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$${\mathcal L}_ 2$$ is a continuable initial condition for Kreiss’ mixed problems. (English) Zbl 0226.35056

##### MSC:
 35L45 Initial value problems for first-order hyperbolic systems 35M10 PDEs of mixed type
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##### References:
 [1] Friedrichs, Comm. Pure Appl. Math. 18 pp 355– (1965) [2] and , On symmetrizable differential operators, Proc. Symp. Pure Math., Vol. 10, American Mathematics Society, Providence, Rhode Island, 1968, pp. 128–137. [3] Solution directe du problème de Cauchy pour les equations hyperboliques, Coll. Int. C.N.R.S., Nancy, 1956, pp. 74–90. [4] Hersh, Jour. Math. Mech. 12 pp 317– (1963) [5] Linear Partial Differential Operators, Springer-Verlag, Berlin, 1963. · Zbl 0108.09301 [6] Kreiss, Comm. Pure Appl. Math. 13 pp 277– (1970) [7] Ralston, Comm. Pure Appl. Math. 24 pp 759– (1971) [8] Energy inequalities for hyperbolic initial boundary value problems, Thesis, New York University, February, 1971. [9] Rauch, Bull. American Math. Soc. 77 pp 1031– (1971) [10] Sakamoto, J. Math. Kyoto Univ. 10 pp 349– (1970) [11] Tartakoff, Regularity of solutions to boundary value problems for first order systems · Zbl 0224.35021
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