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Watson, Neil A.

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Author ID: watson.neil-a Recent zbMATH articles by "Watson, Neil A."
Published as: Watson, N. A.; Watson, Neil A.
Homepage: https://www.math.canterbury.ac.nz/~n.watson/
External Links: MGP
Documents Indexed: 71 Publications since 1973, including 3 Books
Reviewing Activity: 142 Reviews

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 195 times in 113 Documents Cited by Year
Green functions, potentials, and the Dirichlet problem for the heat equation. Zbl 0336.35046
Watson, N. A.
31
1976
Thermal capacity. Zbl 0395.35034
Watson, N. A.
24
1978
A theory of subtemperatures in several variables. Zbl 0253.35045
Watson, N. A.
23
1973
A Hausdorff measure classification of polar sets for the heat equation. Zbl 0584.31006
Taylor, S. J.; Watson, N. A.
20
1985
Introduction to heat potential theory. Zbl 1251.31001
Watson, Neil A.
20
2012
Parabolic equations on an infinite strip. Zbl 0675.35001
Watson, N. A.
7
1989
Classes of subtemperatures on infinite strips. Zbl 0268.35047
Watson, N. A.
6
1973
Initial singularities of Gauss-Weierstrass integrals and their relations to Laplace transforms and Hausdorff measures. Zbl 0436.35038
Watson, N. A.
5
1980
Applications of geometric measure theory to the study of Gauss- Weierstrass and Poisson integrals. Zbl 0793.31001
Watson, Neil A.
4
1994
Uniqueness and representation theorems for parabolic equations. Zbl 0285.35034
Watson, N. A.
4
1974
The two versions of the Dirichlet problem for the heat equation. Zbl 1439.35189
Watson, Neil A.
3
2015
A convexity theorem for local mean values of subtemperatures. Zbl 0722.35019
Watson, N. A.
3
1990
Properties of solutions of weakly coupled parabolic systems. Zbl 0479.35049
Chabrowski, Jan; Watson, N. A.
3
1981
Caloric measure for arbitrary open sets. Zbl 1263.35123
Watson, Neil A.
3
2012
Uniqueness and representation theorems for the inhomogeneous heat equation. Zbl 0408.35045
Watson, N. A.
2
1979
Mean values of subtemperatures over level surfaces of Green functions. Zbl 0784.35039
Watson, N. A.
2
1992
Corrigendum to “Green functions, potentials, and the Dirichlet problem for the heat equation”. Zbl 0388.35030
Watson, N. A.
2
1978
Initial and relative limiting behaviour of temperatures on a strip. Zbl 0496.35044
Watson, N. A.
2
1982
Nevanlinna’s first fundamental theorem for supertemperatures. Zbl 0794.31006
Watson, N. A.
2
1993
Regularity of boundary points in the Dirichlet problem for the heat equation. Zbl 1307.35074
Watson, Neil A.
2
2014
Thermic minorants and reductions of supertemperatures. Zbl 1325.35073
Watson, Neil A.
2
2015
On the definition of a subtemperature. Zbl 0271.35033
Watson, N. A.
2
1973
A limit function associated with harmonic majorization on half-spaces. Zbl 0293.31010
Watson, N. A.
2
1974
A generalized Nevanlinna theorem for supertemperatures. Zbl 1035.31006
Watson, Neil A.
2
2003
Mean value densities for temperatures. Zbl 1047.35049
Suzuki, N.; Watson, N. A.
2
2003
Elementary proofs of some basic subtemperature theorems. Zbl 1090.35084
Watson, Neil A.
2
2002
Extensions of Green functions and the representation of greatest thermic minorants. Zbl 1386.35137
Watson, Neil A.
2
2017
Extendable temperatures. Zbl 1422.35100
Watson, Neil A.
1
2019
Mean values and thermic majorization of subtemperatures. Zbl 0784.35038
Watson, N. A.
1
1991
Parabolic limits of solutions of weakly coupled parabolic systems. Zbl 0532.35037
Watson, N. A.
1
1983
Differentiation of measures and initial values of temperatures. Zbl 0371.35022
Watson, N. A.
1
1977
The rate of spatial decay of non-negative solutions of linear parabolic equations. Zbl 0395.35035
Watson, N. A.
1
1978
Thinness and boundary behaviour of potentials for the heat equation. Zbl 0581.31005
Watson, N. A.
1
1985
Solutions of parabolic equations with initial values locally in \(L^ p\). Zbl 0504.35048
Watson, N. A.
1
1982
Mean values of superharmonic functions on half spaces. Zbl 0508.31004
Watson, N. A.
1
1982
Volume mean values of subtemperatures. Zbl 0967.31003
Watson, Neil A.
1
2000
Another way to say subsolution: the maximum principle and sums of Green functions. Zbl 1093.31005
Laugesen, R. S.; Watson, N. A.
1
2005
A characterization of heat balls by a mean value property for temperatures. Zbl 0969.31006
Suzuki, Noriaki; Watson, Neil A.
1
2001
Mean values of positive superharmonic functions on half-spaces. Zbl 0645.31002
Armitage, D. H.; Watson, N. A.
1
1986
Uniqueness of extendable temperatures. Zbl 1461.35081
Watson, Neil A.
1
2021
Uniqueness of extendable temperatures. Zbl 1461.35081
Watson, Neil A.
1
2021
Extendable temperatures. Zbl 1422.35100
Watson, Neil A.
1
2019
Extensions of Green functions and the representation of greatest thermic minorants. Zbl 1386.35137
Watson, Neil A.
2
2017
The two versions of the Dirichlet problem for the heat equation. Zbl 1439.35189
Watson, Neil A.
3
2015
Thermic minorants and reductions of supertemperatures. Zbl 1325.35073
Watson, Neil A.
2
2015
Regularity of boundary points in the Dirichlet problem for the heat equation. Zbl 1307.35074
Watson, Neil A.
2
2014
Introduction to heat potential theory. Zbl 1251.31001
Watson, Neil A.
20
2012
Caloric measure for arbitrary open sets. Zbl 1263.35123
Watson, Neil A.
3
2012
Another way to say subsolution: the maximum principle and sums of Green functions. Zbl 1093.31005
Laugesen, R. S.; Watson, N. A.
1
2005
A generalized Nevanlinna theorem for supertemperatures. Zbl 1035.31006
Watson, Neil A.
2
2003
Mean value densities for temperatures. Zbl 1047.35049
Suzuki, N.; Watson, N. A.
2
2003
Elementary proofs of some basic subtemperature theorems. Zbl 1090.35084
Watson, Neil A.
2
2002
A characterization of heat balls by a mean value property for temperatures. Zbl 0969.31006
Suzuki, Noriaki; Watson, Neil A.
1
2001
Volume mean values of subtemperatures. Zbl 0967.31003
Watson, Neil A.
1
2000
Applications of geometric measure theory to the study of Gauss- Weierstrass and Poisson integrals. Zbl 0793.31001
Watson, Neil A.
4
1994
Nevanlinna’s first fundamental theorem for supertemperatures. Zbl 0794.31006
Watson, N. A.
2
1993
Mean values of subtemperatures over level surfaces of Green functions. Zbl 0784.35039
Watson, N. A.
2
1992
Mean values and thermic majorization of subtemperatures. Zbl 0784.35038
Watson, N. A.
1
1991
A convexity theorem for local mean values of subtemperatures. Zbl 0722.35019
Watson, N. A.
3
1990
Parabolic equations on an infinite strip. Zbl 0675.35001
Watson, N. A.
7
1989
Mean values of positive superharmonic functions on half-spaces. Zbl 0645.31002
Armitage, D. H.; Watson, N. A.
1
1986
A Hausdorff measure classification of polar sets for the heat equation. Zbl 0584.31006
Taylor, S. J.; Watson, N. A.
20
1985
Thinness and boundary behaviour of potentials for the heat equation. Zbl 0581.31005
Watson, N. A.
1
1985
Parabolic limits of solutions of weakly coupled parabolic systems. Zbl 0532.35037
Watson, N. A.
1
1983
Initial and relative limiting behaviour of temperatures on a strip. Zbl 0496.35044
Watson, N. A.
2
1982
Solutions of parabolic equations with initial values locally in \(L^ p\). Zbl 0504.35048
Watson, N. A.
1
1982
Mean values of superharmonic functions on half spaces. Zbl 0508.31004
Watson, N. A.
1
1982
Properties of solutions of weakly coupled parabolic systems. Zbl 0479.35049
Chabrowski, Jan; Watson, N. A.
3
1981
Initial singularities of Gauss-Weierstrass integrals and their relations to Laplace transforms and Hausdorff measures. Zbl 0436.35038
Watson, N. A.
5
1980
Uniqueness and representation theorems for the inhomogeneous heat equation. Zbl 0408.35045
Watson, N. A.
2
1979
Thermal capacity. Zbl 0395.35034
Watson, N. A.
24
1978
Corrigendum to “Green functions, potentials, and the Dirichlet problem for the heat equation”. Zbl 0388.35030
Watson, N. A.
2
1978
The rate of spatial decay of non-negative solutions of linear parabolic equations. Zbl 0395.35035
Watson, N. A.
1
1978
Differentiation of measures and initial values of temperatures. Zbl 0371.35022
Watson, N. A.
1
1977
Green functions, potentials, and the Dirichlet problem for the heat equation. Zbl 0336.35046
Watson, N. A.
31
1976
Uniqueness and representation theorems for parabolic equations. Zbl 0285.35034
Watson, N. A.
4
1974
A limit function associated with harmonic majorization on half-spaces. Zbl 0293.31010
Watson, N. A.
2
1974
A theory of subtemperatures in several variables. Zbl 0253.35045
Watson, N. A.
23
1973
Classes of subtemperatures on infinite strips. Zbl 0268.35047
Watson, N. A.
6
1973
On the definition of a subtemperature. Zbl 0271.35033
Watson, N. A.
2
1973
all top 5

Cited by 111 Authors

21 Watson, Neil A.
6 Kinnunen, Juha
6 Wu, Jang-Mei
4 Lindqvist, Peter
3 Afuni, Ahmad
3 Aimar, Hugo A.
3 Armitage, David H.
3 Brzezina, Miroslav
3 Chen, Zhenlong
3 Gómez, Ivana
3 Hansen, Wolfhard
3 Lanconelli, Ermanno
3 Netuka, Ivan
3 Parviainen, Mikko
3 Xiao, Yimin
3 Zhang, Yiping
2 Avelin, Benny
2 Denisov, Vasiliĭ Nikolaevich
2 Ecker, Klaus
2 Garofalo, Nicola
2 Genschaw, Alyssa
2 Heurteaux, Yanick
2 Hirata, Kentaro
2 Hofmann, Steve
2 Kaufman, Robert P.
2 Kuusi, Tuomo
2 Lair, Alan V.
2 Li, Huiqiong
2 Lipton, Alexander
2 Suzuki, Noriaki
2 Uchiyama, Kôhei
1 Alkhutov, Yuriy Alexandrovich
1 Ancona, Alano
1 Balança, Paul
1 Barlow, Martin T.
1 Bayart, Frédéric
1 Bedini, Matteo Ludovico
1 Beltritti, Gastón
1 Bennouna, Jaouad
1 Björn, Anders
1 Björn, Jana
1 Calsina, Àngel
1 Cao, Li
1 Chabrowski, Jan H.
1 Chevallier, Nicolas
1 Cinti, Chiara
1 Cuadrado, Sílvia
1 De Angelis, Tiziano
1 Dutka, Jacques
1 El Hamdaoui, Bouchra
1 El-Hosseiny, Hany M.
1 Evans, Lawrence Craig
1 Fabes, Eugene B.
1 Flores, Guillermo Javier
1 Gariepy, Ronald F.
1 Garrigós, Gustavo
1 Ghergu, Marius
1 Gianazza, Ugo Pietro
1 Giri, Ratan Kr.
1 Gordeev, A. N.
1 Herbin, Erick
1 Hinz, Michael
1 Hu, Bowen
1 Iaffei, Bibiana
1 Jiang, Renjin
1 Juutinen, Petri
1 Kawohl, Bernd
1 Khoshnevisan, Davar
1 Knopf, Dan
1 Kogoj, Alessia Elisabetta
1 Korte, Riikka
1 Kröger, Pawel
1 Kuznetsov, Nikolai Germanovich
1 Lanza de Cristoforis, Massimo
1 Laugesen, Richard Snyder
1 Liao, Naian
1 Liu, Luqin
1 López de Prado, Marcos
1 Lukkari, Teemu
1 Luzzini, Paolo
1 Ma, Xi-Nan
1 Mhaskar, Hrushikesh N.
1 Moring, Kristian
1 Mourgoglou, Mihalis
1 Moutaouakil, Khadija
1 Ni, Lei
1 Peres, Yuval
1 Peskir, Goran
1 Puliatti, Carmelo
1 Redwane, Hicham
1 Saari, Olli
1 Sheu, Yuan-Chung
1 Souplet, Philippe
1 Sousi, Perla
1 Sowers, Richard B.
1 Su, Xiaofang
1 Taliaferro, Steven D.
1 Taylor, Samuel James
1 Thompson, Harold Bevan
1 Tice, Ian
...and 11 more Authors
all top 5

Cited in 62 Serials

9 Journal of Mathematical Analysis and Applications
9 Potential Analysis
5 Mathematische Annalen
4 Proceedings of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
3 Bulletin of the Australian Mathematical Society
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Transactions of the American Mathematical Society
3 Calculus of Variations and Partial Differential Equations
2 Archive for Rational Mechanics and Analysis
2 Journal d’Analyse Mathématique
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Arkiv för Matematik
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Mathematika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Probability Theory and Related Fields
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Positivity
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 International Journal of Theoretical and Applied Finance
2 Journal of the Australian Mathematical Society
1 Applicable Analysis
1 Archive for History of Exact Sciences
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Metrika
1 Annals of the Institute of Statistical Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Japan Academy. Series A
1 Zeitschrift für Analysis und ihre Anwendungen
1 Statistics & Probability Letters
1 Annals of Global Analysis and Geometry
1 Acta Mathematicae Applicatae Sinica. English Series
1 Science in China. Series A
1 The Annals of Applied Probability
1 The Journal of Geometric Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Aequationes Mathematicae
1 Stochastic Processes and their Applications
1 New Zealand Journal of Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Analysis (München)
1 Interfaces and Free Boundaries
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of Evolution Equations
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Advances in Calculus of Variations
1 Advances in Operator Theory

Citations by Year