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Periodic solutions for nonlinear telegraph equationvia elliptic regularization

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 <img border=0 src="../../../../../../img/revistas/cam/v28n2/a01txt01.gif" align=absmiddle>. Our arguments rely on elliptic regularization technics, tools from classical functional analysis as well as basic results from theory of monotone operators.

Telegraph equation; periodic solutions; elliptic regularization; Faedo - Galerkin method


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