A Geometric Approach to the Calderón-Zygmund Estimates

By Lihe Wang. 2003

149 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/abdc446fc5c21a55168d08b75b5858ee3d2988b2

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In Applied Mathematics

1. Sun-Sig Byun
2. N. Phuc
3. Lihe Wang
4. Zhongwei Shen
5. Shulin Zhou
6. Fengping Yao
7. Huilian Jia
8. Giuseppe Mingione

In Computational Theory and Mathematics

1. Sun-Sig Byun
2. N. Phuc
3. Lihe Wang
4. Zhongwei Shen
5. Shulin Zhou
6. Fengping Yao
7. Huilian Jia
8. Giuseppe Mingione

Citations in the corpus

• Boundary Estimates in Elliptic Homogenization (2015, methodology): “Our approach to the W 1,p estimates is based on a real-variable argument, which originated in [11] and further developed in [45, 39, 40].”
• Parabolic Equations in Reifenberg Domains (2005, methodology): “Lemma 3 (see [34]).”
• Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations (2013, methodology): “designed so that the following technical lemma can be applied. A proof of this lemma, which uses Lebesgue Differentiation Theorem and the standard Vitali covering lemma, can be found in [24]. See also [38, 5]. In a sense this lemma plays a role similar to that of the famous Calder´on-Zygmund-Krylov-S”
• Elliptic equations with BMO coefficients in Lipschitz domains (2004, methodology): “In this paper, we will employ the method used in [33] to investigate the minimal requirements on the coefficients and the smoothness requirement on the domains for the following Dirichlet problem:”
• Optimal regularity for the Poisson equation (2009, methodology): “Moreover, Wang [13] gave a new proof of local L estimates for the Poisson and heat equation by a geometric approach, in which the Hardy-Littlewood maximal function, modified Vitali covering lemma, and compactness method are used.”
• Morrey global bounds and quasilinear Riccati type equations below the natural exponent (2014, background): “A version of this lemma appeared for the first time in [58].”
• Nonlinear gradient estimates for elliptic equations of general type (2012, methodology): “The proof is similar to that in [6,24].”