## Pang, Michael M. H.

Compute Distance To:
 Author ID: pang.michael-m-h Published as: Pang, Michael M. H.; Pang, M. M. H.; Pang, Michael more...less
 Documents Indexed: 29 Publications since 1987 Co-Authors: 11 Co-Authors with 17 Joint Publications 353 Co-Co-Authors
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### Co-Authors

 12 single-authored 7 Gesztesy, Fritz 5 Bañuelos, Rodrigo 4 Michael, Isaac B. 3 Davies, Edward Brian 3 Littlejohn, Lance L. 1 Chuah, Chian Yeong 1 Lapidus, Michel L. 1 Lindeman, Arthur II 1 Mei, Tao 1 Stanfill, Jonathan 1 Zhao, Zhongxin
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### Serials

 3 Semigroup Forum 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the London Mathematical Society 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Journal of the London Mathematical Society. Second Series 2 Electronic Journal of Differential Equations (EJDE) 1 Communications in Mathematical Physics 1 Studia Mathematica 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Probability Theory and Related Fields 1 Communications in Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Mathematical Inequalities & Applications 1 Cubo 1 Operators and Matrices
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### Fields

 21 Partial differential equations (35-XX) 9 Operator theory (47-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 195 times in 172 Documents Cited by Year
The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026
Davies, E. B.; Pang, M. M. H.
1987
Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004
Davies, E. B.; Pang, M. M. H.
1989
Approximation of ground state eigenvalues and eigenfunctions of Dirichlet Laplacians. Zbl 0969.35102
Pang, M. M. H.
1997
Heat kernels of graphs. Zbl 0799.58085
Pang, M. M. H.
1993
Eigenfunctions of the Koch snowflake domain. Zbl 0857.35093
Lapidus, Michel L.; Pang, Michael M. H.
1995
$$L^ 1$$ properties of two classes of singular second order elliptic operators. Zbl 0675.47054
Pang, M. M. H.
1988
Resolvent estimates for Schrödinger operators in $$L^ p(R^ N)$$ and the theory of exponentially bounded $$C$$-semigroups. Zbl 0739.47017
Pang, M. M. H.
1990
Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010
Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H.
2019
An inequality for potentials and the “hot-spots” conjecture. Zbl 1058.31003
Bañuelos, Rodrigo; Pang, Michael
2004
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. II. Zbl 1167.35027
Pang, Michael
2008
Sharp bounds for ground state eigenfunctions on domains with Horns and cusps. Zbl 0889.35071
Lindeman, A. II; Pang, M. M. H.; Zhao, Z.
1997
Brownian motion with killing and reflection and the “hot-spots” problem. Zbl 1064.60175
Bañuelos, Rodrigo; Pang, Michael; Pascu, Mihai
2004
Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Zbl 0924.35019
Bañuelos, Rodrigo; Pang, Michael M. H.
1999
The heat kernel of the Laplacian defined on a uniform grid. Zbl 1171.35028
Pang, M. M. H.
2009
On (conditional) positive semidefiniteness in a matrix-valued context. Zbl 1387.47010
Gesztesy, Fritz; Pang, Michael
2017
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Zbl 1173.35614
Bañuelos, Rodrigo; Pang, Michael M. H.
2008
Level sets of Neumann eigenfunctions. Zbl 1106.35037
Bañuelos, Rodrigo; Pang, Michael M. H.
2006
The eigenvalue gap for second-order elliptic operators with Dirichlet boundary conditions. Zbl 0716.35057
Davies, E. B.; Pang, M. M. H.
1990
Approximation of ground state eigenfunction on the snowflake region. Zbl 0878.47036
Pang, M. M. H.
1996
$$L^ 1$$ and $$L^ 2$$ properties of a class of singular second order elliptic operators on $$\mathbb{R}^ N$$ with measurable coefficients. Zbl 0860.35097
Pang, M. M. H.
1996
Stability and approximations of eigenvalues and eigenfunctions of the Neumann Laplacian. III. Zbl 1228.35155
Pang, Michael M. H.
2011
On weighted Hardy-type inequalities. Zbl 1444.26017
Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H.
2020
Bessel-type operators and a refinement of Hardy’s inequality. Zbl 07456826
Gesztesy, Fritz; Pang, Michael M. H.; Stanfill, Jonathan
2021
Bessel-type operators and a refinement of Hardy’s inequality. Zbl 07456826
Gesztesy, Fritz; Pang, Michael M. H.; Stanfill, Jonathan
2021
On weighted Hardy-type inequalities. Zbl 1444.26017
Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H.
2020
Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010
Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H.
2019
On (conditional) positive semidefiniteness in a matrix-valued context. Zbl 1387.47010
Gesztesy, Fritz; Pang, Michael
2017
Stability and approximations of eigenvalues and eigenfunctions of the Neumann Laplacian. III. Zbl 1228.35155
Pang, Michael M. H.
2011
The heat kernel of the Laplacian defined on a uniform grid. Zbl 1171.35028
Pang, M. M. H.
2009
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. II. Zbl 1167.35027
Pang, Michael
2008
Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian. I. Zbl 1173.35614
Bañuelos, Rodrigo; Pang, Michael M. H.
2008
Level sets of Neumann eigenfunctions. Zbl 1106.35037
Bañuelos, Rodrigo; Pang, Michael M. H.
2006
An inequality for potentials and the “hot-spots” conjecture. Zbl 1058.31003
Bañuelos, Rodrigo; Pang, Michael
2004
Brownian motion with killing and reflection and the “hot-spots” problem. Zbl 1064.60175
Bañuelos, Rodrigo; Pang, Michael; Pascu, Mihai
2004
Lower bound gradient estimates for solutions of Schrödinger equations and heat kernels. Zbl 0924.35019
Bañuelos, Rodrigo; Pang, Michael M. H.
1999
Approximation of ground state eigenvalues and eigenfunctions of Dirichlet Laplacians. Zbl 0969.35102
Pang, M. M. H.
1997
Sharp bounds for ground state eigenfunctions on domains with Horns and cusps. Zbl 0889.35071
Lindeman, A. II; Pang, M. M. H.; Zhao, Z.
1997
Approximation of ground state eigenfunction on the snowflake region. Zbl 0878.47036
Pang, M. M. H.
1996
$$L^ 1$$ and $$L^ 2$$ properties of a class of singular second order elliptic operators on $$\mathbb{R}^ N$$ with measurable coefficients. Zbl 0860.35097
Pang, M. M. H.
1996
Eigenfunctions of the Koch snowflake domain. Zbl 0857.35093
Lapidus, Michel L.; Pang, Michael M. H.
1995
Heat kernels of graphs. Zbl 0799.58085
Pang, M. M. H.
1993
Resolvent estimates for Schrödinger operators in $$L^ p(R^ N)$$ and the theory of exponentially bounded $$C$$-semigroups. Zbl 0739.47017
Pang, M. M. H.
1990
The eigenvalue gap for second-order elliptic operators with Dirichlet boundary conditions. Zbl 0716.35057
Davies, E. B.; Pang, M. M. H.
1990
Sharp heat kernel bounds for some Laplace operators. Zbl 0701.35004
Davies, E. B.; Pang, M. M. H.
1989
$$L^ 1$$ properties of two classes of singular second order elliptic operators. Zbl 0675.47054
Pang, M. M. H.
1988
The Cauchy problem and a generalization of the Hille-Yosida theorem. Zbl 0651.47026
Davies, E. B.; Pang, M. M. H.
1987
all top 5

all top 5

### Cited in 75 Serials

 14 Semigroup Forum 11 Journal of Functional Analysis 11 Journal of Mathematical Sciences (New York) 9 Proceedings of the American Mathematical Society 7 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Mathematische Zeitschrift 5 Potential Analysis 4 Mathematische Nachrichten 4 Transactions of the American Mathematical Society 4 Communications in Partial Differential Equations 4 Journal of Spectral Theory 3 Journal of Mathematical Physics 3 The Annals of Probability 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the Japan Academy. Series A 3 Integral Transforms and Special Functions 3 Abstract and Applied Analysis 2 Annales de l’Institut Fourier 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Probability Theory and Related Fields 2 The Journal of Geometric Analysis 2 Calculus of Variations and Partial Differential Equations 2 Fractals 2 Acta Mathematica Sinica. English Series 2 Journal of Evolution Equations 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Soviet Mathematics 1 Mathematika 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Journal of Theoretical Probability 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Chinese Science Bulletin 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Opuscula Mathematica 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Journal of Applied Analysis 1 Differential Equations 1 Journal of the Australian Mathematical Society 1 Journal of Statistical Mechanics: Theory and Experiment 1 Cubo 1 Journal of Fixed Point Theory and Applications 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Journal of Fractal Geometry
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### Cited in 32 Fields

 78 Operator theory (47-XX) 77 Partial differential equations (35-XX) 27 Probability theory and stochastic processes (60-XX) 24 Ordinary differential equations (34-XX) 24 Global analysis, analysis on manifolds (58-XX) 12 Functional analysis (46-XX) 10 Potential theory (31-XX) 10 Numerical analysis (65-XX) 8 Combinatorics (05-XX) 7 Real functions (26-XX) 7 Abstract harmonic analysis (43-XX) 7 Differential geometry (53-XX) 6 Measure and integration (28-XX) 5 Topological groups, Lie groups (22-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Convex and discrete geometry (52-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)