Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
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. von Bonfiglioli, Andrea und Lanconelli, Ermanno und Uguzzoni, Francesco
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.
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