Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains
By Zhongwei Shen. 2003
54 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/e1d81f9ddc9e5af3dcfd08bb7d5aab07bd8ce06f
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In Applied Mathematics
- Yanping Chen
- Xinxia Wang
- Yong Ding
- Jin Tao
- Zhongwei Shen
- Carlos E. Kenig
- S. Armstrong
- Jean-Christophe Mourrat
In Computational Theory and Mathematics
- Yanping Chen
- Xinxia Wang
- Yong Ding
- Zhongwei Shen
- Carlos E. Kenig
- S. Armstrong
- Jean-Christophe Mourrat
- Tuomo Kuusi
Citations in the corpus
- Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces (2018, background): “We only mention that, since they were introduced by Morrey in [31], Morrey spaces have proved very useful in PDEs; see, for example, [31, 22, 13, 34] and references therein.”
- Compactness of Commutators for Singular Integrals on Morrey Spaces (2012, background): “Later, the Morrey spaces were found to have many important applications to the Navier– Stokes equations (see [28, 31, 47]), the Schrödinger equations (see [36, 37, 42, 43]), the elliptic equations with discontinuous coefficients (see [7, 12, 18, 20, 24, 35]) and the potential analysis (see [1, 2]).”
- Necessary and Sufficient Conditions for the Solvability of the Lp Dirichlet Problem on Lipschitz Domains (2005, background): “However, in the case n ≥ 4, these decay estimates only yield the solvability of the Dirichlet problem in certain Morrey spaces and weighted L2 spaces with power weights [34,35].”
- The L^p Dirichlet problem for elliptic systems on Lipschitz domains (2004, background): “Recently in [ S3 , S4], we extended this approach to higher dimensions.”
- Compactness of Commutators of Riesz Potential on Morrey Spaces (2009, methodology): “Later, Morrey spaces were found many important applications to the Navier-Stokes equations (see [12]), the Schr ¨ odinger equations (see [15 ]a nd [ 16 ]) and the elliptic”