We give sufficient conditions for the global solvability of Kirchhoff equation in terms of the spectral resolutions of the initial data u(0; x); ut(0; x). We assume no smallness conditions and only “Sobolev-type” regularity.
On the global solvability of the Kirchhoff equation for non-analytic initial data.
MANFRIN, RENATO
2005-01-01
Abstract
We give sufficient conditions for the global solvability of Kirchhoff equation in terms of the spectral resolutions of the initial data u(0; x); ut(0; x). We assume no smallness conditions and only “Sobolev-type” regularity.
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