Edit Profile (opens in new tab) Taylor, Michael Eugene Co-Author Distance 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: 167 Publications since 1968, including 25 Books and 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 48 Co-Authors with 66 Joint Publications 1,809 Co-Co-Authors all top 5 Co-Authors 99 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 Kiss, István Z. 2 Kurylëv, Yaroslav Vadimovich 2 Majda, Andrew J. 2 Marzuola, Jeremy Louis 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 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 Huang, Xiaoqi 1 Kato, Tosio 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 Sogge, Christopher D. 1 Stroock, Daniel W. 1 Taylor, Timothy J. 1 Uhlmann, Gunther Alberto 1 Uribe, Alejandro 1 Vasy, András 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 all top 5 Fields 120 Partial differential equations (35-XX) 50 Global analysis, analysis on manifolds (58-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Operator theory (47-XX) 13 Functional analysis (46-XX) 13 Differential geometry (53-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 Real functions (26-XX) 5 Functions of a complex variable (30-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) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Optics, electromagnetic theory (78-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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. 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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 all top 5 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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