Boller, Stefan2019-12-112019-12-112000-11-20Boller, S. (2000). Cesaro asymptotic equipartition of energy in the coupled case. <i>Electronic Journal of Differential Equations, 2000</i>(70), pp. 1-11.1072-6691https://hdl.handle.net/10877/9051It is well known from earlier results that certain types of selfadjoint operators, e.g. operators allowing a representation as operator matrices, show equipartition of energy. In this paper we examine the question whether there are more selfadjoint operators showing equipartition of energy in the Cesaro mean. For this purpose we proof a necessary and sufficient criterion for equipartition of energy and use this criterion to show equipartition for a system of partial differential equations with a coupled boundary condition.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalCesaro asymptotic equipartition of energySelfadjoint operator matricesDirect sum Hilbert spaceEvolution equationsInitial boundary value problemCoupled boundary conditionArticle