We present a formulation for the weak enforcement of continuity conditions at material interfaces in high-order problems by means Nitsche's method, which is particularly suited unfitted discretizations. This extended to impose generalized periodicity unit cell boundaries periodic structures. The derived flexoelectricity, electromechanical coupling between strain gradient and electric field, mat...

BACKGROUND The high comorbidity between depressive and anxiety disorders, especially among females, has called into question the independence of these two symptom groups. It is possible that childhood anxiety typically precedes depression in girls. Comparing of the predictive utility of symptoms of anxiety with the predictive utility of symptoms of depression from early childhood to early adole...

In this paper, we prove two estimates useful in applications for the Fourier-Bessel transform space Lp(R2+,x2?1+1y2?2+1dxdy), (1 < p ? 2), as applied to some classes of functions characterized by a generalized modulus continuity.

1 Introduction Contour and solid modulus of continuity. The one-dimensional case There has been an extensive study of the relation between the " contour " and the " solid " moduli of continuity for analytic functions in planar domains, starting with the following beautiful result of Hardy and Littlewood. For a domain G in C n (n ≥ 1) we denote as usual by A(G) the algebra of analytic functions ...

We present results for the existence of solutions for variational inequalities given by generalized monotone operators. As a consequence we establish surjectivity, and we obtain, in particular, results for the existence of zeroes of some class of set-valued operators. Furthermore, by strengthening the continuity assumption on the operator, we deduce its surjectivity without any monotonicity ass...

For a general class of stochastic differential equations with reflection that admit a Markov weak solution and satisfy a certain L continuity condition, p > 1, it is shown that the associated reflected diffusion can be decomposed as the sum of a local martingale and a continuous, adapted process of zero p-variation. In particular, when p = 2, this implies that the associated reflected diffusion...

Consider a mean-reverting equation, generalized in the sense it is driven by a 1-dimensional centered Gaussian process with Hölder continuous paths on [0, T ] (T > 0). Taking that equation in rough paths sense only gives local existence of the solution because the non-explosion condition is not satisfied in general. Under natural assumptions, by using specific methods, we show the global existe...

Generalized processor sharing has been proposed as a policy for distributing processing in a fair manner between diierent data classes in high-speed networks. In this paper we show how recent results on the Skorokhod Problem can be used to construct and analyze the mapping that takes the input processes into the buuer content. More precisely, we show how to represent the map in terms of a Skoro...