4 citations · 4 across the 3 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2026
Boundary value problems for some quasilinear parabolic equations under minimal conditions on the coefficients
S. G. Pyatkov
Quasilinear parabolic boundary value problems are considered. Sharp conditions on the data ensuring existence and uniqueness of solutions in Sobolev classes are exposed. They are s…
math.AP2024
Inverse problems of recovering lower-order coefficients from boundary integral data
S. G. Pyatkov, O. A. Soldatov
Under consideration are mathematical models of heat and mass transfer. We study inverse problems of recovering lower-order coefficients in a second order parabolic equation. The co…
math.AP2024★ 4 cited
Identification of the Heat Transfer Coefficient Using an Inverse Heat Conduction Model
Sergey Grigorievich Pyatkov
Inverse problems of recovering heat transfer coefficient from integral measurements are considered. The heat transfer coefficient occurs in the transmission conditions of imperfect…