Michael Taylor

Applied Mathematics · with Mitrea · 1986–2009

A researcher in the Science corpus: 14 papers; trusts 7 researchers and is trusted by 46 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 15 citations into it; #489 of 7,620 by trust here, #333 by citations
• Computational Theory and Mathematics — 12 citations into it; #1,008 of 12,182 by trust here, #855 by citations
• Mathematical Physics — 10 citations into it; #895 of 8,562 by trust here, #711 by citations
• Numerical Analysis — 8 citations into it

Whom Michael Taylor trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. A. Ionescu
2. Der-Chen Chang
3. M. Mitrea
4. Cora Sadosky
5. S. Hofmann
6. Hans Triebel
7. Carlos E. Kenig

Who trusts Michael Taylor overall

1. M. Mitrea
2. Steve Zelditch
3. Martin Dindos
4. D. Mitrea
5. L. Roland Duduchava
6. Jussi Behrndt
7. A. Mazzucato
8. Michael Ruzhansky
9. Matti Lassas
10. S. Hofmann

Papers from Michael Taylor's perspective

Ordered by how strongly the researchers Michael Taylor trusts endorse each paper. Same corpus, a different order for every researcher.

1. Weakly Differentiable Functions
2. Wavelets
3. Measure theory and integration
4. Principal values for Riesz transforms and rectifiability
5. Poisson kernel characterization of Reifenberg flat chord arc domains
6. Partial Differential Equations
7. Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem
8. Harmonic analysis (2004 IEEE Electro/Information Technology Conference)
9. Perturbation theory for linear operators
10. Inverse Boundary Spectral Problems

Their papers

• The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary (2003) — 185 citations
• Boundary regularity for the Ricci equation, geometric convergence, and Gel’fand’s inverse boundary problem (2002) — 157 citations
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds (2001) — 192 citations
• Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains (2009) — 153 citations
• Tools for Pde: Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials (2000) — 437 citations
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds (2001) — 148 citations
• Hardy Spaces and bmo on Manifolds with Bounded Geometry (2009) — 65 citations
• Vanishing viscosity plane parallel channel flow and related singular perturbation problems (2008) — 76 citations
• Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains (2007) — 104 citations
• Existence and regularity of isometries (2006) — 54 citations
• Potential theory on Lipschitz domains in Riemannian manifolds: L^P Hardy, and Holder space results (2001) — 60 citations
• Extension and Representation of Divergence-free Vector Fields on Bounded Domains (2000) — 64 citations
• Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem (2000) — 150 citations
• Noncommutative Harmonic Analysis (1986)