Maria B. Kania

Pseudodifferential parabolic equations in uniform spaces

The paper is devoted to local and global solvability in locally uniform spaces and to the existence of a global attractor for a parabolic problem containing fractional power of the minus Laplace operator. Several useful technical tools and estimates are also collected in this paper.

Upper semicontinuity of global attractors for the perturbed viscous Cahn-Hilliard equations

It is known that the semigroup generated by the initial-boundary value problem for the perturbed viscous Cahn-Hilliard equation with

Analysis of the viscous Cahn-Hilliard equation in R-N

\varepsilon> 0

Global attractor for the perturbed viscous Cahn-Hilliard equation

as a parameter admits a global attractor

Generalized Korteweg–de Vries equation in H1(R)

\mathcal{A}_{\varepsilon}

Korteweg–de Vries–Burgers system in RN

in the phase space

Quasi-geostrophic equation in R2

X^{{1}/{2}} =(H^2(\Omega)\cap H^{1}_{0}(\Omega))\times L^2(\Omega)

Pseudodifferential parabolic equations; two examples

,

Subcritical Hamilton–Jacobi fractional equation in RN

\Omega\subset \mathbb{R}^n

Quasi-geostrophic equation in

,