Now showing items 1-8 of 8

• #### Attractors for a class of semi-linear degenerate parabolic equations ﻿

(2013-12-31)
We consider degenerate parabolic equations of the form ∂tu = Δλu + f(u) u{pipe}∂Ω = 0, u{pipe}t=0 = u0 in a bounded domain Ω ⊂N, where Δλ is a subelliptic operator of the type (Formula presented.) We prove global existence ...
• #### Attractors met X-elliptic operators ﻿

(2014-12-31)
We consider degenerate parabolic and damped hyperbolic equations involving an operator L, that is X-elliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,... Xm}. The local well-posedness ...
• #### Hard-type inequalities for $\Delta_{\lambda}$-Laplacians ﻿

(2015-12-31)
We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of (Formula presented.) -Laplacians and find explicit values for the constants involved. Our results generalize previous ...
• #### Hardy type inequalities for $\Delta_{\lambda}$-Laplacians ﻿

(2016-01-01)
We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_{\lambda}$-Laplacians and find explicit values for the constants involved. Our results generalize previous ...
• #### On the positivity of solutions of systems of stochastic PDEs ﻿

(2013-12-31)
We study the positivity of solutions of a class of semi-linear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit ...
• #### On the well-posedness of mathematical models for multicomponent biofilms ﻿

(2015-12-31)
Bacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusion-reaction equations with two non-Fickian effects: (i) a porous medium equation like degeneracy ...
• #### Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications ﻿

(2014-12-31)
This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its ...
• #### Pullback exponential attractors for evolution processes in banach spaces: Theoretical results ﻿

(2013-12-31)
We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding ...