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Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
cosine law stochastic billiard Knudsen random wal random medium random walk in random environment unbounded
2010/11/26
We consider a random walk in a stationary ergodic environment
in Z, with unbounded jumps. In addition to uniform ellipticity and a bound on the tails of the possible jumps, we assume a condition of s...
Elliptic operators with unbounded diffusion coefficients in Lp spaces
elliptic operators unbounded coefficients generation results analytic semigroups
2010/12/1
In this paper we prove that, under suitable assumptions on > 0, the operator L = (1+|x| ) admits realizations generating contraction or analytic semigroups in Lp(RN). For some values of , we also ...
Existence of translating solutions to the flow by powers of mean curvature on unbounded domains
Dirichlet problem mean curvature flow elliptic equation unbounded domain.
2010/12/7
In this paper, we prove the existence of classical solutions of the Dirichlet problem for a class of quasi-linear elliptic equations on unbounded domains like a cone or a U-type domain in Rn(n ≥ 2). T...
Nikishin systems are perfect. Case of unbounded and touching supports
Nikishin systems perfect Case of unbounded touching supports
2010/12/3
K. Mahler introduced the concept of perfect systems in the theory of simultaneous Hermite-Pad´e approximation of analytic functions. Recently, we proved that Nikishin systems,generated by measur...
Locally Perturbed Random Walks with Unbounded Jumps
Random walk local impurities infinite horizon weak convergence Brownian motion local limit theorem
2010/12/8
In [17], D. Szász and A. Telcs have shown that for the diffusively scaled,simple symmetric random walk, weak convergence to the Brownian motion holds even in the case of local impurities if d ≥ 2.
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres
Stationary nonlinear Schr¨odinger equation semiclassical states semilinear
2010/12/6
We study positive bound states for the equation −"2u + V (x)u = K(x)f(u), x 2 RN,where " > 0 is a real parameter and V and K are radial positive potentials.We are especially interested in solut...
Unbounded Linear Monotone Operators on Nonreflexive Banach Spaces
Linear Monotone Operators Nonreflexive Banach Spaces
2009/1/23
This study of unbounded linear monotone operators $T\colon E \to E^*$ for nonreflexive Banach spaces $E$ was motivated by the (still open) problem of distinguishing between several well-studied classe...
Convergence of Unbounded Multivalued Supermartingales in the Mosco and Slice Topologies
Unbounded Multivalued Supermartingales Mosco Slice Topologies
2009/1/22
Our starting point is the Mosco-convergence result due to Hess ([18]) for integrable multivalued supermartingales whose values may be unbounded, but are majorized by a $w$-ball-compact-valued function...
The Distribution of Unbounded Random Sets and the Multivalued Strong Law of Large Numbers in Nonreflexive Banach Spaces
distribution of random sets multivalued strong law of large numbers set convergence measurable multifunctions convex sets
2009/1/20
In the first part, we introduce appropriate tools concerning the distribution of random sets. We study the relation between the distribution of a random set, whose values are closed subsets of a Banac...
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...
Two Topics in Dominance Relations for the Unbounded Knapsack Problem
Combinatorial optimisation Unbounded knapsack problem Dominance relation Polynomially solvable special case
2008/11/10
On the unbounded knapsack problem, dominance relations play a crucial role to reduce items to be considered in a given instance. This article picks up two topics in dominance relations. One is a conne...
EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN
Exponential attractor Ginzbur
2007/12/11
In this paper, the existence of the exponential attractors for the Ginzburg-Landau-BBM equations in an unbounded domain is proved by using weighted function and squeezing property.
ATTRACTORS FOR GENERALIZED GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN
unbounded domain weighted spa
2007/12/10
By the interpolation inequality and a priori estimates in the weighted space, the existence of global solutions for generalized Ginzburg-Landau equation coupled with BBM equation in an unbounded domai...
A Non-overlapping Domain Decomposition for Low-frequency Time-harmonic Maxwell's Equations in Unbounded Domains
Maxwell's equations unbounded domains domain decomposition boundary integral N秂d秂lec 痭ite elements D-N alternation
2012/8/1
In this paper, we are concerned with a non-overlapping domain decomposition method for solving the low-frequency time-harmonic Maxwell's equations in unbounded domains.This method can be viewed as a c...
A Mortar Element Method for Coupling Natural Boundary Element Method and Finite Element Method for Unbounded Domain Problem
Model problem and discretization Error estimate
2012/7/31
In this paper, a mortar element method is presented for coupling natural boundary element method and nite element method for the Dirichlet exterior problem.
Optimal error estimate is obtained and so...