## Taylor, Michael Eugene

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 Author ID: taylor.michael-eugene Published as: Taylor, Michael; Taylor, Michael E.; Taylor, M. E.; Taylor, Michael Eugene; Taylor, M. more...less Homepage: https://mtaylor.web.unc.edu/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 161 Publications since 1968, including 22 Books 1 Contribution as Editor Co-Authors: 45 Co-Authors with 64 Joint Publications 1,665 Co-Co-Authors
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### Co-Authors

 95 single-authored 18 Mitrea, Marius 10 Rauch, Jeffrey B. 4 Hofmann, Steve 3 Cheeger, Jeff 3 Lassas, Matti J. 3 Mazzucato, Anna L. 3 Metcalfe, Jason L. 2 Anderson, Michael T. 2 Hill, C. Denson 2 Katsuda, Atsushi 2 Kurylëv, Yaroslav Vadimovich 2 Majda, Andrew J. 2 Marzuola, Jeremy L. 2 Melrose, Richard Burt 2 Mitrea, Dorina 2 Mitrea, Irina 2 Rosenblatt, Joseph Max 2 Schrader, Robert 2 Simon, Barry 1 Auscher, Pascal 1 Bamberger, Alain 1 Baum, Paul Frank 1 Cahn, Robert S. 1 Capone, Florinda 1 Christiansen, Tanya J. 1 Christianson, Hans 1 Dadok, Jiri 1 Davies, Edward Brian 1 Douglas, Ronald George 1 Ercolani, Nicholas M. 1 Gromov, Mikhael Leonidovich 1 Hawkins, Jane M. 1 Kato, Tosio 1 Kiss, István Z. 1 Lopes Filho, Milton da Costa 1 Marmolejo-Olea, Emilio 1 Mazzeo, Rafe R. 1 Nussenzveig Lopes, Helena Judith 1 Pérez-Esteva, Salvador 1 Pinsky, Mark Allan 1 Ponce, Gustavo 1 Simon, Peter L. 1 Smoller, Joel Alan 1 Stroock, Daniel W. 1 Uhlmann, Gunther Alberto 1 Uribe, Alejandro 1 Vasy, András
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### Serials

 17 Communications in Partial Differential Equations 11 Proceedings of the American Mathematical Society 9 Journal of Functional Analysis 8 Communications on Pure and Applied Mathematics 7 The Journal of Geometric Analysis 6 Applied Mathematical Sciences 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
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### Fields

 116 Partial differential equations (35-XX) 47 Global analysis, analysis on manifolds (58-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Operator theory (47-XX) 13 Differential geometry (53-XX) 12 Functional analysis (46-XX) 11 Potential theory (31-XX) 10 Probability theory and stochastic processes (60-XX) 7 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 6 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

122 Publications have been cited 4,127 times in 3,314 Documents Cited by Year
Pseudodifferential operators. Zbl 0453.47026
Taylor, Michael E.
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
1982
Partial differential equations. Basic theory. pbk-ed. Zbl 0869.35001
Taylor, Michael E.
1996
Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials. Zbl 0963.35211
Taylor, Michael E.
2000
Pseudodifferential operators and nonlinear PDE. Zbl 0746.35062
Taylor, Michael Eugene
1991
Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002
Taylor, Michael E.
2011
Partial differential equations. III: Nonlinear equations. 2nd ed. Zbl 1206.35004
Taylor, Michael E.
2011
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
1992
Potential and scattering theory on wildly perturbed domains. Zbl 0293.35056
Rauch, Jeffrey; Taylor, Michael
1975
Exponential decay of solutions to hyperbolic equations in bounded domains. Zbl 0281.35012
Rauch, Jeffrey; Taylor, Michael
1974
Noncommutative harmonic analysis. Zbl 0604.43001
Taylor, Michael E.
1986
Partial differential equations. II: Qualitative studies of linear equations. 2nd ed. Zbl 1206.35003
Taylor, Michael E.
2011
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. Zbl 1003.35001
Mitrea, Dorina; Mitrea, Marius; Taylor, Michael
2001
Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034
Melrose, Richard B.; Taylor, Michael E.
1985
Navier-Stokes equations on Lipschitz domains in Riemannian manifolds. Zbl 1039.35079
Mitrea, Marius; Taylor, Michael
2001
$$L^ p$$-estimates on functions of the Laplace operator. Zbl 0691.58043
Taylor, Michael E.
1989
Partial differential equations. 2: Qualitative studies of linear equations. Zbl 0869.35003
Taylor, Michael E.
1996
Boundary layer methods for Lipschitz domains in Riemannian manifolds. Zbl 0930.58014
Mitrea, Marius; Taylor, Michael
1999
Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. Zbl 0968.58023
Mitrea, Marius; Taylor, Michael
2000
Reflection of singularities of solutions to systems of differential equations. Zbl 0332.35058
Taylor, Michael E.
1975
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
1982
Commutator estimates. Zbl 1022.35096
Taylor, Michael
2003
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
2004
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012
Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
2003
Grazing rays and reflection of singularities of solutions to wave equations. Zbl 0318.35009
Taylor, Michael E.
1976
Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro. Zbl 1221.31010
Hofmann, Steve; Mitrea, Marius; Taylor, Michael
2010
Decay of solutions tonondissipative hyperbolic systems on compact manifolds. Zbl 0295.35048
Rauch, J.; Taylor, Michael
1975
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
1982
Noncommutative microlocal analysis. I. Zbl 0554.35025
Taylor, Michael E.
1984
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
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
2007
Pseudo differential operators. Zbl 0289.35001
Taylor, Michael
1974
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
2008
Gelfand theory of pseudo differential operators and hypoelliptic operators. Zbl 0207.45402
Taylor, M. E.
1971
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
1985
Pointwise Fourier inversion: A wave equation approach. Zbl 0901.42008
Pinsky, Mark A.; Taylor, Michael E.
1997
Exact epidemic models on graphs using graph-automorphism driven lumping. Zbl 1232.92068
Simon, Péter L.; Taylor, Michael; Kiss, Istvan Z.
2011
Partial differential equations. 3: Nonlinear equations. Zbl 0869.35004
Taylor, Michael E.
1996
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
1989
Hardy spaces and bmo on manifolds with bounded geometry. Zbl 1189.46030
Taylor, Michael
2009
Potential theory on Lipschitz domains in Riemannian manifolds: $$L^p$$ Hardy, and Hölder space results. Zbl 0994.31001
Mitrea, Marius; Taylor, Michael
2001
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
2000
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
1988
Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems. Zbl 0373.35055
Majda, Andrew; Taylor, Michael
1977
Penetrations into shadow regions and unique continuation properties in hyperbolic mixed problems. Zbl 0227.35064
Rauch, Jeffrey; Taylor, Michael
1972
Semiclassical asymptotics, gauge fields, and quantum chaos. Zbl 0679.58046
1989
Vanishing viscosity limits for a class of circular pipe flows. Zbl 1220.35121
Mazzucato, Anna; Taylor, Michael
2011
Measure theory and integration. Zbl 1139.28001
Taylor, Michael E.
2006
Potential theory on Lipschitz domains in Riemannian manifolds: Hölder continuous tensors. Zbl 1157.35345
Mitrea, Marius; Taylor, Michael
2000
Functions of several self-adjoint operators. Zbl 0164.16604
Taylor, M. E.
1968
Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials. Zbl 0534.58028
1984
Existence and regularity of isometries. Zbl 1156.53310
Taylor, Michael
2006
Propagation, reflection, and diffraction of singularities of solutions to wave equations. Zbl 0385.35036
Taylor, Michael E.
1978
Pointwise Fourier inversion on tori and other compact manifolds. Zbl 0938.42007
Taylor, Michael
1999
Paradifferential operators and commutator estimates. Zbl 0844.35149
Auscher, Pascal; Taylor, Michael E.
1995
Curvature and uniformization. Zbl 1003.30031
Mazzeo, Rafe; Taylor, Michael
2002
Incompressible fluid flows on rough domains. Zbl 0965.35120
Taylor, Michael E.
2000
The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056
Melrose, Richard B.; Taylor, Michael E.
1986
Scattering length and perturbations of $$-\Delta$$ by positive potentials. Zbl 0336.31005
Taylor, Michael E.
1976
Eigenfunction expansions and the Pinsky phenomenon on compact manifolds. Zbl 1065.58023
Taylor, Michael
2001
Partial differential equations. 1: Basic theory. Zbl 0869.35002
Taylor, Michael E.
1996
The asymptotic behavior of the diffraction peak in classical scattering. Zbl 0357.35007
Majda, Andrew; Taylor, Michael E.
1977
Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors. Zbl 1017.31004
Mitrea, Marius; Taylor, Michael
2003
Integrability of rough almost complex structures. Zbl 1038.32021
Hill, C. Denson; Taylor, Michael
2003
Grazing rays and reflection of singularities of solutions to wave equations. II: (Systems). Zbl 0335.35059
Taylor, Michael E.
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
2009
Nonlinear waves on 3D hyperbolic space. Zbl 1223.35005
Metcalfe, Jason; Taylor, Michael
2011
The Hodge-Laplacian. Boundary value problems on Riemannian manifolds. Zbl 1357.58001
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Taylor, Michael
2016
Nonlinear bound states on weakly homogeneous spaces. Zbl 1290.58012
Christianson, Hans; Marzuola, Jeremy; Metcalfe, Jason; Taylor, Michael
2014
A model for harmonics on stringed instruments. Zbl 0534.47027
Bamberger, A.; Rauch, J.; Taylor, M.
1982
The Gibbs phenomenon, the Pinsky phenomenon, and variants for eigenfunction expansions. Zbl 1090.58019
Taylor, Michael E.
2002
Estimate on the fundamental frequency of a drum. Zbl 0418.35068
Taylor, Michael E.
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
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
2005
The Schrödinger equation on spheres. Zbl 1052.58024
Taylor, Michael
2003
Fourier series on compact Lie groups. Zbl 0179.18504
Taylor, M. E.
1968
Rayleigh waves in linear elasticity as a propagation of singularities phenomenon. Zbl 0432.73021
Taylor, Michael E.
1979
Lipschitz domains, domains with corners, and the Hodge Laplacian. Zbl 1082.31007
Taylor, Michael; Mitrea, Marius; Vasy, András
2005
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.
2015
Beals-Cordes-type characterizations of pseudodifferential operators. Zbl 0868.35149
Taylor, Michael E.
1997
Microlocal analysis on Morrey spaces. Zbl 0904.58012
Taylor, Michael E.
1997
Commutator estimates for Hölder continuous and bmo-Sobolev multipliers. Zbl 1334.42034
Taylor, Michael E.
2015
Dispersive wave estimates on 3D hyperbolic space. Zbl 1275.35147
Metcalfe, Jason; Taylor, Michael
2012
Euler equation on a rotating surface. Zbl 1346.35155
Taylor, Michael
2016
Functions of the Laplace operator on manifolds with lower Ricci and injectivity bounds. Zbl 1179.35081
Taylor, Michael
2009
Semiclassical spectra of gauge fields. Zbl 0772.58066
Taylor, Michael E.; Uribe, Alejandro
1992
Introduction to differential equations. Zbl 1236.34001
Taylor, Michael E.
2011
The Poisson problem in weighted Sobolev spaces on Lipschitz domains. Zbl 1387.35166
Mitrea, Marius; Taylor, Michael
2006
Variations on quantum ergodic theorems. Zbl 1432.58029
Taylor, Michael
2015
Cosmic branes and asymptotic structure. Zbl 1427.83057
Capone, F.; Taylor, M.
2019
The Dirichlet-Jordan test and multidimensional extensions. Zbl 0969.42006
Taylor, Michael
2001
Asymptotic behavior of multiplicities of representations of compact groups. Zbl 0428.22009
Cahn, Robert S.; Taylor, Michael E.
1979
Wave front sets and the viscosity method. Zbl 0256.35010
Smoller, Joel A.; Taylor, Michael E.
1973
Airy operator calculus. Zbl 0552.35082
Taylor, Michael E.
1984
The complex Frobenius theorem for rough involutive structures. Zbl 1110.35050
Hill, C. Denson; Taylor, Michael
2007
Weak stability of the map x/$$| x|$$ for liquid crystal functionals. Zbl 0716.49001
Cohen, Robert; Taylor, Michael
1990
Cauchy integrals, Calderón projectors, and Toeplitz operators on uniformly rectifiable domains. Zbl 1305.31003
Mitrea, Irina; Mitrea, Marius; Taylor, Michael
2015
Diffraction effects in the scattering of waves. Zbl 0482.35070
Taylor, Michael E.
1981
Short time behavior of solutions to nonlinear Schrödinger equations in one and two space dimensions. Zbl 1106.35104
Taylor, Michael
2006
Pointwise Fourier inversion – an addendum. Zbl 0967.42006
Taylor, Michael E.
2001
Microlocal Weyl formula on contact manifolds. Zbl 1439.35357
Taylor, Michael
2020
Introduction to analysis in several variables. Advanced calculus. Zbl 07269794
Taylor, Michael E.
2020
Cosmic branes and asymptotic structure. Zbl 1427.83057
Capone, F.; Taylor, M.
2019
Introduction to complex analysis. Zbl 1442.30001
Taylor, Michael E.
2019
The Hodge-Laplacian. Boundary value problems on Riemannian manifolds. Zbl 1357.58001
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Taylor, Michael
2016
Euler equation on a rotating surface. Zbl 1346.35155
Taylor, Michael
2016
Higher dimensional vortex standing waves for nonlinear Schrödinger equations. Zbl 1362.35288
Marzuola, Jeremy L.; Taylor, Michael E.
2016
Traveling wave solutions to NLS and NLKG equations in non-Euclidean settings. Zbl 1352.35167
Taylor, Michael
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.
2015
Commutator estimates for Hölder continuous and bmo-Sobolev multipliers. Zbl 1334.42034
Taylor, Michael E.
2015
Variations on quantum ergodic theorems. Zbl 1432.58029
Taylor, Michael
2015
Cauchy integrals, Calderón projectors, and Toeplitz operators on uniformly rectifiable domains. Zbl 1305.31003
Mitrea, Irina; Mitrea, Marius; Taylor, Michael
2015
Nonlinear bound states on weakly homogeneous spaces. Zbl 1290.58012
Christianson, Hans; Marzuola, Jeremy; Metcalfe, Jason; Taylor, Michael
2014
Regularity of standing waves on Lipschitz domains. Zbl 1273.35113
Taylor, Michael
2013
Dispersive wave estimates on 3D hyperbolic space. Zbl 1275.35147
Metcalfe, Jason; Taylor, Michael
2012
Random walks, random flows, and enhanced diffusivity in advection-diffusion equations. Zbl 1298.35102
Taylor, Michael
2012
Partial differential equations. I: Basic theory. 2nd ed. Zbl 1206.35002
Taylor, Michael E.
2011
Partial differential equations. III: Nonlinear equations. 2nd ed. Zbl 1206.35004
Taylor, Michael E.
2011
Partial differential equations. II: Qualitative studies of linear equations. 2nd ed. Zbl 1206.35003
Taylor, Michael E.
2011
Exact epidemic models on graphs using graph-automorphism driven lumping. Zbl 1232.92068
Simon, Péter L.; Taylor, Michael; Kiss, Istvan Z.
2011
Vanishing viscosity limits for a class of circular pipe flows. Zbl 1220.35121
Mazzucato, Anna; Taylor, Michael
2011
Nonlinear waves on 3D hyperbolic space. Zbl 1223.35005
Metcalfe, Jason; Taylor, Michael
2011
Introduction to differential equations. Zbl 1236.34001
Taylor, Michael E.
2011
Regularity for a class of elliptic operators with Dini continuous coefficients. Zbl 1210.35074
Taylor, Michael
2011
Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro. Zbl 1221.31010
Hofmann, Steve; Mitrea, Marius; Taylor, Michael
2010
Variants of Arnold’s stability results for 2D Euler equations. Zbl 1186.35150
Taylor, Michael
2010
Hardy spaces and bmo on manifolds with bounded geometry. Zbl 1189.46030
Taylor, Michael
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
2009
Functions of the Laplace operator on manifolds with lower Ricci and injectivity bounds. Zbl 1179.35081
Taylor, Michael
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
2008
Vanishing viscosity plane parallel channel flow and related singular perturbation problems. Zbl 1160.35329
Mazzucato, Anna; Taylor, Michael
2008
Short time behavior of solutions to linear and nonlinear Schrödinger equations. Zbl 1151.35091
Taylor, Michael
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
2007
The complex Frobenius theorem for rough involutive structures. Zbl 1110.35050
Hill, C. Denson; Taylor, Michael
2007
Anderson-Cheeger limits of smooth Riemannian manifolds, and other Gromov-Hausdorff limits. Zbl 1124.53016
Taylor, Michael
2007
Measure theory and integration. Zbl 1139.28001
Taylor, Michael E.
2006
Existence and regularity of isometries. Zbl 1156.53310
Taylor, Michael
2006
The Poisson problem in weighted Sobolev spaces on Lipschitz domains. Zbl 1387.35166
Mitrea, Marius; Taylor, Michael
2006
Short time behavior of solutions to nonlinear Schrödinger equations in one and two space dimensions. Zbl 1106.35104
Taylor, Michael
2006
Scattering length and the spectrum of $$-\Delta+V$$. Zbl 1281.35060
Taylor, Michael E.
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
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
2005
Lipschitz domains, domains with corners, and the Hodge Laplacian. Zbl 1082.31007
Taylor, Michael; Mitrea, Marius; Vasy, András
2005
Regularity of loop group factorization. Zbl 1052.22016
Taylor, Michael
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
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
2004
Commutator estimates. Zbl 1022.35096
Taylor, Michael
2003
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012
Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
2003
Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors. Zbl 1017.31004
Mitrea, Marius; Taylor, Michael
2003
Integrability of rough almost complex structures. Zbl 1038.32021
Hill, C. Denson; Taylor, Michael
2003
The Schrödinger equation on spheres. Zbl 1052.58024
Taylor, Michael
2003
Metric tensor estimates, geometric convergence, and inverse boundary problems. Zbl 1071.53525
Anderson, Michael; Katsuda, Atsushi; Kurylev, Yaroslav; Lassas, Matti; Taylor, Michael
2003
Curvature and uniformization. Zbl 1003.30031
Mazzeo, Rafe; Taylor, Michael
2002
The Gibbs phenomenon, the Pinsky phenomenon, and variants for eigenfunction expansions. Zbl 1090.58019
Taylor, Michael E.
2002
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. Zbl 1003.35001
Mitrea, Dorina; Mitrea, Marius; Taylor, Michael
2001
Navier-Stokes equations on Lipschitz domains in Riemannian manifolds. Zbl 1039.35079
Mitrea, Marius; Taylor, Michael
2001
Potential theory on Lipschitz domains in Riemannian manifolds: $$L^p$$ Hardy, and Hölder space results. Zbl 0994.31001
Mitrea, Marius; Taylor, Michael
2001
Eigenfunction expansions and the Pinsky phenomenon on compact manifolds. Zbl 1065.58023
Taylor, Michael
2001
The Dirichlet-Jordan test and multidimensional extensions. Zbl 0969.42006
Taylor, Michael
2001
Pointwise Fourier inversion – an addendum. Zbl 0967.42006
Taylor, Michael E.
2001
Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials. Zbl 0963.35211
Taylor, Michael E.
2000
Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem. Zbl 0968.58023
Mitrea, Marius; Taylor, Michael
2000
Extension and representation of divergence-free vector fields on bounded domains. Zbl 0980.53022
Kato, Tosio; Mitrea, Marius; Ponce, Gustavo; Taylor, Michael
2000
Potential theory on Lipschitz domains in Riemannian manifolds: Hölder continuous tensors. Zbl 1157.35345
Mitrea, Marius; Taylor, Michael
2000
Incompressible fluid flows on rough domains. Zbl 0965.35120
Taylor, Michael E.
2000
Boundary layer methods for Lipschitz domains in Riemannian manifolds. Zbl 0930.58014
Mitrea, Marius; Taylor, Michael
1999
Pointwise Fourier inversion on tori and other compact manifolds. Zbl 0938.42007
Taylor, Michael
1999
Estimates on scattered waves. Zbl 0906.35020
Taylor, Michael E.
1998
Pointwise Fourier inversion: A wave equation approach. Zbl 0901.42008
Pinsky, Mark A.; Taylor, Michael E.
1997
Beals-Cordes-type characterizations of pseudodifferential operators. Zbl 0868.35149
Taylor, Michael E.
1997
Microlocal analysis on Morrey spaces. Zbl 0904.58012
Taylor, Michael E.
1997
Partial differential equations. Basic theory. pbk-ed. Zbl 0869.35001
Taylor, Michael E.
1996
Partial differential equations. 2: Qualitative studies of linear equations. Zbl 0869.35003
Taylor, Michael E.
1996
Partial differential equations. 3: Nonlinear equations. Zbl 0869.35004
Taylor, Michael E.
1996
Partial differential equations. 1: Basic theory. Zbl 0869.35002
Taylor, Michael E.
1996
Paradifferential operators and commutator estimates. Zbl 0844.35149
Auscher, Pascal; Taylor, Michael E.
1995
Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations. Zbl 0771.35047
Taylor, Michael E.
1992
Semiclassical spectra of gauge fields. Zbl 0772.58066
Taylor, Michael E.; Uribe, Alejandro
1992
Pseudodifferential operators and nonlinear PDE. Zbl 0746.35062
Taylor, Michael Eugene
1991
Weak stability of the map x/$$| x|$$ for liquid crystal functionals. Zbl 0716.49001
Cohen, Robert; Taylor, Michael
1990
Pseudodifferential operators and K-homology. II. Zbl 0733.47044
Taylor, Michael E.
1990
$$L^ p$$-estimates on functions of the Laplace operator. Zbl 0691.58043
Taylor, Michael E.
1989
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
1989
Semiclassical asymptotics, gauge fields, and quantum chaos. Zbl 0679.58046
1989
L p spectral theory of Kleinian groups. Zbl 0644.58022
Davies, E. B.; Simon, Barry; Taylor, Michael
1988
Noncommutative harmonic analysis. Zbl 0604.43001
Taylor, Michael E.
1986
The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056
Melrose, Richard B.; Taylor, Michael E.
1986
Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034
Melrose, Richard B.; Taylor, Michael E.
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
1985
Noncommutative microlocal analysis. I. Zbl 0554.35025
Taylor, Michael E.
1984
Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials. Zbl 0534.58028
1984
Airy operator calculus. Zbl 0552.35082
Taylor, Michael E.
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
1982
On the diffraction of waves by conical singularities. I. Zbl 0526.58049
Cheeger, Jeff; Taylor, Michael
1982
On the diffraction of waves by conical singularities. II. Zbl 0536.58032
Cheeger, Jeff; Taylor, Michael
1982
A model for harmonics on stringed instruments. Zbl 0534.47027
Bamberger, A.; Rauch, J.; Taylor, M.
1982
Pseudodifferential operators. Zbl 0453.47026
Taylor, Michael E.
1981
Diffraction effects in the scattering of waves. Zbl 0482.35070
Taylor, Michael E.
1981
Local solvability of constant coefficient partial differential equations as a small divisor problem. Zbl 0475.35002
1981
Estimate on the fundamental frequency of a drum. Zbl 0418.35068
Taylor, Michael E.
1979
...and 22 more Documents
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### Cited by 3,503 Authors

 60 Taylor, Michael Eugene 56 Mitrea, Marius 42 Lassas, Matti J. 42 Uhlmann, Gunther Alberto 29 Wendland, Wolfgang L. 23 Kohr, Mirela 22 Mitrea, Dorina 21 Ruzhansky, Michael V. 19 Kurylëv, Yaroslav Vadimovich 19 Mitrea, Irina 19 Rauch, Jeffrey B. 18 Cavalcanti, Marcelo Moreira 17 Sogge, Christopher D. 15 de Hoop, Maarten V. 15 Oksanen, Lauri 15 Ozawa, Shin 14 Domingos Cavalcanti, Valéria Neves 14 Mazzucato, Anna L. 14 Vallarino, Maria 14 Yan, Lixin 13 Marzuola, Jeremy L. 13 Meda, Stefano 12 Hassell, Andrew 12 Léautaud, Matthieu 12 Nistor, Victor 12 Salo, Mikko 12 Tataru, Daniel 12 Zelditch, Steve 11 Antoine, Xavier 11 Hofmann, Steve 11 Simon, Peter L. 11 Smith, Hart F. 11 Vasy, András 10 Greenleaf, Allan 10 Guillarmou, Colin 10 Kiss, István Z. 10 Spence, Euan A. 10 Strohmaier, Alexander 10 Zhang, Junyong 9 Anderson, Michael T. 9 Ferreira, Lucas Catão de Freitas 9 Hillairet, Luc 9 Kamran, Niky 9 Lasiecka, Irena 9 Li, Hongquan 9 Lorin, Emmanuel 9 Lott, John 9 Metcalfe, Jason L. 9 Rabinovich, Vladimir Samuilovich 9 Sikora, Adam S. 9 Strichartz, Robert S. 9 Vicol, Vlad C. 9 Wunsch, Jared 8 Agranovich, Mikhail Semënovich 8 Aloui, Lassaad 8 Colzani, Leonardo 8 Galkowski, Jeffrey 8 Kenig, Carlos Eduardo 8 Melrose, Richard Burt 8 Petkov, Vesselin M. 8 Samko, Natasha 8 Song, Liang 8 Zhou, Shouming 7 Ammann, Bernd Eberhard 7 Ashurov, Ravshan Rajabovich 7 Biler, Piotr 7 Burq, Nicolas 7 Christianson, Hans 7 Daudé, Thierry 7 Delgado, Julio 7 Donnelly, Harold 7 Duong, Xuan Thinh 7 Gesztesy, Fritz 7 Gonzalez Martinez, Victor Hugo 7 Himonas, A. Alexandrou 7 Jefferies, Brian R. F. 7 Laurent, Camille 7 Le Rousseau, Jérôme H. 7 Lopes Filho, Milton da Costa 7 Lyalinov, Mikhail Anatolievich 7 Monniaux, Sylvie 7 Mu, Chunlai 7 Nicoleau, François 7 Nussenzveig Lopes, Helena Judith 7 Pesenson, Isaac Zalmanovich 7 Reusken, Arnold 7 Royer, Julien 7 Saloff-Coste, Laurent 7 Stefanov, Plamen D. 7 Tian, Gang 7 Tzou, Leo 7 Wang, Ya-Guang 7 Weber, Andreas 7 Williams, Mark 7 Zheng, Jiqiang 6 Ammari, Habib M. 6 Brzeźniak, Zdzisław 6 Chen, Peng 6 Chen, Yanping 6 Cordes, Heinz Otto ...and 3,403 more Authors
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### Cited in 419 Serials

 171 Journal of Functional Analysis 132 Journal of Differential Equations 132 Communications in Partial Differential Equations 129 Communications in Mathematical Physics 103 Journal of Mathematical Analysis and Applications 100 Transactions of the American Mathematical Society 78 The Journal of Geometric Analysis 67 Advances in Mathematics 65 Archive for Rational Mechanics and Analysis 58 Duke Mathematical Journal 56 Mathematische Annalen 54 Proceedings of the American Mathematical Society 41 The Journal of Fourier Analysis and Applications 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 Annales de l’Institut Fourier 37 Calculus of Variations and Partial Differential Equations 35 Mathematische Zeitschrift 32 SIAM Journal on Mathematical Analysis 30 Annales Henri Poincaré 28 Journal of Mathematical Physics 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Potential Analysis 26 Integral Equations and Operator Theory 26 Journal of Pseudo-Differential Operators and Applications 25 Discrete and Continuous Dynamical Systems 24 Inventiones Mathematicae 24 Numerische Mathematik 24 Annals of Global Analysis and Geometry 23 Journal of Geometry and Physics 23 Mathematische Nachrichten 23 Journal of Mathematical Fluid Mechanics 22 Journal of the American Mathematical Society 22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 20 Journal d’Analyse Mathématique 20 Mathematical Methods in the Applied Sciences 20 Proceedings of the Japan Academy. Series A 19 Journal of Evolution Equations 18 Applicable Analysis 18 Journal of Computational Physics 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Memoirs of the American Mathematical Society 17 Communications on Pure and Applied Mathematics 17 Wave Motion 17 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Quarterly of Applied Mathematics 17 Journal of Mathematical Sciences (New York) 16 Revista Matemática Iberoamericana 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Applied Mathematics and Optimization 15 Differential Geometry and its Applications 14 Mathematics of Computation 14 Monatshefte für Mathematik 14 Journal of Spectral Theory 13 Bulletin of the American Mathematical Society. New Series 13 Communications in Contemporary Mathematics 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Manuscripta Mathematica 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Communications on Pure and Applied Analysis 12 Science China. Mathematics 11 Journal of Statistical Physics 11 Zeitschrift für Analysis und ihre Anwendungen 11 Acta Applicandae Mathematicae 11 NoDEA. Nonlinear Differential Equations and Applications 11 Bulletin des Sciences Mathématiques 11 Annals of Mathematics. Second Series 11 Journal of the European Mathematical Society (JEMS) 11 Complex Variables and Elliptic Equations 10 Computers & Mathematics with Applications 10 Journal of Computational and Applied Mathematics 10 SIAM Journal on Applied Mathematics 10 Journal of Dynamics and Differential Equations 10 Nonlinear Analysis. Real World Applications 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Inverse Problems 9 Letters in Mathematical Physics 9 Functional Analysis and its Applications 9 Geometry & Topology 9 Inverse Problems and Imaging 9 Annals of PDE 8 Israel Journal of Mathematics 8 Archiv der Mathematik 8 Journal für die Reine und Angewandte Mathematik 8 SIAM Journal on Control and Optimization 8 Physica D 8 Geometric and Functional Analysis. GAFA 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Acta Mathematica Sinica. English Series 8 Journal of Hyperbolic Differential Equations 8 Mathematical Control and Related Fields 8 Nonlinear Analysis. Theory, Methods & Applications 7 Applied Mathematics and Computation 7 Siberian Mathematical Journal 7 Applied Mathematics Letters 7 Journal of Integral Equations and Applications 7 The Annals of Applied Probability 7 Annales de l’Institut Henri Poincaré. Physique Théorique 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Mathematical Physics, Analysis and Geometry ...and 319 more Serials
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### Cited in 57 Fields

 2,081 Partial differential equations (35-XX) 676 Global analysis, analysis on manifolds (58-XX) 429 Operator theory (47-XX) 428 Differential geometry (53-XX) 395 Fluid mechanics (76-XX) 307 Harmonic analysis on Euclidean spaces (42-XX) 242 Functional analysis (46-XX) 203 Numerical analysis (65-XX) 184 Quantum theory (81-XX) 173 Probability theory and stochastic processes (60-XX) 127 Abstract harmonic analysis (43-XX) 123 Dynamical systems and ergodic theory (37-XX) 122 Topological groups, Lie groups (22-XX) 119 Systems theory; control (93-XX) 117 Mechanics of deformable solids (74-XX) 102 Optics, electromagnetic theory (78-XX) 92 Potential theory (31-XX) 76 Relativity and gravitational theory (83-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 73 Several complex variables and analytic spaces (32-XX) 68 Statistical mechanics, structure of matter (82-XX) 64 Biology and other natural sciences (92-XX) 53 Ordinary differential equations (34-XX) 52 Functions of a complex variable (30-XX) 48 Integral equations (45-XX) 43 Manifolds and cell complexes (57-XX) 42 Real functions (26-XX) 36 Integral transforms, operational calculus (44-XX) 34 Measure and integration (28-XX) 29 Geophysics (86-XX) 26 Number theory (11-XX) 25 $$K$$-theory (19-XX) 23 Approximations and expansions (41-XX) 22 Special functions (33-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Algebraic geometry (14-XX) 17 Information and communication theory, circuits (94-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Combinatorics (05-XX) 13 Statistics (62-XX) 13 Mechanics of particles and systems (70-XX) 8 General topology (54-XX) 8 Computer science (68-XX) 7 Convex and discrete geometry (52-XX) 7 Algebraic topology (55-XX) 7 Operations research, mathematical programming (90-XX) 6 Nonassociative rings and algebras (17-XX) 5 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 4 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 3 Astronomy and astrophysics (85-XX) 1 Associative rings and algebras (16-XX) 1 Mathematics education (97-XX)

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