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Now showing items 1-10 of 44

#### Maximum Principles for vectorial approximate minimizers of nonconvex functionals

(2013-12-31)

We establish Maximum Principles which apply to vectorial approximate minimizers of the general integral functional of Calculus of Variations. Our main result is a version of the Convex Hull Property. The primary advance ...

#### 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 ...

#### 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 control of Markov jump linear systems with no mode observation: Application to a DC Motor device

(2013-12-31)

This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is ...

#### A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators

(2013-12-31)

In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for Laplace-Beltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This ...

#### Analysis and numerical simulations of a chemotaxis model of aggregation of microglia in Alzheimer's disease

(2013-12-31)

In this paper, we study the well-posedness in scales of Hilbert spaces Eα, α ∈ ℝ defined by the non-coupled system partial differential operator of a chemotaxis model of aggregation of microglia in Alzheimer's disease for ...

#### A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations

(2013-12-31)

We compare numerical experiments from the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method, applied to three benchmark problems based on two different ...

#### The L∞-null controllability of parabolic equation with equivalued surface boundary conditions

(2013-12-31)

In this paper, we obtain the L∞-null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] ...

#### Overlapping optimized schwarz methods for parabolic equations in n dimensions

(2013-12-31)

We introduce in this paper a new tool to prove the convergence of the overlapping optimized Schwarz methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping ...

#### On an extension of a bilinear functional on Lp(Rd)⊗E to a Bochner space with an application to velocity averaging

(2013-12-31)

We examine necessary and sufficient conditions under which a continuous bilinear functional B on Lp(Rd)⊗E, p>1, E being a separable Banach space, can be continuously extended to a linear functional on Lp(Rd;E). The ...