Search results for "DIR"
showing 10 items of 10242 documents
Uniqueness of diffusion on domains with rough boundaries
2016
Let $\Omega$ be a domain in $\mathbf R^d$ and $h(\varphi)=\sum^d_{k,l=1}(\partial_k\varphi, c_{kl}\partial_l\varphi)$ a quadratic form on $L_2(\Omega)$ with domain $C_c^\infty(\Omega)$ where the $c_{kl}$ are real symmetric $L_\infty(\Omega)$-functions with $C(x)=(c_{kl}(x))>0$ for almost all $x\in \Omega$. Further assume there are $a, \delta>0$ such that $a^{-1}d_\Gamma^{\delta}\,I\le C\le a\,d_\Gamma^{\delta}\,I$ for $d_\Gamma\le 1$ where $d_\Gamma$ is the Euclidean distance to the boundary $\Gamma$ of $\Omega$. We assume that $\Gamma$ is Ahlfors $s$-regular and if $s$, the Hausdorff dimension of $\Gamma$, is larger or equal to $d-1$ we also assume a mild uniformity property for $\Omega$ i…
Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term
2001
Abstract Our aim in this article is to study the following nonlinear elliptic Dirichlet problem: − div [a(x,u)·∇u]+b(x,u,∇u)=f, in Ω; u=0, on ∂Ω; where Ω is a bounded open subset of RN, with N>2, f∈L m (Ω) . Under wide conditions on functions a and b, we prove that there exists a type of solution for this problem; this is a bounded weak solution for m>N/2, and an unbounded entropy solution for N/2>m⩾2N/(N+2). Moreover, we show when this entropy solution is a weak one and when can be taken as test function in the weak formulation. We also study the summability of the solutions.
Querelle épigraphique entre deux savants : l’exemple de la correspondance, publiée dans la Revue archéologique de 1847, entre Antoine-Jean Letronne e…
2020
Although Roman inscriptions have attracted interest since the Renaissance, epigraphy was not acknowledged as a science in its own right, with its own ruleset and methods, until the mid-19th century. Henceforth every newly discovered inscription was duly documented and distributed across an ever-growing and influential network of European scholars, giving birth to an extensive system of scholarly correspondence connecting every individual researcher with the community, from the provincial antiquarian who, as a precursor to « field archaeology », would discover the inscriptions, to the Parisian scholar who would gather and examine every inscription sent his way. One such epistolary intercours…
Special Splines of Exponential Type for the Solutions of Mass Transfer Problems in Multilayer Domains
2016
We consider averaging methods for solving the 3-D boundary-value problem of second order in multilayer domain. The special hyperbolic and exponential type splines, with middle integral values of piece-wise smooth function interpolation are considered. With the help of these splines the problems of mathematical physics in 3-D with piece-wise coefficients are reduced with respect to one coordinate to 2-D problems. This procedure also allows to reduce the 2-D problems to 1-D problems and the solution of the approximated problemsa can be obtained analytically. In the case of constant piece-wise coefficients we obtain the exact discrete approximation of a steady-state 1-D boundary-value problem.…
Digital indirect bonding technique: a literature review
2021
Growth of immobilized DNA by polymerase: bridging nanoelectrodes with individual dsDNA molecules.
2011
We present a method for controlled connection of gold electrodes with dsDNA molecules (locally on a chip) by utilizing polymerase to elongate single-stranded DNA primers attached to the electrodes. Thiol-modified oligonucleotides are directed and immobilized to nanoscale electrodes by means of dielectrophoretic trapping, and extended in a procedure mimicking PCR, finally forming a complete dsDNA molecule bridging the gap between the electrodes. The technique opens up opportunities for building from the bottom-up, for detection and sensing applications, and also for molecular electronics.
Nonlinear pressure dependence of the direct band gap in adamantine ordered-vacancy compounds
2010
A strong nonlinear pressure dependence of the optical absorption edge has been measured in defect chalcopyrites CdGa{sub 2}Se{sub 4} and HgGa{sub 2}Se{sub 4}. The behavior is due to the nonlinear pressure dependence of the direct band-gap energy in these compounds as confirmed by ab initio calculations. Our calculations for CdGa{sub 2}Se{sub 4}, HgGa{sub 2}Se{sub 4} and monoclinic {beta}-Ga{sub 2}Se{sub 3} provide evidence that the nonlinear pressure dependence of the direct band-gap energy is a general feature of adamantine ordered-vacancy compounds irrespective of their composition and crystalline structure. The nonlinear behavior is due to a conduction band anticrossing at the {Gamma} po…
L’autonomia di spesa delle Regioni fra Stato ed Unione europea dalla l. cost. 3/2001 alle condizionalità europee sulla ripresa e la resilienza
2021
L'articolo ricostruisce la tendenza all’accentramento nel governo delle finanze pubbliche e l’eccessiva distanza fra testo costituzionale e diritto costituzionale vivente per analizzare l'attuazione del Recovery Plan (PNRR) rilevando un ulteriore tendenza all’accentramento del governo della spesa. Si indagano dunque le ragioni della compressione dell’autonomia finanziaria di spesa per effetto del principio di indifferenza e del “doppio intreccio federale”. Si mira a inquadrare il tema alla luce della leale collaborazione e dellala resilienza istituzionale per accorciare la “distanza” fra testo costituzionale ed attuazione costituzionale in tema di autonomia di spesa delle Regioni. Si prospe…
Parliamentary Democracy Versus Direct Democracy? : Challenging Liberal, Representative Democracy in the German Bundestag During the Anti-nuclear Demo…
2019
In German politics, concepts of parliamentarism and the relationship between parliamentarism and democracy have evolved since the nineteenth century. Politicians, citizens and scholars have regularly redefined and challenged conceptions of parliament’s task of representation, public debate and legitimate decision-making in different historical circumstances. One such crucial phase in re-evaluating and redefining conceptions of democracy in Germany was the second half of the 1990s, when a vigorous anti-nuclear movement arose. In the German federal parliament, members had to explain their understandings of German democracy. The tradition of liberal, representative democracy was in a conflict …
On the methods of nonsmooth optimization
2005
In this paper we shall give a short derivation of the most promising methods in nonsmooth optimization, namely bundle methods. We introduce the basic bundle idea due to Lemarechal and several modifications by Kiwiel, Schramm and Zowe. To the end we shall give some numerical results comparing the efficience of these methods. As test problems we have used well-known test problems from litterature and in addition we shall give some contributions to nonsmooth optimal control problems.