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math.AP2021★ 2 cited
Parabolic boundary-value problems and generalized Sobolev spaces
V. M. Los, V. A. Mikhailets, A. A. Murach
The research monograph expounds the foundation of a new theory of parabolic initial-boundary-value problems in scales of generalized anisotropic Sobolev spaces. These scales are ca…
math.AP2021
Some problems for Petrovskii parabolic systems in generalized Sobolev spaces
Aleksandr Dyachenko, Valerii Los
We consider an inhomogeneous initial-boundary value problem for a Petrovskii parabolic system of second order PDEs. We prove that this problem induces isomorphisms between appropri…