Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 51, No. 3, pp. 455-473 (1994)

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Non Local Solutions of a Nonlinear Hyperbolic Partial Differential Equation

Cícero Lopes Frota

Departamento de Matemática, Universidade Estadual de Maringá,
Agencia Postal UEM, 87 020-900 Maringá - PR - BRAZIL

Abstract: In this work we prove that the mixed problem for a temporally nonlinear Kirchhoff-Carrier model, for vibrations of a nonhomogeneous stretched string, has unique nonlocal solution for small data. The solution is obtained in S.L. Sobolev spaces.

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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