Differential and Integral Equations

On solvability of solutions of degenerate nonlinear equations on manifolds

M. M. Cavalcanti and V. N. Domingos Cavalcanti

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In this paper we consider the existence, uniqueness and asymptotic behaviour of the solutions of nonlinear degenerate equations on manifolds. The existence is proved by making use of the Galerkin method and the uniform decay is obtained considering the perturbed energy method.

Article information

Differential Integral Equations, Volume 13, Number 10-12 (2000), 1445-1458.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L70: Nonlinear second-order hyperbolic equations
Secondary: 35B40: Asymptotic behavior of solutions 35D05 35L80: Degenerate hyperbolic equations


Cavalcanti, M. M.; Domingos Cavalcanti, V. N. On solvability of solutions of degenerate nonlinear equations on manifolds. Differential Integral Equations 13 (2000), no. 10-12, 1445--1458. https://projecteuclid.org/euclid.die/1356061134

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