## Search

Now showing items 1-10 of 23

#### Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation

(2016-12-31)

We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general $k$-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent ...

#### A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions

(2016-12-21)

We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission conditions at a $C^2$-compact surface without boundary. To do so we are lead to study the layer potential induced by the ...

#### Dimension reduction for the micromagnetic energy functional on curved thin films

(2016-12-14)

Micromagnetic con gurations of the vortex and onion type have beenwidely studied in the context
of planar structures. Recently a signi cant interest to micromagnetic curved thin lms has appeared.
In particular, thin ...

#### On the controllability of Partial Differential Equations involving non-local terms and singular potentials

(2016-12-12)

In this thesis, we investigate controllability and observability properties of Partial Differential Equations describing various phenomena appearing in several fields of the applied sciences such as elasticity theory, ...

#### New bounds for bilinear Calderón-Zygmund operators and applications

(2016-11-25)

In this work we extend Lacey’s domination theorem to prove the pointwise control of bilinear Calderón–Zygmund operators with Dini–continuous kernel by sparse operators. The precise bounds are carefully tracked following ...

#### Reconstruction from boundary measurements for less regular conductivities

(2016-10-01)

In this paper, following Nachman's idea [14] and Haberman and Tataru's idea [9], we reconstruct $C^1$ conductivity $\gamma$
or Lipchitz conductivity $\gamma$ with small enough value of $|\nabla log\gamma|$ in a Lipschitz ...

#### On sums involving Fourier coefficients of Maass forms for SL(3,Z)

(2016-09-10)

We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for SL(3,Z), and as an application obtain a pointwise estimate and a second moment estimate for the sums ...

#### Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations

(2016-09-01)

The Lotka-Volterra model is a differential system of two coupled equations representing the interaction of two species: a prey one and a predator one. We formulate an optimal control problem adding the effect of hunting ...

#### Uniqueness and Properties of Distributional Solutions of Nonlocal Equations of Porous Medium Type

(2016-09-01)

We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation $\partial_tu-\mathcal{L}^\mu [\varphi (u)]=0$. Here $\mathcal{L}^\mu$ ...

#### Hardy uncertainty principle, convexity and parabolic evolutions

(2016-09-01)

We give a new proof of the $L^2$ version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of ...