Shizuta, Yasushi; Tanaka, Yumi On a refinement of the regularity theorem for solutions to the characteristic initial boundary value problem for linear symmetric hyperbolic systems. (English) Zbl 0956.35080 Proc. Japan Acad., Ser. A 76, No. 3, 31-34 (2000). Summary: We study the initial-boundary value problem for symmetric hyperbolic systems with characteristic boundary. The regularity of solutions is shown in a refined form, taking into account the break down of the full regularity. Cited in 2 Documents MSC: 35L50 Initial-boundary value problems for first-order hyperbolic systems 35B65 Smoothness and regularity of solutions to PDEs Keywords:break down of the full regularity × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Ohno, M., and Shirota, T.: On the initial boundary value problem for the linearized equations of magnetohydrodynaics. Arch. Rational Mech. Anal., 144 , 259-299 (1998). · Zbl 0916.76096 · doi:10.1007/s002050050118 [2] Ohno, M., Shizuta, Y., and Yanagisawa, T.: The initial boundary value problem for linear symmetric hyperbolic systems with boundary characteristic of constant multiplicity. J. Math. Kyoto Univ., 35 , 143-210 (1995). · Zbl 0852.35089 [3] Rauch, J.: Symmetric positive systems with boundary characteristic of constant multiplicity. Trans. Amer. Math. Soc., 291 , 167-187 (1985). · Zbl 0549.35099 · doi:10.2307/1999902 [4] Secchi, P.: The initial-boundary value problem for symmetric hyperbolic systems with characteristic boundary of constant multiplicity. Differential Integral Equations, 9 , 671-700 (1996). · Zbl 0853.35067 [5] Yamamoto, Y.: Regularity of solutions of initial boundary value problems for symmetric hyperbolic systems with boundary characteristic of constant multiplicity. Advances in Nonlinear Partial Differential Equations and Stochastics (eds. Kawashima, S., and Yanagisawa, T.). World Scientific, Singapore, pp. 133-159 (1998). · Zbl 0917.35072 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.