A generation theorem for hyperbolic equations with coefficients of bounded variation in time
Received: 19 June 2007 Revised: 9 November 2007
Mathematics Subject Classification (2000): primary: 47D06, secondary: 34G10
This work is a part of the project MSM 0021620839 and was partly supported by GACR 201/06/P171
Abstract We present a new generation theorem for evolution families which is suitable for hyperbolic equations of first and second order with coefficients of bounded variation in time.