Results 21 to 25 of about 520 (25)

A stability result for nonlinear Neumann problems under boundary variations [PDF]

arXiv, 2002
In this paper we study, in dimension two, the stability of the solutions of some nonlinear elliptic equations with Neumann boundary conditions, under perturbations of the domains in the Hausdorff complementary topology.
arxiv  

Some remarks about the positivity of random variables on a Gaussian probability space [PDF]

arXiv, 2004
Let $(W,H,\mu)$ be an abstract Wiener space and $L$ be a probability density of class LlogL. Using the measure transportation of Monge-Kantorovitch, we prove that the kernel of the projection of L on the second Wiener chaos defines an (Hilbert-Schmidt) operator which is lower bounded by another Hilbert-Schmidt operator.
arxiv  

L2 formulation of multidimensional scalar conservation laws [PDF]

arXiv, 2006
We show that Kruzhkov's theory of entropy solutions to multidimensional scalar conservation laws can be entirely recast in L2 and fits into the general theory of maximal monotone operators in Hilbert spaces. Our approach is based on a combination of level-set, kinetic and transport-collapse approximations, in the spirit of previous works by Giga ...
arxiv  

Mordukhovich derivatives of the normalized duality mapping in Banach spaces [PDF]

arXiv
In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0,1].
arxiv  

General monotonicity [PDF]

arXiv
This article employs techniques from convex analysis to present characterizations of (maximal) $n-$monotonicity, similar to the well-established characterizations of (maximal) monotonicity found in the existing literature. These characterizations are further illustrated through examples.
arxiv