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Kreiss' mixed problems with nonzero initial data

1971
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Bulletin of the American Mathematical Society
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In [3] , Kreiss has shown that a large class of mixed initial boundary-value problems of hyperbolic type are well-posed in the £2 sense. However only zero initial data were considered. For the same class of problems we show that if square integrable initial data are prescribed then there is a unique solution which is square integrable for each positive time. The differential operators under consideration are of the form where u is a complex fe-vector, and A y and B are kXk matrix-valued

doi:10.1090/s0002-9904-1971-12849-5
fatcat:hxxxz4ihwbh7hejoeyovtuxnsi