2 papers
math.AP2020
A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical
Valerii Los
We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are cla…
math.AP2019
Parabolic problems in generalized Sobolev spaces
Valerii Los, Vladimir Mikhailets, Aleksandr Murach
We consider a general inhomogeneous parabolic initial-boundary value problem for a -parabolic differential equation given in a finite multidimensional cylinder. We investigate…