Solonnikov parabolic systems with quasihomogeneous structure
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.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 11, pp 1704-1716.
Citation Example: Ivasyshen S. D., Ivasyuk H. P. Solonnikov parabolic systems with quasihomogeneous structure // Ukr. Mat. Zh. - 2006. - 58, № 11. - pp. 1501–1510.