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Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
H¨older regularity integro-differential equations L´ evy operators general non-local operators
2010/11/29
This paper is concerned with H¨older regularity of viscosity solutions of second-order, fully
non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we ass...
On continuity and invariance of the Alvarez class under deformation
continuity invariance of the Alvarez class deformation
2010/11/30
A manifold M with a foliation F is minimizable if there exists a Riemannian metric g on M such that every leaf of F is a minimal submanifold of (M, g).
Continuity of Pseudo-Differential Operator $h_{\mu,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces
Hankel transformation Hankel translation Hankel convolu-tion Pseudo-differential operator
2010/12/9
The Pseudo-Differential Operator (p.d.o.) hμ,a associated with the Bessel Operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequenc...
Approximations and Lipschitz continuity in p-adic semi-algebraic and subanalytic geometry
Approximations Lipschitz continuity p-adic semi-algebraic subanalytic geometry
2010/12/8
It was already known that a p-adic, locally Lipschitz continuous semialgebraic function is piecewise Lipschitz continuous, where the pieces can be taken semi-algebraic.
Absolute continuity under flows generated by SDE with measurable drift coefficient
Stochastic differential equation strong solution density estimate
2010/12/14
We consider the Itˆo SDE with non-degenerate diffusion coefficient and measurable drift
coefficient. Under the condition that the gradient of the diffusion coefficient and the divergences of the...
Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
modulus of continuity uncentered Hardy-Littlewood maximal function
2010/12/1
We obtain sharp bounds for the modulus of continuity of the uncentered maxi-mal function in terms of the modulus of continuity of the given function, via integral formulas.
Geometric continuity and compatibility conditions for 4-patch surfaces
4-patch surface tangent plane continuity curvature continuity compatibility conditions
2010/11/29
When considering regularity of surfaces, it is its geometry that is of interest. Thus, the concept of geometric regularity or geometric continuity of a specific order is a relevant concept. In this pa...
Floer homology and its continuity for non-compact Lagrangian submanifolds
Floer homology non-compact Lagrangian submanifolds
2010/3/1
We give a construction of the Floer homology of the pair of vnon-compact Lagrangian submanifolds, which satisfies natural continuity property under the Hamiltonian isotopy that moves the infinity but ...
On the continuity of functions
nonstandard Analysis convex functions continuity compact set convex set
2009/3/3
Some theorems on continuity are presented. First we will prove
that every convex function f : Rn ! R is continuous using nonstandard
analysis methods. Then we prove that if the image of every compac...
Lipschitz Continuity of the State Function in a Shape Optimization Problem
Lipschitz State Function Optimization Problem
2009/1/20
This paper deals with the existence and the regularity of state function $u$ in an $N$-dimensional shape optimization problem. We use a variational approach to get the existence of a solution $u$ of a...
On the Continuity of Mean Flow between the Scotian Shelf and the Middle Atlantic Bight
shelf mean flow Scotian Shelf Middle Atlantic Bight
2009/1/12
Oxygen-isotope tracer data combined with results from two linear barotropic coastal models are used to argue that the observed equatorward mean alongshelf flow in the Middle Atlantic Bight is a downst...
On the continuity of functions
nonstandard Analysis convex functions continuity compact set convex set
2009/1/6
Some theorems on continuity are presented. First we will prove
that every convex function f : Rn ! R is continuous using nonstandard
analysis methods. Then we prove that if the image of every compac...
H¨older Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Navier-Stokes equations H¨older continuity singular forcing.
2014/4/3
We discuss the regularity of solutions of 2D incompressible NavierStokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes...
Some results concerning quasi-continuity and fragmentability
Quasi-open sets Quasi-continuity Fragmentability
2010/9/10
We shall show that every quasi-continuous mapping g : Z −→ X of a topological space Z into a topological space X which has countable base can be discontinuous only on a set of first category. Al...
Technical Note: Continuity of MIPAS-ENVISAT operational ozone data quality from full- to reduced-spectral-resolution operation mode
MIPAS-ENVISAT operational ozone reduced-spectral-resolution
2008/11/5
MIPAS (Michelson Interferometer for Passive Atmospheric Sounding) is operating on the ENVIronmental SATellite (ENVISAT) since March 2002. After two years of nearly continuous limb scanning measurement...