TY - GEN A1 - Kmit, Irina T1 - Smoothing effect and Fredholm property for first-order hyperbolic PDEs N2 - We give an exposition of recent results on regularity and Fredholm properties for first-order one-dimensional hyperbolic PDEs. We show that large classes of boundary operators cause an effect that smoothness increases with time. This property is the key in finding regularizers (parametrices) for hyperbolic problems. We construct regularizers for periodic problems for dissipative first-order linear hyperbolic PDEs and show that these problems are modeled by Fredholm operators of index zero. KW - first-order hyperbolic systems, initial-boundary problems; time-periodic solutions, regularity of solutions; Fredholm solvability Y1 - 2013 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1194 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-11946 ER -