Mei-Chi Shaw

Q: What Schools Are Affiliated With Mei-Chi Shaw

Mei-Chi Shaw is affiliated with the following schools: University of California, Berkeley, University of Houston, University of Notre Dame, Princeton University, National Taiwan University

Mei-Chi Shaw's AcademicInfluence.com Rankings

Mei-Chi Shaw

Mathematics

#1837

World Rank

#2927

Historical Rank

#743

USA Rank

Measure Theory

#3875

World Rank

#4568

Historical Rank

#1105

USA Rank

mathematics Degrees

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Mathematics

Why Is Mei-Chi Shaw Influential?

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According to Wikipedia, Mei-Chi Shaw is a professor of mathematics at the University of Notre Dame. Her research concerns partial differential equations. Life and career Shaw was born in Taipei, Taiwan in 1955. She graduated with an undergraduate degree in mathematics from National Taiwan University in 1977. Shaw received her PhD from Princeton University four years later in 1981, working with Joseph Kohn. She then took a postdoctoral position at Purdue University During this time, she married her husband, Hsueh-Chia Chang. In 1983, Shaw took a tenure-track position at Texas A&M University, moving to University of Houston in 1986 and finally relocating to the University of Notre Dame in 1987, first as an associate professor and then as full professor.

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Mei-Chi Shaw's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Partial differential equations in several complex variables (2001) (491)
L2 estimates and existence theorems for the tangential Cauchy-Riemann complex (1985) (109)
Global solvability and regularity for ∂ on an annulus between two weakly pseudoconvex domains (1985) (79)
Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries (1986) (68)
Estimates for the -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in (2004) (50)
The Cauchy–Riemann equations on product domains (2009) (46)
Subelliptic estimates for the $\overline{\partial}$-Neumann operator on piecewise smooth strictly pseudoconvex domains (1998) (41)
L 2 SERRE DUALITY ON DOMAINS IN COMPLEX MANIFOLDS AND APPLICATIONS (2010) (40)
THE CLOSED RANGE PROPERTY FOR ∂ ON DOMAINS WITH PSEUDOCONCAVE BOUNDARY (2009) (33)
Hölder and Lp estimates for □b on CR manifolds of arbitrary codimension (2005) (32)
Traces of differential forms on Lipschitz domains, the boundary De Rham complex, and Hodge decompositions (2008) (32)
On the Hausdorff property of some Dolbeault cohomology groups (2012) (29)
Estimates for the Open image in new window -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in Open image in new window (2004) (28)
A kernel approach to the local solvability of the tangential Cauchy Riemann equations (1985) (23)
Local existence theorems with estimates for $$\bar \partial _b $$ on weakly pseudo-convex CR manifolds (1992) (23)
Eigenfunctions of the nonlinear equation Δu+νf(x, u)=0 INR2 (1987) (22)
The Diederich–Fornæss Exponent and Non-existence of Stein Domains with Levi-Flat Boundaries (2014) (22)
The $\overline\partial$-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions (2001) (21)
The $$\bar\partial$$-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in $$\mathbb{C}P^n$$ with $$n \ge 3$$ (2007) (19)
The ∂̄-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in C Pn with n ≥ 3 (2006) (19)
Local existence theorems with estimates for ∂b on weakly pseudo-convex CR manifolds (1992) (18)
On the $L^2$-Dolbeault cohomology of annuli (2016) (17)
The d-bar-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in CP^n with n>= 3 (2006) (16)
A NEW PROOF OF THE TAKEUCHI THEOREM (2005) (16)
THE STRONG OKA’S LEMMA, BOUNDED PLURISUBHARMONIC FUNCTIONS AND THE ∂̄-NEUMANN PROBLEM (2006) (16)
Optimal Hölder and ^{} estimates for \overline∂_{} on the boundaries of real ellipsoids in ⁿ (1991) (14)
Lp estimates for local solutions of $$\bar \partial _b $$ on strongly pseudo-convex CR manifolds (1990) (14)
Optimal Hoelder and L p Estimates for ∂ b on the Boundaries of Real Ellipsoids in C n (1991) (13)
THE ∂ PROBLEM ON DOMAINS WITH PIECEWISE SMOOTH BOUNDARIES WITH APPLICATIONS (1999) (13)
A decomposition problem on weakly pseudoconvex domains (1999) (12)
$C^\infty$-regularity of solutions of the tangential CR-equations on weakly pseudoconvex manifolds (1998) (11)
The Closed Range Property for $ \bar \partial $ on Domains with Pseudoconcave Boundary (2010) (11)
THE @-EQUATION ON AN ANNULUS WITH MIXED BOUNDARY CONDITIONS (2013) (10)
Duality between Harmonic and Bergman spaces (2011) (10)
THE SMOOTHNESS OF RIEMANNIAN SUBMERSIONS WITH NON-NEGATIVE SECTIONAL CURVATURE (2003) (10)
Non-closed Range Property for the Cauchy-Riemann Operator (2015) (10)
Prescribing zeros of functions in the Nevanlinna class on weakly pseudo-convex domains in ² (1989) (10)
Solving ∂ with prescribed support on Hartogs triangles in C 2 and CP 2 (2018) (9)
A simplification of Rosay's theorem on global solvability of tangential Cauchy-Riemann equations (1986) (9)
Hodge theory on domains with conic singularities (1983) (9)
Sobolev regularity of the $$\overline{\partial }$$-equation on the Hartogs triangle (2013) (9)
The strong Oka's lemma, bounded plurisubharmonic functions and the $\overline\partial$-Neumann problem (2007) (8)
Mathematische Zeitschrift Erratum Estimates for the ∂̄-Neumann problem and nonexistence of C 2 Levi-flat hypersurfaces in C Pn (2003) (8)
Estimates for the -Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in (2004) (8)
Hölder andLp estimates for $$\bar \partial$$ b on weakly pseudo-convex boundaries in ℂ2 (1988) (7)
Hearing pseudoconvexity in Lipschitz domains with holes via $${\bar{\partial }}$$∂¯ (2017) (7)
Boundary Hölder and ^{} estimates for local solutions of the tangential Cauchy-Riemann equation (2004) (7)
The $$L^2$$L2-cohomology of a bounded smooth Stein Domain is not necessarily Hausdorff (2013) (7)
A NEW PROOF OF THE CHEEGER-GROMOLL SOUL CONJECTURE AND THE TAKEUCHI THEOREM (2003) (6)
The $\overline{\partial}$ problem on domains with piecewise smooth boundaries with applications (1999) (6)
Hearing pseudoconvexity in Lipschitz domains with holes via $\overline$ (2016) (6)
The range of the tangential Cauchy-Riemann operator over a small ball (1990) (5)
Solving $\overline\partial$ with prescribed support on Hartogs triangles in $\mathbb C^2$ and $\mathbb C\mathbb P^2$ (2016) (5)
L2 existence theorems for the $$\bar \partial _b - Neumann$$ problem on strongly pseudoconvex CR manifoldsproblem on strongly pseudoconvex CR manifolds (1991) (5)
Maximal L 2 and Pointwise Hölder Estimates for □ b on CR Manifolds of Class C 2 (2008) (5)
L estimates and existence theorems for on Lipschitz boundaries (2003) (4)
L estimates and existence theorems for $\bar\partial_b$ on Lipschit (2003) (3)
BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS IN R OR C (2004) (3)
Homotopy formulas for $\bar\partial_b$ in $CR$ manifolds with mixed Levi signatures (1997) (3)
Holomorphic approximation via Dolbeault cohomology (2019) (2)
The Diederich–Fornæss Exponent and Non-existence of Stein Domains with Levi-Flat Boundaries (2014) (2)
Extendability and the @ operator on the Hartogs triangle (2022) (2)
Bounded Plurisubharmonic Exhaustion Functions and Levi-flat Hypersurfaces (2018) (2)
Estimates for the $\bar\partial$-Neumann problem and nonexistence of Levi-flat hypersurfaces in $CP^n$ (2003) (2)
Hypoellipticity of a system of complex vector fields (1983) (2)
\bar{\partial } and {\bar{\partial }_b} Problems on Nonsmooth Domains (1999) (2)
Extendability and the $$\overline{\partial }$$ operator on the Hartogs triangle (2021) (1)
Semi-global existence theorems of b for ( 0, n-2 ) forms on pseudo-convex boundaries in Cn (2019) (1)
Semi-global existence theorems of b for ( 0, n-2 ) forms on pseudo-convex boundaries in Cn (2019) (1)
ON THE INTERPLAY BETWEEN SEVERAL COMPLEX VARIABLES, GEOMETRIC MEASURE THEORY, AND HARMONIC ANALYSIS (2009) (1)
Nonexistence of Levi-flat Hypersurfaces in Cp (2008) (1)
Embedding Compact Strongly Pseudoconvex CR Manifolds of Class C 3, α (2010) (1)
Real and complex manifolds (2001) (1)
Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$ (2022) (0)
Holomorphic approximation via Dolbeault cohomology (2020) (0)
Embeddability of abstract structures (2001) (0)
Bounded holomorphic functions on negatively curved K\"ahler manifolds of dimension $\ge 3$ (2015) (0)
The Cauchy integral formula and its applications (2001) (0)
Fundamental solutions for □_{} on the Heisenberg group (2001) (0)
Holomorphic approximation and mixed boundary value problems for $\overline \partial $ (2019) (0)
Boundary regularity for \overline∂ on pseudoconvex domains (2001) (0)
Complex Geometry and the Cauchy-Riemann Equation (2016) (0)
Subelliptic estimates for second order differential equations and □_{} (2001) (0)
Cauchy-Riemann manifolds and the tangential Cauchy-Riemann complex (2001) (0)
Holomorphic extension and pseudoconvexity (2001) (0)
Hearing pseudoconvexity in Lipschitz domains with holes via ∂¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\bar{\p (2017) (0)
MAXIMAL L AND POINTWISE HÖLDER ESTIMATES FOR b ON CR MANIFOLDS OF CLASS C (2007) (0)
Holomorphic approximation and mixed boundary value problems for $\partial$ (2019) (0)
Microlocalization and nonexistence of $C^2$ Levi-flat hypersurfaces in $\Bbb CP^2 (2008) (0)
Hodge theory on domains with cone-like or horn-like singularities (1981) (0)
Bounded Plurisubharmonic Exhaustion Functions and Levi-flat Hypersurfaces (2018) (0)
A woman mathematician’s journey (2014) (0)
Sobolev regularity of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{\partial }$$\end{document}-equatio (2012) (0)
Sobolev regularity of the $\bar{\partial}$-equation on the Hartogs triangle (2011) (0)
Estimates for $${{\overline{\partial }}}$$ on Domains in $${\mathbb {C}}^n$$ and $${\mathbb{C}\mathbb{P}}^n$$ (2023) (0)
² theory for \overline∂ on pseudoconvex domains (2001) (0)
The L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-cohomology of a bounded smooth Stein Domain (2015) (0)
The \overline∂-Neumann problem on strongly pseudoconvex manifolds (2001) (0)
Estimates for @ on Domains in C n and CP n (2023) (0)
Integral representations for \overline∂ and \overline∂_{} (2001) (0)
On the Hausdorff property of some Dolbeault cohomology groups (2012) (0)
The tangential Cauchy-Riemann complex on pseudoconvex manifolds (2001) (0)
Solving \overline{∂} with prescribed support on Hartogs triangles in ℂ² and ℂℙ² (2018) (0)

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What Schools Are Affiliated With Mei-Chi Shaw?

Mei-Chi Shaw is affiliated with the following schools: