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New Challenges in the Calculus of Variations

Irene Fonseca
Carnegie Mellon University

Fourth Annual AWM-SIAM Kovalevsky Lecture
July 10, 2006

Boston, Massachusetts

Abstract. Many current questions in applied analysis are motivated by issues in the physical sciences or engineering. They require state-of-the-art techniques, new ideas, and the introduction of innovative tools in the calculus of variations, differential equations, and geometric measure theory. This talk will focus on the variational approach as it is used to treat problems on foams, imaging, micromagnetics, and thin structures.

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