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

Kitavtsev, G.; Robbins, J.M.; Slastikov, V.; Zarnescu, A.Autoridad BCAM (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 ...
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A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions 

Ourmières-Bonafos, T.; Vega, L.Autoridad BCAM (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 ...
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Dimension reduction for the micromagnetic energy functional on curved thin films 

Di Fratta, G. (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 ...
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On the controllability of Partial Differential Equations involving non-local terms and singular potentials 

Biccari, U. (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, ...
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New bounds for bilinear Calderón-Zygmund operators and applications 

Damián, W.; Hormozi, M.; Li, K. (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 ...
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Reconstruction from boundary measurements for less regular conductivities 

García, A.Autoridad BCAM; Zhang, G. (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 ...
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On sums involving Fourier coefficients of Maass forms for SL(3,Z) 

Jääsaari, J.; Vesalainen, E.V. (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 ...
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Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations 

Ibañez, A. (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 ...
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Uniqueness and Properties of Distributional Solutions of Nonlocal Equations of Porous Medium Type 

Del Teso, F.; Endal, J.; Jacobsen, E.R. (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 $\mathcal{L}^\mu$ ...
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Hardy uncertainty principle, convexity and parabolic evolutions 

Escauriaza, L.; Kenig, C.E.; Ponce, G.; Vega, L.Autoridad BCAM (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 ...
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AuthorPérez, C. (7)Ourmières-Bonafos, T. (3)Rivera-Ríos, I.P. (3)Vega, L. (3)Caro, P. (2)García, A. (2)Lotoreichik, V. (2)Ombrosi, S. (2)Vesalainen, E.V. (2)Arrizabalaga, N. (1)... másSubjectCalderón-Zygmund operators (2)existence of bound states (2)Schrödinger operator (2)spectral asymptotics (2)$\delta$-interaction (1)$\delta$-shell interactions (1)$A_p$ weights (1)asymptotic expansion by $\Gamma$-convergence (1)Boundary integral equation (1)Bourgain's space (1)... másFecha
2016 (23)

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