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A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
Corrigendum for the comparison theorem in "A new definitions for a class of integro-differential equatons"
Corrigendum comparison theorem "A new definitions class of integro-differential equatons"
2011/1/21
In this note, we shall present the correction of the proofs of the compar-ison results in the paper [1]. In order to show clearly the correct way of the demonstration, we shall simplify the problem to...
Elliptical Weighted HOLICs for Weak Lensing Shear Measurement. part1:Definitions and isotropic PSF correction
Cosmology and Extragalactic Astrophysics (astro-ph.CO)
2010/12/23
We develop a new method to estimate gravitational shear by adopting an elliptical weight function to measure background galaxy images. In doing so, we introduce a new concept of "zero plane" which is ...
On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties
Haussdorf projective limits C-algebras AW-algebras
2011/2/25
We introduce and study locally AW-algebras (Baer locally C-algebras) as a locally multiplicatively convex generalization of AW-algebras of Kaplansky. Among other basic properties of these algebras.
Some Geometric Inequalities For The Holmes-Thompson Definitions Of Volume And Surface Area In Minkowski Spaces
Convex body Isoperimetrix Mixed volume Projection body the Holmes-Thompson definitions of volume and surface area
2008/6/27
Some Geometric Inequalities For The Holmes-Thompson Definitions Of Volume And Surface Area In Minkowski Spaces.
Some thoughts on the concept of colimitation: Three definitions and the importance of bioavailability
Some thoughts the concept of colimitation Three definitions bioavailability
2014/4/21
We discuss the concept of colimitation of primary productivity in aquatic environments, with an emphasis on reconciling this concept with recent advances in marine bioinorganic chemistry. Colimitation...
Some thoughts on the concept of colimitation: Three definitions and the importance of bioavailability
concept of colimitation Three definitions mportance of bioavailability
2014/4/18
We discuss the concept of colimitation of primary productivity in aquatic environments, with an emphasis on reconciling this concept with recent advances in marine bioinorganic chemistry. Colimitation...
On The Artin Conductor fArtin(c) of a Character c of Gal (E/K) I: Basic Definitions
Artin Conductor fArtin(c) Gal (E/K)
2010/3/3
Let K be a local field with finite residue class field and E a finite Galois extension over K. In this paper, we study the Artin conductor \frak f\rm Artin(c\rho) of a character c\rho associated to a ...