Computational & Applied Mathematics
On-line version ISSN 1807-0302
ARAUJO, G.M. de; GUZMAN, R.B. and MENEZES, Silvano B. de. Periodic solutions for nonlinear telegraph equationvia elliptic regularization. Comput. Appl. Math. [online]. 2009, vol.28, n.2, pp.135-155. ISSN 1807-0302. http://dx.doi.org/10.1590/S1807-03022009000200001.
In this work we are concerned with the existence and uniqueness of T -periodic weak solutions for an initial-boundary value problem associated with nonlinear telegraph equations typein a domain . Our arguments rely on elliptic regularization technics, tools from classical functional analysis as well as basic results from theory of monotone operators.
Keywords : Telegraph equation; periodic solutions; elliptic regularization; Faedo - Galerkin method.