On some properties of solutions of quasilinear degenerate parabolic equations in
We study the asymptotic behaviour near infinity of the weak solutions of the Cauchy-problem.
On some properties of solutions of the Cauchy problem for a quasilinear parabolic equation
On some Schroedinger-type variational inequalities
On some stochastic parabolic differential equations in a Hilbert space.
On stability of some difference schemes for parabolic diffusion equation.
On stability of spline difference scheme for reaction-diffusion time-dependent singularly perturbed problem.
On stable solutions of quasilinear periodic-parabolic problems
On step-like contrast structure of singularly perturbed systems.
On the analysis of an endothermal/exothermal saturation problem
On the antimaximum principle for parabolic periodic problems with weight.
On the approximation of front propagation problems with nonlocal terms
We investigate the approximation of the evolution of compact hypersurfaces of depending, not only on terms of curvature of the surface, but also on non local terms such as the measure of the set enclosed by the surface.
On the approximation of front propagation problems with nonlocal terms
We investigate the approximation of the evolution of compact hypersurfaces of depending, not only on terms of curvature of the surface, but also on non local terms such as the measure of the set enclosed by the surface.
On the approximation of the dynamics of sandpile surfaces.
On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.
We consider the linear convection-diffusion equation associated to higher order elliptic operators⎧ ut + Ltu = a∇u on Rnx(0,∞)⎩ u(0) = u0 ∈ L1(Rn),where a is a constant vector in Rn, m ∈ N*, n ≥ 1 and L0 belongs to a class of higher order elliptic operators in divergence form associated to non-smooth bounded measurable coefficients on Rn. The aim of this paper is to study the asymptotic behavior, in Lp (1 ≤ p ≤ ∞), of the derivatives Dγu(t) of the solution of the convection-diffusion equation...
On the asymptotic behavior of solutions of linear parabolic equations in space
On the asymptotic behavior of solutions of parabolic equations
On the asymptotic behavior of solutions of second order parabolic partial differential equations
We consider the second order parabolic partial differential equation . Sufficient conditions are given under which every solution of the above equation must decay or tend to infinity as |x|→ ∞. A sufficient condition is also given under which every solution of a system of the form , where , must decay as t → ∞.
On the Asypmptotic Behaviour of Solutions of Nonlinear Parabolic Equations.
On the backward heat equation
On the backward heat problem: evaluation of the norm of .