Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Error estimates for some mixed finite element methods for parabolic type problems
Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations.
Error estimates of a difference approximation method for a backward heat conduction problem.
Error estimates of a fully discrete linear approximation scheme for Stefan problem.
Error Estimates of a Galerkin Method for Some Nonlinear Sobolev Equations in one Space Dimension.
Error estimates of a linear approximation scheme for nonlinear diffusion problems.
Estimates for the cut-off resolvent of the Laplacian for trapping obstacles
Estimates for the maximum modulus of solutions to the Burgers system of equations.
Estimates for the norms of solutions of delay difference systems.
Estimates for the norms of solutions of difference systems with several delays.
Estimates near the boundary for solutions of second order parabolic equations.
Estimates of a stabilization rate as of solutions of a nonlinear integro-differential equation.
Estimates of Green functions and their applications for parabolic operators with singular potentials
We prove global pointwise estimates for the Green function of a parabolic operator with potential in the parabolic Kato class on a cylindrical domain Ω. We apply these estimates to obtain a new and shorter proof of the Harnack inequality [16], and to study the boundary behavior of nonnegative solutions.
Estimates of solutions of impulsive parabolic equations and applications to the population dynamics.
A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.
Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in
We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in . Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup associated with the realization of the operator in the space of all the bounded and continuous functions in
Estimates of weak solutions to nondiagonal quasilinear parabolic systems
-estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.
Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain
A-priori estimates in weighted Hölder norms are obtained for the solutions of a one- dimensional boundary value problem for the heat equation in a domain degenerating at time t = 0 and with boundary data involving simultaneously the first order time derivative and the spatial gradient.
Estimation of a temporally and spatially varying diffusion coefficinet in a parabolic system by an augmented Lagrangian technique.
Estimation of the conductivity in the one-phase Stefan problem : numerical results