Variable splitting schemes for the function space TV-model in its primal and pre-dual formulations are considered. In the primal splitting formulation, while existence of a solution cannot be guaranteed, it is shown that quasi-minimizers of the penalized problem are asymptotically related to the solution of the original TV-model. On the other hand, for the pre-dual formulation a family of param...

‎By considering a degenerate $p(x)-$Laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent Sobolev space is presented‎. ‎Multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding Nehari manifold‎. 

Background and aims The aim for this study was to assess the construct validity and reliability of the Health Dialogue Questionnaire (HDQ©) for eleventh grade in school through comparison of the HDQ© with Paediatric Quality Of Life Inventory (PedsQL™), Local monitoring of youth policy questionnaire (LUPP®), Health behaviour in Swedish school-aged children (HBSC©), Equal health (EH©) and The Swe...

We experimentally explore the effects and interactions of three variables considered important when bargaining over a jointly produced surplus: performance information, production uncertainties when translating performance into output, and subjective entitlements derived from the production process. We find that without performance information subjective entitlements are mostly mutually consist...

Purpose: We propose in this paper to analyze what are the factors that influence knowledge transfer both intra and intergenerational in family firms. The main objective is to establish a framework that can be used later in empirical research, although we maintain a completely theoretical approach in this paper Design/methodology/approach: This study, which is a comprehensive framework character...

A functional approach for the study of the random walks in random sceneries (RWRS) is proposed. Under fairly general assumptions on the random walk and on the random scenery, functional limit theorems are proved. The method allows to study separately the convergence of the walk and of the scenery: on the one hand, a general criterion for the convergence of the local time of the walk is provided...

The theory of c-frames and c-Bessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of c-Bessel mappings.We show that for a c-Bessel mapping $f$, a retrievalformula with respect to a c-Bessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a c-Besselmapping which  wea...

We define a notion of cosheaves on diffeological spaces by cosheaves on the site of plots. This provides a framework to describe diffeological objects such as internal tangent bundles, the Poincar'{e} groupoids, and furthermore, homology theories such as cubic homology in diffeology by the language of cosheaves. We show that every cosheaf on a diffeological space induces a cosheaf in terms of t...

Great effort has been made toward defining and characterizing the pre-ictal state. Many studies have pursued the idea that there are recognizable electrographic (EEG-based) features which occur before overt clinical seizure activity. However, development of reliable EEG-based seizure detection and prediction algorithms has been difficult. In this review, we discuss the concepts of seizure detec...