We prove the well-posedness in the Hadamard sense (existence, uniqueness and continuous dependence of the local solution upon the initial data) in Sobolev spaces of low order for the initial-value problem of the Kirchhoff string equation.
On the well-posedness of the Kirchhoff string / Arosio, Alberto Giorgio; Panizzi, Stefano. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - (1996). [10.1090/S0002-9947-96-01532-2]
On the well-posedness of the Kirchhoff string
AROSIO, Alberto Giorgio;PANIZZI, Stefano
1996-01-01
Abstract
We prove the well-posedness in the Hadamard sense (existence, uniqueness and continuous dependence of the local solution upon the initial data) in Sobolev spaces of low order for the initial-value problem of the Kirchhoff string equation.File in questo prodotto:
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