Wave Equations and Symmetric First-order Systems in Case of Low Regularity
Wave Equations and Symmetric First-order Systems in Case of Low Regularity
We analyse an algorithm of transition between Cauchy problems for second-order wave equations and first-order symmetric hyperbolic systems in case the coefficients as well as the data are non-smooth, even allowing for regularity below the standard conditions guaranteeing well-posedness. The typical operations involved in rewriting equations into systems are then …