Results 1 to 10 of about 646 (25)

Locality properties of standard homogenization commutator [PDF]

arXiv, 2021
In the present work we study how the standard homogenization commutator, a random field that plays a central role in the theory of fluctuations, quantitatively decorrelates on large scales.
arxiv  

Strong unique continuation for general elliptic equations in 2D [PDF]

J. Math. Anal. App. 386 (2012) 669--676, 2010
We prove that solutions to elliptic equations in two variables in divergence form, possibly non-selfadjoint and with lower order terms, satisfy the strong unique continuation property.
arxiv   +1 more source

Liouville's theorem for the generalized harmonic function [PDF]

Anal. Math. Phys. 10 (2020), no. 4, 2018
In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
arxiv   +1 more source

Hölder estimates for linear second order equations [PDF]

, 2010
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
arxiv   +1 more source

Stability Of contact discontinuity for steady Euler System in infinite duct [PDF]

, 2011
In this paper, we prove structural stability of contact discontinuities for full Euler system.
arxiv   +1 more source

On the absence of solutions of differential inequalities with $\infty$-Laplacian [PDF]

arXiv, 2022
For differential inequalities with the $\infty$-Laplacian in the principal part, we obtain conditions for the absence of solutions in unbounded domains. Examples are given to demonstrate the accuracy of these conditions.
arxiv  

A Uniqueness and Periodicity Result for Solutions of Elliptic Equations in Unbounded Domains [PDF]

arXiv, 2007
We proof a uniqueness and periodicity theorem for bounded solutions of uniformly elliptic equations in certain unbounded domains.
arxiv  

Boundary behavior for a singular quasi-linear elliptic equation [PDF]

arXiv, 2012
In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
arxiv  

Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators [PDF]

arXiv, 2004
For any fixed $p>2$, a necessary and sufficient condition is obtained for the boundedness of the Riesz transforms associated with second order elliptic operators with real, symmetric, bounded measurable coefficients.
arxiv  

Parabolic and elliptic equations with VMO coefficients [PDF]

arXiv, 2005
An $L_{p}$-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all functions independent of $x$. Weak uniqueness of the martingale problem associated with such equations is obtained.
arxiv