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Taylor, Michael Eugene

Author ID: taylor.michael-eugene Recent zbMATH articles by "Taylor, Michael Eugene"
Published as: Taylor, Michael; Taylor, Michael E.; Taylor, M. E.; Taylor, Michael Eugene; Taylor, M.
Homepage: https://mtaylor.web.unc.edu/
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
all top 5

Serials

17 Communications in Partial Differential Equations
11 Proceedings of the American Mathematical Society
9 Journal of Functional Analysis
9 Applied Mathematical Sciences
8 Communications on Pure and Applied Mathematics
7 The Journal of Geometric Analysis
5 Houston Journal of Mathematics
5 Transactions of the American Mathematical Society
5 Pure and Applied Undergraduate Texts
4 The Journal of Fourier Analysis and Applications
3 Canadian Journal of Mathematics
3 Indiana University Mathematics Journal
3 Pacific Journal of Mathematics
3 Potential Analysis
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Advances in Mathematics
2 Canadian Mathematical Bulletin
2 Duke Mathematical Journal
2 Journal of Differential Geometry
2 Memoirs of the American Mathematical Society
2 Communications in Analysis and Geometry
2 Communications in Mathematical Sciences
2 Bulletin of the American Mathematical Society
2 Graduate Studies in Mathematics
2 Mathematical Surveys and Monographs
2 Analysis & PDE
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Ergodic Theory and Dynamical Systems
1 Annals of Global Analysis and Geometry
1 Physica D
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Mathematical Research Letters
1 Electronic Research Announcements of the American Mathematical Society
1 Discrete and Continuous Dynamical Systems
1 Journal of High Energy Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the Brazilian Mathematical Society. New Series
1 De Gruyter Studies in Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Lecture Notes in Mathematics
1 Princeton Mathematical Series
1 Progress in Mathematics
1 Texts in Applied Mathematics
1 Pure and Applied Functional Analysis

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 5,277 times in 4,226 Documents Cited by Year
Pseudodifferential operators. Zbl 0453.47026
Taylor, Michael E.
533
1981
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035
Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael
343
1982
Partial differential equations. Basic theory. pbk-ed. Zbl 0869.35001
Taylor, Michael E.
327
1996
Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002
Taylor, Michael E.
239
2011
Partial differential equations. III: Nonlinear equations. 2nd ed. Zbl 1206.35004
Taylor, Michael E.
238
2011
Pseudodifferential operators and nonlinear PDE. Zbl 0746.35062
Taylor, Michael Eugene
222
1991
Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials. Zbl 0963.35211
Taylor, Michael E.
221
2000
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
169
1992
Potential and scattering theory on wildly perturbed domains. Zbl 0293.35056
Rauch, Jeffrey; Taylor, Michael
154
1975
Partial differential equations. 2: Qualitative studies of linear equations. Zbl 0869.35003
Taylor, Michael E.
151
1996
Exponential decay of solutions to hyperbolic equations in bounded domains. Zbl 0281.35012
Rauch, Jeffrey; Taylor, Michael
138
1974
Noncommutative harmonic analysis. Zbl 0604.43001
Taylor, Michael E.
136
1986
Partial differential equations. II: Qualitative studies of linear equations. 2nd ed. Zbl 1206.35003
Taylor, Michael E.
109
2011
Partial differential equations. 3: Nonlinear equations. Zbl 0869.35004
Taylor, Michael E.
106
1996
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. Zbl 1003.35001
Mitrea, Dorina; Mitrea, Marius; Taylor, Michael
80
2001
Navier-Stokes equations on Lipschitz domains in Riemannian manifolds. Zbl 1039.35079
Mitrea, Marius; Taylor, Michael
75
2001
Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034
Melrose, Richard B.; Taylor, Michael E.
75
1985
Boundary layer methods for Lipschitz domains in Riemannian manifolds. Zbl 0930.58014
Mitrea, Marius; Taylor, Michael
73
1999
\(L^ p\)-estimates on functions of the Laplace operator. Zbl 0691.58043
Taylor, Michael E.
73
1989
Commutator estimates. Zbl 1022.35096
Taylor, Michael
71
2003
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
68
1982
Reflection of singularities of solutions to systems of differential equations. Zbl 0332.35058
Taylor, Michael E.
67
1975
Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. Zbl 0968.58023
Mitrea, Marius; Taylor, Michael
66
2000
Decay of solutions tonondissipative hyperbolic systems on compact manifolds. Zbl 0295.35048
Rauch, J.; Taylor, Michael
62
1975
Boundary regularity for the Ricci equation, geometric convergence, and Gel’fand’s inverse boundary problem. Zbl 1177.35245
Anderson, Michael; Katsuda, Atsushi; Kurylev, Yaroslav; Lassas, Matti; Taylor, Michael
62
2004
Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro. Zbl 1221.31010
Hofmann, Steve; Mitrea, Marius; Taylor, Michael
57
2010
Grazing rays and reflection of singularities of solutions to wave equations. Zbl 0318.35009
Taylor, Michael E.
56
1976
Noncommutative microlocal analysis. I. Zbl 0554.35025
Taylor, Michael E.
54
1984
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012
Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
53
2003
Partial differential equations. 1: Basic theory. Zbl 0869.35002
Taylor, Michael E.
50
1996
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
50
1982
Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains. Zbl 1142.49021
Hofmann, Steve; Mitrea, Marius; Taylor, Michael
47
2007
Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows. Zbl 1178.35288
Filho, M. C. Lopes; Mazzucato, A. L.; Lopes, H. J. Nussenzveig; Taylor, Michael
46
2008
Pseudo differential operators. Zbl 0289.35001
Taylor, Michael
42
1974
Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model. Zbl 0577.60067
Simon, Barry; Taylor, Michael
40
1985
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
38
2008
Gelfand theory of pseudo differential operators and hypoelliptic operators. Zbl 0207.45402
Taylor, M. E.
32
1971
Exact epidemic models on graphs using graph-automorphism driven lumping. Zbl 1232.92068
Simon, Péter L.; Taylor, Michael; Kiss, Istvan Z.
31
2011
Pointwise Fourier inversion: A wave equation approach. Zbl 0901.42008
Pinsky, Mark A.; Taylor, Michael E.
30
1997
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
30
2000
Measure theory and integration. Zbl 1139.28001
Taylor, Michael E.
29
2006
Hardy spaces and bmo on manifolds with bounded geometry. Zbl 1189.46030
Taylor, Michael
29
2009
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
28
1989
Potential theory on Lipschitz domains in Riemannian manifolds: \(L^p\) Hardy, and Hölder space results. Zbl 0994.31001
Mitrea, Marius; Taylor, Michael
26
2001
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
23
1988
Incompressible fluid flows on rough domains. Zbl 0965.35120
Taylor, Michael E.
21
2000
Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems. Zbl 0373.35055
Majda, Andrew; Taylor, Michael
21
1977
Vanishing viscosity limits for a class of circular pipe flows. Zbl 1220.35121
Mazzucato, Anna; Taylor, Michael
20
2011
Existence and regularity of isometries. Zbl 1156.53310
Taylor, Michael
20
2006
Semiclassical asymptotics, gauge fields, and quantum chaos. Zbl 0679.58046
Schrader, Robert; Taylor, Michael E.
19
1989
Penetrations into shadow regions and unique continuation properties in hyperbolic mixed problems. Zbl 0227.35064
Rauch, Jeffrey; Taylor, Michael
19
1972
Potential theory on Lipschitz domains in Riemannian manifolds: Hölder continuous tensors. Zbl 1157.35345
Mitrea, Marius; Taylor, Michael
18
2000
Functions of several self-adjoint operators. Zbl 0164.16604
Taylor, M. E.
18
1968
Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials. Zbl 0534.58028
Schrader, Robert; Taylor, Michael E.
18
1984
Propagation, reflection, and diffraction of singularities of solutions to wave equations. Zbl 0385.35036
Taylor, Michael E.
17
1978
Paradifferential operators and commutator estimates. Zbl 0844.35149
Auscher, Pascal; Taylor, Michael E.
16
1995
The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056
Melrose, Richard B.; Taylor, Michael E.
16
1986
Curvature and uniformization. Zbl 1003.30031
Mazzeo, Rafe; Taylor, Michael
15
2002
Pointwise Fourier inversion on tori and other compact manifolds. Zbl 0938.42007
Taylor, Michael
15
1999
Eigenfunction expansions and the Pinsky phenomenon on compact manifolds. Zbl 1065.58023
Taylor, Michael
15
2001
Scattering length and perturbations of \(-\Delta\) by positive potentials. Zbl 0336.31005
Taylor, Michael E.
15
1976
Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter. Zbl 1333.42020
Hofmann, Steve; Marmolejo-Olea, Emilio; Mitrea, Marius; Pérez-Esteva, Salvador; Taylor, Michael
15
2009
The asymptotic behavior of the diffraction peak in classical scattering. Zbl 0357.35007
Majda, Andrew; Taylor, Michael E.
13
1977
Grazing rays and reflection of singularities of solutions to wave equations. II: (Systems). Zbl 0335.35059
Taylor, Michael E.
13
1976
Integrability of rough almost complex structures. Zbl 1038.32021
Hill, C. Denson; Taylor, Michael
13
2003
The Schrödinger equation on spheres. Zbl 1052.58024
Taylor, Michael
13
2003
Nonlinear waves on 3D hyperbolic space. Zbl 1223.35005
Metcalfe, Jason; Taylor, Michael
13
2011
Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors. Zbl 1017.31004
Mitrea, Marius; Taylor, Michael
12
2003
The Hodge-Laplacian. Boundary value problems on Riemannian manifolds. Zbl 1357.58001
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Taylor, Michael
12
2016
The Gibbs phenomenon, the Pinsky phenomenon, and variants for eigenfunction expansions. Zbl 1090.58019
Taylor, Michael E.
11
2002
Fourier series on compact Lie groups. Zbl 0179.18504
Taylor, M. E.
11
1968
Nonlinear bound states on weakly homogeneous spaces. Zbl 1290.58012
Christianson, Hans; Marzuola, Jeremy; Metcalfe, Jason; Taylor, Michael
11
2014
A model for harmonics on stringed instruments. Zbl 0534.47027
Bamberger, A.; Rauch, J.; Taylor, M.
11
1982
Estimate on the fundamental frequency of a drum. Zbl 0418.35068
Taylor, Michael E.
10
1979
Rayleigh waves in linear elasticity as a propagation of singularities phenomenon. Zbl 0432.73021
Taylor, Michael E.
10
1979
Sobolev and Besov space estimates for solutions to second order PDE on Lipschitz domains in manifolds with Dini or Hölder continuous metric tensors. Zbl 1068.58013
Mitrea, Marius; Taylor, Michael
9
2005
Commutator estimates for Hölder continuous and bmo-Sobolev multipliers. Zbl 1334.42034
Taylor, Michael E.
9
2015
Lipschitz domains, domains with corners, and the Hodge Laplacian. Zbl 1082.31007
Taylor, Michael; Mitrea, Marius; Vasy, András
9
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
8
2005
Euler equation on a rotating surface. Zbl 1346.35155
Taylor, Michael
8
2016
Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus. Zbl 1317.31012
Hofmann, Steve; Mitrea, Marius; Taylor, Michael E.
8
2015
Dispersive wave estimates on 3D hyperbolic space. Zbl 1275.35147
Metcalfe, Jason; Taylor, Michael
8
2012
Semiclassical spectra of gauge fields. Zbl 0772.58066
Taylor, Michael E.; Uribe, Alejandro
7
1992
The Poisson problem in weighted Sobolev spaces on Lipschitz domains. Zbl 1387.35166
Mitrea, Marius; Taylor, Michael
7
2006
Beals-Cordes-type characterizations of pseudodifferential operators. Zbl 0868.35149
Taylor, Michael E.
7
1997
Microlocal analysis on Morrey spaces. Zbl 0904.58012
Taylor, Michael E.
7
1997
Introduction to differential equations. Zbl 1236.34001
Taylor, Michael E.
7
2011
Cosmic branes and asymptotic structure. Zbl 1427.83057
Capone, F.; Taylor, M.
5
2019
Cauchy integrals, Calderón projectors, and Toeplitz operators on uniformly rectifiable domains. Zbl 1305.31003
Mitrea, Irina; Mitrea, Marius; Taylor, Michael
5
2015
Functions of the Laplace operator on manifolds with lower Ricci and injectivity bounds. Zbl 1179.35081
Taylor, Michael
5
2009
The complex Frobenius theorem for rough involutive structures. Zbl 1110.35050
Hill, C. Denson; Taylor, Michael
4
2007
The Dirichlet-Jordan test and multidimensional extensions. Zbl 0969.42006
Taylor, Michael
4
2001
Variations on quantum ergodic theorems. Zbl 1432.58029
Taylor, Michael
4
2015
Weak stability of the map x/\(| x|\) for liquid crystal functionals. Zbl 0716.49001
Cohen, Robert; Taylor, Michael
4
1990
Diffraction effects in the scattering of waves. Zbl 0482.35070
Taylor, Michael E.
4
1981
Random walks, random flows, and enhanced diffusivity in advection-diffusion equations. Zbl 1298.35102
Taylor, Michael
3
2012
Short time behavior of solutions to nonlinear Schrödinger equations in one and two space dimensions. Zbl 1106.35104
Taylor, Michael
3
2006
Asymptotic behavior of multiplicities of representations of compact groups. Zbl 0428.22009
Cahn, Robert S.; Taylor, Michael E.
3
1979
Wave front sets and the viscosity method. Zbl 0256.35010
Smoller, Joel A.; Taylor, Michael E.
3
1973
Higher dimensional vortex standing waves for nonlinear Schrödinger equations. Zbl 1362.35288
Marzuola, Jeremy L.; Taylor, Michael E.
3
2016
Introduction to differential equations. 2nd edition. Zbl 1514.34002
Taylor, Michael E.
1
2022
Introduction to analysis in several variables. Advanced calculus. Zbl 1509.26002
Taylor, Michael E.
1
2020
Microlocal Weyl formula on contact manifolds. Zbl 1439.35357
Taylor, Michael
1
2020
Cosmic branes and asymptotic structure. Zbl 1427.83057
Capone, F.; Taylor, M.
5
2019
Introduction to complex analysis. Zbl 1442.30001
Taylor, Michael E.
2
2019
The Weierstrass \(\wp\)-function as a distribution on a complex torus, and its Fourier series. Zbl 1430.42009
Taylor, Michael
1
2019
The Hodge-Laplacian. Boundary value problems on Riemannian manifolds. Zbl 1357.58001
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Taylor, Michael
12
2016
Euler equation on a rotating surface. Zbl 1346.35155
Taylor, Michael
8
2016
Higher dimensional vortex standing waves for nonlinear Schrödinger equations. Zbl 1362.35288
Marzuola, Jeremy L.; Taylor, Michael E.
3
2016
Traveling wave solutions to NLS and NLKG equations in non-Euclidean settings. Zbl 1352.35167
Taylor, Michael
2
2016
Commutator estimates for Hölder continuous and bmo-Sobolev multipliers. Zbl 1334.42034
Taylor, Michael E.
9
2015
Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus. Zbl 1317.31012
Hofmann, Steve; Mitrea, Marius; Taylor, Michael E.
8
2015
Cauchy integrals, Calderón projectors, and Toeplitz operators on uniformly rectifiable domains. Zbl 1305.31003
Mitrea, Irina; Mitrea, Marius; Taylor, Michael
5
2015
Variations on quantum ergodic theorems. Zbl 1432.58029
Taylor, Michael
4
2015
Nonlinear bound states on weakly homogeneous spaces. Zbl 1290.58012
Christianson, Hans; Marzuola, Jeremy; Metcalfe, Jason; Taylor, Michael
11
2014
Regularity of standing waves on Lipschitz domains. Zbl 1273.35113
Taylor, Michael
1
2013
Dispersive wave estimates on 3D hyperbolic space. Zbl 1275.35147
Metcalfe, Jason; Taylor, Michael
8
2012
Random walks, random flows, and enhanced diffusivity in advection-diffusion equations. Zbl 1298.35102
Taylor, Michael
3
2012
Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002
Taylor, Michael E.
239
2011
Partial differential equations. III: Nonlinear equations. 2nd ed. Zbl 1206.35004
Taylor, Michael E.
238
2011
Partial differential equations. II: Qualitative studies of linear equations. 2nd ed. Zbl 1206.35003
Taylor, Michael E.
109
2011
Exact epidemic models on graphs using graph-automorphism driven lumping. Zbl 1232.92068
Simon, Péter L.; Taylor, Michael; Kiss, Istvan Z.
31
2011
Vanishing viscosity limits for a class of circular pipe flows. Zbl 1220.35121
Mazzucato, Anna; Taylor, Michael
20
2011
Nonlinear waves on 3D hyperbolic space. Zbl 1223.35005
Metcalfe, Jason; Taylor, Michael
13
2011
Introduction to differential equations. Zbl 1236.34001
Taylor, Michael E.
7
2011
Regularity for a class of elliptic operators with Dini continuous coefficients. Zbl 1210.35074
Taylor, Michael
1
2011
Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro. Zbl 1221.31010
Hofmann, Steve; Mitrea, Marius; Taylor, Michael
57
2010
Quadrature estimates for multidimensional integrals. Zbl 1213.65048
Rauch, Jeffrey; Taylor, Michael
1
2010
Variants of Arnold’s stability results for 2D Euler equations. Zbl 1186.35150
Taylor, Michael
1
2010
Hardy spaces and bmo on manifolds with bounded geometry. Zbl 1189.46030
Taylor, Michael
29
2009
Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter. Zbl 1333.42020
Hofmann, Steve; Marmolejo-Olea, Emilio; Mitrea, Marius; Pérez-Esteva, Salvador; Taylor, Michael
15
2009
Functions of the Laplace operator on manifolds with lower Ricci and injectivity bounds. Zbl 1179.35081
Taylor, Michael
5
2009
Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows. Zbl 1178.35288
Filho, M. C. Lopes; Mazzucato, A. L.; Lopes, H. J. Nussenzveig; Taylor, Michael
46
2008
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
38
2008
Short time behavior of solutions to linear and nonlinear Schrödinger equations. Zbl 1151.35091
Taylor, Michael
1
2008
Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains. Zbl 1142.49021
Hofmann, Steve; Mitrea, Marius; Taylor, Michael
47
2007
The complex Frobenius theorem for rough involutive structures. Zbl 1110.35050
Hill, C. Denson; Taylor, Michael
4
2007
Anderson-Cheeger limits of smooth Riemannian manifolds, and other Gromov-Hausdorff limits. Zbl 1124.53016
Taylor, Michael
2
2007
Scattering length of positive potentials. Zbl 1135.35057
Taylor, Michael E.
1
2007
Measure theory and integration. Zbl 1139.28001
Taylor, Michael E.
29
2006
Existence and regularity of isometries. Zbl 1156.53310
Taylor, Michael
20
2006
The Poisson problem in weighted Sobolev spaces on Lipschitz domains. Zbl 1387.35166
Mitrea, Marius; Taylor, Michael
7
2006
Short time behavior of solutions to nonlinear Schrödinger equations in one and two space dimensions. Zbl 1106.35104
Taylor, Michael
3
2006
Scattering length and the spectrum of \(-\Delta+V\). Zbl 1281.35060
Taylor, Michael E.
2
2006
Sobolev and Besov space estimates for solutions to second order PDE on Lipschitz domains in manifolds with Dini or Hölder continuous metric tensors. Zbl 1068.58013
Mitrea, Marius; Taylor, Michael
9
2005
Lipschitz domains, domains with corners, and the Hodge Laplacian. Zbl 1082.31007
Taylor, Michael; Mitrea, Marius; Vasy, András
9
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
8
2005
Regularity of loop group factorization. Zbl 1052.22016
Taylor, Michael
2
2005
Boundary regularity for the Ricci equation, geometric convergence, and Gel’fand’s inverse boundary problem. Zbl 1177.35245
Anderson, Michael; Katsuda, Atsushi; Kurylev, Yaroslav; Lassas, Matti; Taylor, Michael
62
2004
The Dirichlet-to-Neumann map, viscosity solutions to eikonal equations, and the self-dual equations of pattern formation. Zbl 1058.35018
Ercolani, Nick; Taylor, Michael
2
2004
Commutator estimates. Zbl 1022.35096
Taylor, Michael
71
2003
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012
Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
53
2003
Integrability of rough almost complex structures. Zbl 1038.32021
Hill, C. Denson; Taylor, Michael
13
2003
The Schrödinger equation on spheres. Zbl 1052.58024
Taylor, Michael
13
2003
Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors. Zbl 1017.31004
Mitrea, Marius; Taylor, Michael
12
2003
Metric tensor estimates, geometric convergence, and inverse boundary problems. Zbl 1071.53525
Anderson, Michael; Katsuda, Atsushi; Kurylev, Yaroslav; Lassas, Matti; Taylor, Michael
1
2003
Curvature and uniformization. Zbl 1003.30031
Mazzeo, Rafe; Taylor, Michael
15
2002
The Gibbs phenomenon, the Pinsky phenomenon, and variants for eigenfunction expansions. Zbl 1090.58019
Taylor, Michael E.
11
2002
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. Zbl 1003.35001
Mitrea, Dorina; Mitrea, Marius; Taylor, Michael
80
2001
Navier-Stokes equations on Lipschitz domains in Riemannian manifolds. Zbl 1039.35079
Mitrea, Marius; Taylor, Michael
75
2001
Potential theory on Lipschitz domains in Riemannian manifolds: \(L^p\) Hardy, and Hölder space results. Zbl 0994.31001
Mitrea, Marius; Taylor, Michael
26
2001
Eigenfunction expansions and the Pinsky phenomenon on compact manifolds. Zbl 1065.58023
Taylor, Michael
15
2001
The Dirichlet-Jordan test and multidimensional extensions. Zbl 0969.42006
Taylor, Michael
4
2001
Pointwise Fourier inversion – an addendum. Zbl 0967.42006
Taylor, Michael E.
2
2001
Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials. Zbl 0963.35211
Taylor, Michael E.
221
2000
Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. Zbl 0968.58023
Mitrea, Marius; Taylor, Michael
66
2000
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
30
2000
Incompressible fluid flows on rough domains. Zbl 0965.35120
Taylor, Michael E.
21
2000
Potential theory on Lipschitz domains in Riemannian manifolds: Hölder continuous tensors. Zbl 1157.35345
Mitrea, Marius; Taylor, Michael
18
2000
Boundary layer methods for Lipschitz domains in Riemannian manifolds. Zbl 0930.58014
Mitrea, Marius; Taylor, Michael
73
1999
Pointwise Fourier inversion on tori and other compact manifolds. Zbl 0938.42007
Taylor, Michael
15
1999
Estimates on scattered waves. Zbl 0906.35020
Taylor, Michael E.
1
1998
Pointwise Fourier inversion: A wave equation approach. Zbl 0901.42008
Pinsky, Mark A.; Taylor, Michael E.
30
1997
Beals-Cordes-type characterizations of pseudodifferential operators. Zbl 0868.35149
Taylor, Michael E.
7
1997
Microlocal analysis on Morrey spaces. Zbl 0904.58012
Taylor, Michael E.
7
1997
Partial differential equations. Basic theory. pbk-ed. Zbl 0869.35001
Taylor, Michael E.
327
1996
Partial differential equations. 2: Qualitative studies of linear equations. Zbl 0869.35003
Taylor, Michael E.
151
1996
Partial differential equations. 3: Nonlinear equations. Zbl 0869.35004
Taylor, Michael E.
106
1996
Partial differential equations. 1: Basic theory. Zbl 0869.35002
Taylor, Michael E.
50
1996
Paradifferential operators and commutator estimates. Zbl 0844.35149
Auscher, Pascal; Taylor, Michael E.
16
1995
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
169
1992
Semiclassical spectra of gauge fields. Zbl 0772.58066
Taylor, Michael E.; Uribe, Alejandro
7
1992
Pseudodifferential operators and nonlinear PDE. Zbl 0746.35062
Taylor, Michael Eugene
222
1991
Weak stability of the map x/\(| x|\) for liquid crystal functionals. Zbl 0716.49001
Cohen, Robert; Taylor, Michael
4
1990
Pseudodifferential operators and K-homology. II. Zbl 0733.47044
Taylor, Michael E.
1
1990
\(L^ p\)-estimates on functions of the Laplace operator. Zbl 0691.58043
Taylor, Michael E.
73
1989
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
28
1989
Semiclassical asymptotics, gauge fields, and quantum chaos. Zbl 0679.58046
Schrader, Robert; Taylor, Michael E.
19
1989
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
23
1988
Noncommutative harmonic analysis. Zbl 0604.43001
Taylor, Michael E.
136
1986
The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056
Melrose, Richard B.; Taylor, Michael E.
16
1986
Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034
Melrose, Richard B.; Taylor, Michael E.
75
1985
Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model. Zbl 0577.60067
Simon, Barry; Taylor, Michael
40
1985
Noncommutative microlocal analysis. I. Zbl 0554.35025
Taylor, Michael E.
54
1984
Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials. Zbl 0534.58028
Schrader, Robert; Taylor, Michael E.
18
1984
Airy operator calculus. Zbl 0552.35082
Taylor, Michael E.
3
1984
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035
Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael
343
1982
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
68
1982
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
50
1982
A model for harmonics on stringed instruments. Zbl 0534.47027
Bamberger, A.; Rauch, J.; Taylor, M.
11
1982
...and 26 more Documents
all top 5

Cited by 4,413 Authors

61 Mitrea, Marius
60 Taylor, Michael Eugene
47 Lassas, Matti J.
47 Uhlmann, Gunther Alberto
30 Ruzhansky, Michael V.
29 Wendland, Wolfgang L.
25 Mitrea, Dorina
23 Kohr, Mirela
21 Cavalcanti, Marcelo Moreira
20 Kurylëv, Yaroslav Vadimovich
20 Mitrea, Irina
20 Oksanen, Lauri
19 Rauch, Jeffrey B.
19 Sogge, Christopher D.
18 de Hoop, Maarten V.
17 Domingos Cavalcanti, Valéria Neves
17 Vallarino, Maria
16 Mazzucato, Anna L.
16 Salo, Mikko
16 Spence, Euan A.
16 Yan, Lixin
15 Ozawa, Shin
15 Vasy, András
15 Zelditch, Steve
14 Freire, Igor Leite
14 Meda, Stefano
14 Nistor, Victor
13 Hassell, Andrew
13 Léautaud, Matthieu
13 Marzuola, Jeremy Louis
13 Smith, Hart F.
13 Tataru, Daniel
13 Wunsch, Jared
12 Antoine, Xavier
12 Galkowski, Jeffrey
12 Guillarmou, Colin
12 Hofmann, Steve
12 Oliynyk, Todd Andrew
12 Stefanov, Plamen D.
12 Strohmaier, Alexander
12 Vicol, Vlad C.
12 Zhang, Junyong
11 Greenleaf, Allan
11 Lasiecka, Irena
11 Rabinovich, Vladimir Samuilovich
11 Simon, Peter L.
10 Ammari, Habib
10 Fischer, Véronique
10 Himonas, A. Alexandrou
10 Sikora, Adam
9 Anderson, Michael T.
9 Burq, Nicolas
9 Coclite, Giuseppe Maria
9 Delgado, Julio
9 Ferreira, Lucas Catão de Freitas
9 Gonzalez Martinez, Victor Hugo
9 Hillairet, Luc
9 Hintz, Peter
9 Kamran, Niky
9 Kiss, István Z.
9 Li, Hongquan
9 Lorin, Emmanuel
9 Lott, John
9 Maniar, Lahcen
9 Metcalfe, Jason L.
9 Petkov, Vesselin M.
9 Reusken, Arnold
9 Royer, Julien
9 Saloff-Coste, Laurent
9 Song, Liang
9 Strichartz, Robert S.
9 Vasilyev, Vladimir Borisovich
8 Agranovich, Mikhail Semënovich
8 Aloui, Lassaad
8 Bahouri, Hajer
8 Biler, Piotr
8 Colzani, Leonardo
8 Dai, Xianzhe
8 Dindoš, Martin
8 Gesztesy, Fritz
8 Girouard, Alexandre
8 Guliyev, Vagif Sabir
8 Kenig, Carlos Eduardo
8 Khrabustovskyi, Andrii
8 Lopes Filho, Milton da Costa
8 Melrose, Richard Burt
8 Monniaux, Sylvie
8 Mu, Chunlai
8 Nussenzveig Lopes, Helena Judith
8 Pan, Xingbin
8 Paternain, Gabriel Pedro
8 Post, Olaf
8 Samko, Natasha
8 Samko, Stefan Grigor’evich
8 Tang, Hao
8 Tiğlay, Feride
8 Zheng, Jiqiang
8 Zhou, Shouming
7 Abels, Helmut
7 Ammann, Bernd Eberhard
...and 4,313 more Authors
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Cited in 486 Serials

192 Journal of Functional Analysis
161 Journal of Differential Equations
151 Communications in Mathematical Physics
137 Communications in Partial Differential Equations
118 Journal of Mathematical Analysis and Applications
105 Transactions of the American Mathematical Society
93 The Journal of Geometric Analysis
76 Archive for Rational Mechanics and Analysis
71 Advances in Mathematics
70 Mathematische Annalen
60 Duke Mathematical Journal
58 Proceedings of the American Mathematical Society
49 Journal of Mathematical Physics
48 The Journal of Fourier Analysis and Applications
46 Journal de Mathématiques Pures et Appliquées. Neuvième Série
46 SIAM Journal on Mathematical Analysis
45 Mathematische Zeitschrift
44 Calculus of Variations and Partial Differential Equations
41 Annales de l’Institut Fourier
41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Annales Henri Poincaré
34 Journal d’Analyse Mathématique
34 Mathematische Nachrichten
33 Journal of Pseudo-Differential Operators and Applications
32 Potential Analysis
31 Journal of Geometry and Physics
29 Discrete and Continuous Dynamical Systems
29 Journal of Spectral Theory
28 Integral Equations and Operator Theory
28 Annals of Global Analysis and Geometry
27 Journal of Mathematical Fluid Mechanics
26 Applicable Analysis
26 Mathematical Methods in the Applied Sciences
26 Inventiones Mathematicae
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Numerische Mathematik
23 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 Journal of the American Mathematical Society
23 Journal of Evolution Equations
22 Monatshefte für Mathematik
22 Journal of Mathematical Sciences (New York)
22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Inverse Problems
21 Journal of Computational Physics
21 Revista Matemática Iberoamericana
20 Communications on Pure and Applied Mathematics
20 Wave Motion
20 Proceedings of the Japan Academy. Series A
20 Quarterly of Applied Mathematics
19 Memoirs of the American Mathematical Society
18 Communications in Contemporary Mathematics
17 Computers & Mathematics with Applications
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Inverse Problems and Imaging
17 Annals of PDE
16 Mathematics of Computation
16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
16 Applied Mathematics and Optimization
16 Differential Geometry and its Applications
16 Acta Mathematica Sinica. English Series
15 Nonlinearity
15 Journal of Dynamics and Differential Equations
15 Nonlinear Analysis. Real World Applications
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Communications on Pure and Applied Analysis
14 Letters in Mathematical Physics
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Physica D
14 Bulletin of the American Mathematical Society. New Series
14 Science China. Mathematics
14 Pure and Applied Analysis
13 Journal of Statistical Physics
13 Archiv der Mathematik
13 Manuscripta Mathematica
13 Zeitschrift für Analysis und ihre Anwendungen
13 NoDEA. Nonlinear Differential Equations and Applications
13 Geometry & Topology
13 Journal of the European Mathematical Society (JEMS)
13 Evolution Equations and Control Theory
12 Journal of Computational and Applied Mathematics
12 Bulletin des Sciences Mathématiques
12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
12 Annals of Mathematics. Second Series
12 Discrete and Continuous Dynamical Systems. Series B
12 Complex Variables and Elliptic Equations
11 SIAM Journal on Control and Optimization
11 Acta Applicandae Mathematicae
11 SIAM Journal on Applied Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Discrete and Continuous Dynamical Systems. Series S
11 Analysis & PDE
10 Bulletin de la Société Mathématique de France
10 Functional Analysis and its Applications
10 Journal für die Reine und Angewandte Mathematik
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Israel Journal of Mathematics
9 Applied Mathematics Letters
9 The Annals of Applied Probability
9 Electronic Journal of Differential Equations (EJDE)
9 Analysis and Mathematical Physics
...and 386 more Serials
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Cited in 58 Fields

2,720 Partial differential equations (35-XX)
827 Global analysis, analysis on manifolds (58-XX)
544 Operator theory (47-XX)
539 Fluid mechanics (76-XX)
518 Differential geometry (53-XX)
370 Harmonic analysis on Euclidean spaces (42-XX)
304 Functional analysis (46-XX)
272 Numerical analysis (65-XX)
238 Quantum theory (81-XX)
218 Probability theory and stochastic processes (60-XX)
175 Dynamical systems and ergodic theory (37-XX)
154 Abstract harmonic analysis (43-XX)
153 Mechanics of deformable solids (74-XX)
148 Systems theory; control (93-XX)
147 Topological groups, Lie groups (22-XX)
141 Optics, electromagnetic theory (78-XX)
113 Relativity and gravitational theory (83-XX)
109 Potential theory (31-XX)
98 Several complex variables and analytic spaces (32-XX)
93 Biology and other natural sciences (92-XX)
90 Calculus of variations and optimal control; optimization (49-XX)
88 Statistical mechanics, structure of matter (82-XX)
75 Functions of a complex variable (30-XX)
72 Ordinary differential equations (34-XX)
64 Real functions (26-XX)
61 Integral equations (45-XX)
51 Manifolds and cell complexes (57-XX)
46 Integral transforms, operational calculus (44-XX)
46 Geophysics (86-XX)
45 Measure and integration (28-XX)
36 Approximations and expansions (41-XX)
35 Special functions (33-XX)
33 Number theory (11-XX)
31 \(K\)-theory (19-XX)
26 Classical thermodynamics, heat transfer (80-XX)
22 Statistics (62-XX)
21 Combinatorics (05-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Information and communication theory, circuits (94-XX)
20 Algebraic geometry (14-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
17 Mechanics of particles and systems (70-XX)
14 Computer science (68-XX)
11 Algebraic topology (55-XX)
11 Operations research, mathematical programming (90-XX)
10 General topology (54-XX)
10 Astronomy and astrophysics (85-XX)
9 Nonassociative rings and algebras (17-XX)
9 Convex and discrete geometry (52-XX)
8 General and overarching topics; collections (00-XX)
8 Difference and functional equations (39-XX)
7 Group theory and generalizations (20-XX)
6 Geometry (51-XX)
5 History and biography (01-XX)
3 Category theory; homological algebra (18-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Mathematics education (97-XX)

Citations by Year

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