Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
Autor: | Andrea Bonfiglioli, Ermanno Lanconelli, Francesco Uguzzoni |
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EAN: | 9783540718970 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 24.08.2007 |
Kategorie: | |
Schlagworte: | Algebra algebra Potential theory Stratified Lie groups Subelliptic-Laplacians Vector field maximum principle partial differential equation |
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This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry.
1) ERMANNO LANCONELLI:
--Education and Undergraduate Studies: Dec. 1966, Universita' di Bologna (Mathematics).
Career/Employment:
1975-present: Full Professor of Mathematical Analysis at Dipartimento di Matematica, Universita' di Bologna (Italy); Member of the 'Accademia dell'Istituto di Bologna' and of the 'Accademia delle Scienze, Lettere ed Arti di Modena'.
1968-1975: Theaching Assistant at Istituto di Matematica, Universita' di Bologna.
--Academic activity:
Director of the Istituto di Matematica di Bologna(1978/80),
Director of the Undergraduate Mathematics Program, University of Bologna (1990/1999, 2000-2002, 2006-present)
Director of PHD program, University of Bologna (1986/91, 1997/2000)
--INVITATIONS:
-University of Minnesota, Minneapolis (USA)
-University of Purdue, West La Fayette, Indiana (USA)
-Temple University, Philadelphia, Pennsylvania (USA)
-Rutgers University, New Brunswick, New Jersey (USA)
-University of Bern, Switzerland
-- Specialization main fields: Partial Differential Equations, Potential
Theory
--CURRENT RESEARCH INTEREST:
Second order linear and nonlinear partial differential equations with non- negative characteristic form and application to complex geometry and diffusion processes.
Potential Theory and Harmonic Analysis in sub-riemannian settings.
Real analysis and geometric methods.
--EDITORIAL BOARD: Nonlinear Differential Equations and Applications, Birkhauser.
--PUBLICATIONS: More than 70 papers in refereed journals.
2) UGUZZONI FRANCESCO:
--Education and Undergraduate Studies: Dec. 1994, Universita' di Bologna (Mathematics)
Career/Employment:
February 2000: Ph.D. in Mathematical Analysis at Dipartimento di Matematica, Universita' di Bologna (Italy).
October 1998: Assistant Professor at Dipartimento di Matematica, Universita' di Bologna.
--CURRENT RESEARCH INTEREST:
Second order linear and nonlinear partial differential equations with non- negative characteristic form and applications. Harmonic Analysis in sub- riemannian settings.
--PUBLICATIONS: About 30 papers in refereed journals.
3) ANDREA BONFIGLIOLI:
--Education and Undergraduate Studies: July 1998, Universita' di Bologna (Mathematics)
--Career/Employment:
March 2002: Ph.D. in Mathematical Analysis at Dipartimento di Matematica, Universita' di Bologna (Italy).
November 2006: Assistant Professor at Dipartimento di Matematica, Universita' di Bologna.
--CURRENT RESEARCH INTEREST:
Second order linear partial differential equations with non-negative characteristic form and applications. Potential Theory in stratified Lie groups.
--PUBLICATIONS: About 20 papers in refereed journals.