• Publications
  • Influence
Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity
Abstract The strain field ɛ ( x ) in an infinitely large, homogenous, and isotropic elastic medium induced by a uniform eigenstrain ɛ 0 in a domain ω depends linearly upon ɛ 0 : ɛ ij ( x ) = S ijkl ω
Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets
In the recent work [DFM1, DFM2] G. David, J. Feneuil, and the first author have launched a program devoted to an analogue of harmonic measure for lower-dimensional sets. A relevant class of partial
The Dirichlet problem in domains with lower dimensional boundaries
The present paper pioneers the study of the Dirichlet problem with $L^q$ boundary data for second order operators with complex coefficients in domains with lower dimensional boundaries, e.g., in
BMO Solvability and A ∞ Condition of the Elliptic Measures in Uniform Domains
We consider the Dirichlet boundary value problem for divergence form elliptic operators with bounded measurable coefficients. We prove that for uniform domains with Ahlfors regular boundary, the BMO
U.S. Millennials� Intention to Donate Used Clothing: A Study of the Determinants
While there is vast information on the spending power of millennials and potential for them to contribute to sustainable apparel movement, there is alack of knowledge on the factors that motivate
Uniform rectifiability and elliptic operators with small Carleson norm
In this paper we prove that for a family of second order divergence form elliptic operators the A∞ properties of the corresponding elliptic measures with respect to the surface measure of a uniform
BMO Solvability and $$A_{\infty }$$A∞ Condition of the Elliptic Measures in Uniform Domains
We consider the Dirichlet boundary value problem for divergence form elliptic operators with bounded measurable coefficients. We prove that for uniform domains with Ahlfors regular boundary, the BMO
Boundary rectifiability and elliptic operators with W1,1 coefficients
Abstract We consider second-order divergence form elliptic operators with W1,1{W^{1,1}} coefficients, in a uniform domain Ω with Ahlfors regular boundary. We show that the A∞{A_{\infty}} property of
Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition
The present paper, along with its companion [Hofmann, Martell, Mayboroda, Toro, Zhao, arXiv:1710.06157], establishes the correspondence between the properties of the solutions of a class of PDEs and
Analysis and research prospect of lightning-induced voltages in overhead transmission lines
The evaluation of electromagnetic transients in overhead power lines due to nearby lightning return strokes requires accurate models for the calculation of both the incident lightning electromagnetic
...
1
2
3
...