Galerkin approximations to non-linear pseudo-parabolic partial differential equations. (Short Communication).
Galerkin approximations to non-linear pseudo-parabolic partial differential equations.
Gevrey problem for parabolic equations with changing time direction.
Global regular solutions to the Navier-Stokes equations in a cylinder
The existence and uniqueness of solutions to the Navier-Stokes equations in a cylinder Ω and with boundary slip conditions is proved. Assuming that the azimuthal derivative of cylindrical coordinates and azimuthal coordinate of the initial velocity and the external force are sufficiently small we prove long time existence of regular solutions such that the velocity belongs to and the gradient of the pressure to . We prove the existence of solutions without any restrictions on the lengths of the...
Gradient estimates in parabolic problems with unbounded coefficients
We study, with purely analytic tools, existence, uniqueness and gradient estimates of the solutions to the Neumann problems associated with a second order elliptic operator with unbounded coefficients in spaces of continuous functions in an unbounded open set Ω in .
Grandient Estimates for Degenerate Diffusion Equations. I.
Green function for the heat equation with oblique boundary conditions in an angle
Group method analysis of two-dimensional plate in heat flux.