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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...
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.
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 ...