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NONLINEAR MAXIMUM PRINCIPLES FOR DISSIPATIVE LINEAR NONLOCAL OPERATORS AND APPLICATIONS
NONLINEAR MAXIMUM PRINCIPLES DISSIPATIVE LINEAR NONLOCAL OPERATORS APPLICATIONS
2014/4/3
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of glo...
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Sobolev spaces Riemannian manifold algebra rule paraproducts heat semigroup
2011/9/15
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
Weighted Local Orlicz-Hardy Spaces with Applications to Pseudo-differential Operators
Local Orlicz-Hardy Spaces Pseudo-differential Operators Classical Analysis and ODEs
2011/9/13
Abstract: Let $\Phi$ be a concave function on $(0,\infty)$ of strictly lower type $p_{\Phi}\in(0,1]$ and $\omega\in A^{\mathop\mathrm{loc}}_{\infty}(\mathbb{R}^n)$. We introduce the weighted local Orl...
The Super Operator System Structures and their applications in Quantum Entanglement Theory
operator system operator space quantum information theory quantum entanglement Schmidt number
2011/9/5
Abstract: An operator system $\cl S$ with unit $e$, can be viewed as an Archimedean order unit space $(\cl S,\cl S^+,e)$. Using this Archimedean order unit space, for a fixed $k\in \bb N$ we construct...
Lagrangian blow-ups, blow-downs, and applications to real packing
Lagrangian blow-ups blow-downs applications real packing
2011/1/18
Given a symplectic manifold (M; !) and a Lagrangian submanifold L, we construct versions of the symplectic blow-up and blow-down which are defined relative to L.
In this survey we consider main transmutation theory topics with many applications, including author’s own results. The topics covered are: transmutations for Sturm–Liouville operators,
Vekua–Erdelyi...
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
equivariant implicit function theorem low regularity and applications variational problems
2010/12/14
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...
Applications of variational analysis to a generalized Fermat-Torricelli problem
Variational analysis and optimization generalized Fermat-Torricelli problem
2010/12/1
In this paper we develop new applications of variational analysis and generalized differ-
entiation to the following optimization problem and its specifications: given n closed subsets of a Banach sp...
Information theory of quantum systems with some hydrogenic applications
information theory quantummechanics Fisher information Shannon entropy
2010/12/15
The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed.
Gallavotti-Cohen-Type symmetry related to cycle decompositions for Markov chains and biochemical applications
cycle decompositions Markov chains biochemical applications
2010/12/10
We slightly extend the fluctuation theorem obtained in [24] for sums of generators, considering continuous–time Markov chains on a finite state space whose underlying graph has multiple edges and no l...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation
2010/11/29
Conditions for the second-order linear differential equation X3 i=0 a3,ixi ! y′′ + X2 i=0 a2,ixi ! y′− X1 i=0 τ1,ixi! y = 0 to have polynomial solutions are given. Several application of these r...
Occupation and Local Times for Skew Brownian Motion with Applications to Dispersion Across an Interface
Skew Brownian motion advection-diffusion local time
2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.
Some Applications of the Generalized Bernardi-Libera-Livingston Integral Operator on Univalent Functions
Analytic function Integral operator Univalent function
2010/4/16
In this paper by making use of the generalized Bernardi-Libera-Livingston integral operator we introduce and study some new subclasses of univalent functions. Also we investigate the relations between...
Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces
admissible set-valued mapping generalized $R$-KKM mapping transfer compactly open-valued compactly local intersection property multiobjective game
2007/12/11
Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approx...
Some Applications of the Lattice Finite Representability in Spaces of Measurable Functions
Integral operators Ultraproducts of spaces and maps
2010/3/1
We study the lattice finite representability of the Bochner space Lp(m1,Lq(m2)) in \ellp{\ellq}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice ...