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On the analyticity of solutions of \(\overrightarrow {2b} \)-parabolic systems

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Abstract

It is proved that if the coefficients of a \(\overrightarrow {2b} \)-parabolic system admit analytic extension to a complex region in the space variables, then the fundamental matrix of solutions of the Cauchy problem and regular solutions of the system also possess the same property.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 2, pp. 160–167, February, 2006.

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Ivasyshen, S.D., Kondur, O.S. On the analyticity of solutions of \(\overrightarrow {2b} \)-parabolic systems. Ukr Math J 58, 178–188 (2006). https://doi.org/10.1007/s11253-006-0060-2

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  • DOI: https://doi.org/10.1007/s11253-006-0060-2

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