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Solonnikov parabolic systems with quasihomogeneous structure

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We consider a new class of systems of equations that combine the structures of Solonnikov and Éidel’man parabolic systems. We prove a theorem on the reduction of a general initial-value problem to a problem with zero initial data and a theorem on the correct solvability of an initial-value problem in a model case.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 11, pp. 1501–1510, November, 2006.

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Ivasyshen, S.D., Ivasyuk, H.P. Solonnikov parabolic systems with quasihomogeneous structure. Ukr Math J 58, 1704–1716 (2006). https://doi.org/10.1007/s11253-006-0163-9

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  • DOI: https://doi.org/10.1007/s11253-006-0163-9

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