# American Institute of Mathematical Sciences

September  2008, 7(5): 1049-1056. doi: 10.3934/cpaa.2008.7.1049

## Hidden regularity for the Kirchhoff equation

 1 Departamento de Matemática, Universidade Federal da Paraíba, 58051-900, João Pessoa - PB, Brazil, Brazil, Brazil, Brazil

Received  August 2007 Revised  February 2008 Published  June 2008

In this work we study the hidden regularity for solutions of mixed problem associated to the Kirchhoff model for small deformations of a membrane

$u''-M(||u||^2) \Delta u=0,$

when the initial data are considered in spaces with few regularity.

Citation: F. D. Araruna, F. O. Matias, M. P. Matos, S. M. S. Souza. Hidden regularity for the Kirchhoff equation. Communications on Pure & Applied Analysis, 2008, 7 (5) : 1049-1056. doi: 10.3934/cpaa.2008.7.1049
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