied for a class of linear abstract differential equations of hyperbolic type with variable domain. Existence and uniqueness results are proved for (suitably defined) weak solutions. Some applications to P.D.E. are also given: they concern linear hyperbolic equations either in non-cylindrical regions or with mixed variable lateral conditions.This work was supported in part by the M.U.R.S.T. (Italy), through 60% and 40% research funds, and by the «G.N.AF.A. of the C.N.R.» (Italy). |
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