Hyperfunction solutions to Fuchsian hyperbolic systems

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J. Math. Sci. Univ. Tokyo
Vol. 12 (2005), No. 2, Page 191--209.

Yamazaki, Susumu
Hyperfunction solutions to Fuchsian hyperbolic systems
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Abstract:
To Fuchsian hyperbolic systems, the unique solvability theorem is proved in two cases: (1) hyperfunction (or microfunction) solutions with a real analytic parameter to Cauchy problem; (2) mild hyperfunction (or mild microfunction) solutions to boundary value problem. These results extend that of H.\ Tahara to general systems.

Mathematics Subject Classification (2000): Primary 35A27; Secondary 32C38, 58J15.

Mathematical Reviews Number: MR2150736

Received: 2004-12-14

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