Search results for "nuit"
showing 10 items of 553 documents
Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data
2018
We prove boundedness and continuity for solutions to the Dirichlet problem for the equation $$ - {\rm{div}}(a(x,\nabla u)) = h(x,u) + \mu ,\;\;\;\;\;{\rm{in}}\;{\rm{\Omega }} \subset \mathbb{R}^{N},$$ where the left-hand side is a Leray-Lions operator from $$- {W}^{1,p}_0(\Omega)$$ into W−1,p′(Ω) with 1 < p < N, h(x,s) is a Caratheodory function which grows like ∣s∣p−1 and μ is a finite Radon measure. We prove that renormalized solutions, though not globally bounded, are Holder-continuous far from the support of μ.
Evolution Problems Associated to Linear Growth Functionals: The Dirichlet Problem
2003
Let Ω be a bounded set inIR N with Lipschitz continuous boundary ∂Ω. We are interested in the problem
Nonlinear Diffusion in Transparent Media
2021
Abstract We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its gradient, it is homogeneous, and it depends only on the direction of the gradient. For such equation, we obtain existence and uniqueness of entropy solutions to the Dirichlet problem, the homogeneous Neumann problem, and the Cauchy problem. Qualitative properties of solutions, such as finite speed of propagation and the occurrence of waiting-time phenomena, with sharp bounds, are shown. We also discuss the formation of jump discontinuities both at the boundary of the solutions’ support and in the bulk.
Riconfigurazioni identitarie nei contesti urbani degradati: discontinuità e riflessività
2019
Che rilevanza ha il contesto territoriale nei percorsi biografici dei residenti? Che significato assumono in un determinato territorio i turning point, le discontinuità, gli eventi imprevisti che si verificano nella vita degli individui? E ancora, perché soggetti che nascono e vivono in ambienti degradati economicamente e culturalmente riescono a cambiare il corso della propria vita che sembrerebbe ripetersi con modalità abituali per altri consociati (familiari o residenti) con esiti di degrado personale o marginalità sociale? Nell’articolo, attraverso i dati di una ricerca si svilupperà la relazione che intercorre tra discontinuità biografiche e riflessività che nei turning point influenza…
Qui suis-je
2020
The scarcity of research on French immersion teachers’ professional identity contrasts with the increasing popularity of French immersion programs in Canada and the concomitant need for French immersion teachers. This study explores the professional identity negotiation of four French immersion teachers in Alberta, Canada, with a focus on discontinuity. Semi-structured interviews conducted face-to-face with the participants were analysed using dialogic narrative analysis. The findings highlight how discontinuity is occasioned by a change in knowledge about the French immersion teaching as a profession, encountering classroom realities, shifting one’s values concerning second language learni…
Continuity and discontinuity in the semantics of the Latin preposition per: a cognitive hypothesis
2011
Abstract We propose a description of the semantic network of the Latin prepositional phrase per ‘through’ + Accusative in the early stage of this language. Drawing upon the insights of Cognitive Grammar, we analyze the role of the schematic import in the spread from basic to abstract meanings. Finally, we draw a map of the polysemous network of per, showing that the continuity of the different, but consistently linked, meanings does not necessarily imply the unidirectionality of the concrete-to-abstract shifts.
On Uncertain Discontinuous Functions and Quasi-equilibrium in Some Economic Models
2020
In the paper is studied some properties of uncertain discontinuous mappings, the so-called w-discontinuous mappings. Based on them, the existence of a quasi-equilibrium for a new economic model is proved.
On the Problem of Well-Posedness for the Radon Transform
1981
In this note, we first discuss some continuity and discontinuity properties of the inverse Radon transform (R.t.). Any such property gives a positive (or negative) answer to the question, whether under certain contitions the problem of inverting the R.t. is well-posed.
Absolutely continuous functions with values in a Banach space
2017
Abstract Let Ω be an open subset of R n , n > 1 , and let X be a Banach space. We prove that α-absolutely continuous functions f : Ω → X are continuous and differentiable (in some sense) almost everywhere in Ω.
A note on best approximation in 0-complete partial metric spaces
2014
We study the existence and uniqueness of best proximity points in the setting of 0-complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. We introduce some new concepts and consider significant theorems to support this fact.