4 citations · 7 across the 5 of their papers we have counts for
5 papers
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces
Sergey Degtyarev
We consider a Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces. The equation generalizes the heat equation to the case of fractional powe…
On some weighted Hölder spaces as a possible functional framework for the thin film equation and other parabolic equations with a degeneration at the boundary of a domain
Sergey Degtyarev
The present paper is devoted to studying of some weighted Hölder spaces. These spaces are designed in the way to serve as a framework for studying different statements for the thin…
On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized Cahn-Hilliard equation with dynamic boundary conditions
S. P. Degtyarev
We give relatively simple sufficient conditions on a Fourier multiplier, so that it maps functions with the Hlder property with respect to a part of the variables to func…
The existence of a smooth interface in the evolutionary elliptic Muskat--Verigin problem with nonlinear source
Sergey P. Degtyarev
We study the two-phase Muskat--Verigin free-boundary problem for elliptic equations with nonlinear sources. The existence of a smooth solution and a smooth free boundary is proved…
Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations
S. P. Degtyarev
We prove locally in time the existence of a smooth solution for multidimensional two-phase Stefan problem for degenerate parabolic equations of the porous medium type. We establish…