Abstract
A non-linear Diophantine condition involving perfect squares and arising from an inhomogeneous wave equation on the torus guarantees the existence of a smooth solution. The exceptional set associated with the failure of the Diophantine condition and hence of the existence of a smooth solution is studied. Both the Lebesgue and Hausdorff measures of this set are obtained.
Originalsprog | Engelsk |
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Tidsskrift | Advances in Mathematics |
Vol/bind | 217 |
Nummer | 2 |
Sider (fra-til) | 740-760 |
Antal sider | 21 |
ISSN | 0001-8708 |
DOI | |
Status | Udgivet - 2008 |