Differential and Integral Equations

On solvability of solutions of degenerate nonlinear equations on manifolds

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

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

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

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

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061134

Mathematical Reviews number (MathSciNet)
MR1787076

Zentralblatt MATH identifier
0979.35003

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

Citation

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.


Export citation