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Construction of the solutions of microhyperbolic pseudodifferential equations
Keisuke UCHIKOSHI
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Keisuke UCHIKOSHI
Department of Mathematics National Defense Academy
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1988 Volume 40 Issue 2 Pages 289-318
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- Published: 1988 Received: May 13, 1986 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] J. M. Bony and P. Schapira, Solutions hyperfonctions du problème de Cauchy, Lecture Notes in Math., 287, Springer, 1973, pp. 82-98.
[2] -, Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles, Ann. Inst. Fourier, 26 (1976), 81-140.
[3] M. D. Bronstein, The Cauchy problem for hyperbolic operators with characteristics of variable multiplicity, Trudy Moskov. Mat. Obšc., 41 (1980), 83-99. (Englishtransl.) Trans. Moscow Math. Soc., 41 (1982).
[4] M. Kashiwara and T. Kawai, Microhyperbolic pseudodifferential operators I, J.Math. Soc. Japan, 27 (1975), 359-404.
[5] M. Kashiwara and P. Schapira, Microhyperbolic systems, Acta Math., 142 (1979), 1-55.
[6] K. Kataoka, Oral communication, June, 1986.
[7] H. Komatsu, A local version of Bochner's tube theorem, J. Fac. Sci. Univ. Tokyo, Sect. IA, 19 (1972), 201-214.
[8] -, Ultradistributions I, J. Fac. Sci. Univ. Tokyo, Sect. IA, 20 (1973), 25-105.
[9] J. M. Trepreau, Le problème de Cauchy hyperbolique dans les classes d'ultrafonctions et d'ultradistributions, Comm. Part. Diff. Eq., 4 (1979), 339-387.
[10] S. Wakabayashi, Singularities of solutions of the Cauchy problem for hyperbolicsystems in Gevrey classes, Japanese J. Math., 11 (1985), 157-201.
[11] K. Kajitani and S. Wakabayashi, Microhyperbolic operators in Gevrey classes, to appear.
Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -
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