He solved a boundary behavior problem of complex analysis in several variables, on which his teacher Kohn worked in detail and which was originally formulated by Donald Spencer, a particular case of the Neumann problem for , a non-elliptic boundary value problem.[3][4]
Catlin was an Invited Speaker with talk Regularity of solutions of the -Neumann problem at the ICM in 1986 in Berkeley. In 1989 he received the inaugural Stefan Bergman Prize.
Necessary conditions for subellipticity of the -Neumann problem, Annals of Mathematics, 117, 1983, 147–171 doi:10.2307/2006974
Boundary invariants of pseudoconvex domains, Annals of Mathematics 120, 1984, 529–586 doi:10.2307/1971087
Subelliptic estimates for the -Neumann problem on pseudoconvex domains, Annals of Mathematics, 126, 1987, 131–191 doi:10.2307/1971347
Estimates of invariant metrics on pseudoconvex domains of dimension two, Mathematische Zeitschrift 200, 1989, 429–466 doi:10.1007/BF01215657
as editor with Thomas Bloom, John P. D'Angelo, Yum-Tong Siu: Modern methods in complex analysis, Annals of Mathematics Studies 137, Princeton University Press 1995 (dedicated to Robert Gunning and Joseph Kohn)
with J. P. D'Angelo: A stabilization theorem for Hermitian forms and applications to holomorphic mappings, arXiv preprint math/9511201, 1995
Global regularity of the -Neumann problem, in: Complex analysis of several variables, Proc. Symp. Pure Math. Vol. 41, AMS, 1984, 39–49
Necessary conditions for subellipticity and hypoellipticity for the -Neumann problem on pseudoconvex domains, in: Recent Developments in Several Complex Variables (John E. Fornæss, ed.), Annals of Mathematics Studies Vol. 100, 2016, 93–100.
^"Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains". J. Differential Geom. 15: 605–625. 1981.
^Makhlouf Derridj, La sous-ellipticité pour le problème -Neumann dans un domaine pseudoconvexe de , d'après D. Catlin, Séminaire Bourbaki 790, 1994/95,
^Tran Vu Khan, University of Padua Seminar 2009/10
External linksedit
David W. Catlin, Mathematics Departrment, Purdue University
January 01, 1970
david, catlin, david, william, catlin, born, 1952, rochester, pennsylvania, american, mathematician, works, theory, several, complex, variables, oberwolfach, 2004, catlin, received, 1978, from, princeton, university, under, joseph, kohn, with, thesis, boundary. David William Catlin born 12 May 1952 Rochester Pennsylvania is an American mathematician who works on the theory of several complex variables David Catlin Oberwolfach 2004 Catlin received in 1978 his Ph D from Princeton University under Joseph Kohn with thesis Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains 1 2 He is a professor at Purdue University He solved a boundary behavior problem of complex analysis in several variables on which his teacher Kohn worked in detail and which was originally formulated by Donald Spencer a particular case of the Neumann problem for displaystyle overline partial a non elliptic boundary value problem 3 4 Catlin was an Invited Speaker with talk Regularity of solutions of the displaystyle overline partial Neumann problem at the ICM in 1986 in Berkeley In 1989 he received the inaugural Stefan Bergman Prize His brother Paul Allen Catlin 1948 1995 also achieved fame as a mathematician doing research on graph theory Selected publications editNecessary conditions for subellipticity of the displaystyle overline partial nbsp Neumann problem Annals of Mathematics 117 1983 147 171 doi 10 2307 2006974 Boundary invariants of pseudoconvex domains Annals of Mathematics 120 1984 529 586 doi 10 2307 1971087 Subelliptic estimates for the displaystyle overline partial nbsp Neumann problem on pseudoconvex domains Annals of Mathematics 126 1987 131 191 doi 10 2307 1971347 Estimates of invariant metrics on pseudoconvex domains of dimension two Mathematische Zeitschrift 200 1989 429 466 doi 10 1007 BF01215657 as editor with Thomas Bloom John P D Angelo Yum Tong Siu Modern methods in complex analysis Annals of Mathematics Studies 137 Princeton University Press 1995 dedicated to Robert Gunning and Joseph Kohn with J P D Angelo A stabilization theorem for Hermitian forms and applications to holomorphic mappings arXiv preprint math 9511201 1995 Global regularity of the displaystyle overline partial nbsp Neumann problem in Complex analysis of several variables Proc Symp Pure Math Vol 41 AMS 1984 39 49 Necessary conditions for subellipticity and hypoellipticity for the displaystyle overline partial nbsp Neumann problem on pseudoconvex domains in Recent Developments in Several Complex Variables John E Fornaess ed Annals of Mathematics Studies Vol 100 2016 93 100 References edit David Catlin at the Mathematics Genealogy Project Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains J Differential Geom 15 605 625 1981 Makhlouf Derridj La sous ellipticite pour le probleme displaystyle overline partial nbsp Neumann dans un domaine pseudoconvexe de C n displaystyle mathrm mathbf C n nbsp d apres D Catlin Seminaire Bourbaki 790 1994 95 Tran Vu Khan University of Padua Seminar 2009 10External links editDavid W Catlin Mathematics Departrment Purdue University Retrieved from https en wikipedia org w index php title David Catlin amp oldid 1170337606, wikipedia, wiki, book, books, library,
