Frequency functions, monotonicity formulas, and the thin obstacle<br/><br/>problem
Monday, March 4, 2013 - 11:00am - 11:30am
Keller 3-180
Donatella Danielli (Purdue University)
Monotonicity formulas play a pervasive role in the study of
variational inequalities and free boundary problems. In this talk we will
describe a new approach to a classical problem, namely the thin obstacle (or
Signorini) problem, based on monotonicity properties for a family of
so-called frequency functions.
Donatella Danielli is a Professor of Mathematics at Purdue
University. She received a Laurea cum Laude in Mathematics from the
University of Bologna, Italy (1989), and a Ph.D. degree in Mathematics from
Purdue University (1999) under the direction of Carlos Kenig. Her research
areas are partial differential equations, harmonic analysis, and
sub-Riemannian geometry. She has been the recipient of an NSF CAREER Award,
a Purdue University Teaching for Tomorrow Award, and a Ruth and Joel Spira
Award for Graduate Teaching. Before joining the Purdue University faculty in
2001, she held positions at The Johns Hopkins University and at the Institut
Mittag-Leffler in Sweden. She is the author of 40 published papers and 2
monographs. She is the creator and organizer of the Symposia on Analysis and
PDEs and the Women in Mathematics Days, both at Purdue University.
variational inequalities and free boundary problems. In this talk we will
describe a new approach to a classical problem, namely the thin obstacle (or
Signorini) problem, based on monotonicity properties for a family of
so-called frequency functions.
Donatella Danielli is a Professor of Mathematics at Purdue
University. She received a Laurea cum Laude in Mathematics from the
University of Bologna, Italy (1989), and a Ph.D. degree in Mathematics from
Purdue University (1999) under the direction of Carlos Kenig. Her research
areas are partial differential equations, harmonic analysis, and
sub-Riemannian geometry. She has been the recipient of an NSF CAREER Award,
a Purdue University Teaching for Tomorrow Award, and a Ruth and Joel Spira
Award for Graduate Teaching. Before joining the Purdue University faculty in
2001, she held positions at The Johns Hopkins University and at the Institut
Mittag-Leffler in Sweden. She is the author of 40 published papers and 2
monographs. She is the creator and organizer of the Symposia on Analysis and
PDEs and the Women in Mathematics Days, both at Purdue University.
MSC Code:
35A16
Keywords: