CORDIS Project
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This project explores the regularity theory of free boundary problems, which are relevant in various fields such as physics and engineering. It aims to develop new techniques for analyzing the structure of free boundaries in problems like melting ice and financial options.
The focus of this project is the regularity theory of free boundary problems.
This is a fascinating topic, which combines methods from Analysis and Geometry, and has numerous applications to a large variety of problems in Physics, Engineering and Economy, which involve partial differential equations on domains whose boundary is free, that is, it is not a priori known.
Typical examples are the Stefan problem, describing the evolution of a block of melting ice, and the American stock options.
Sinc…
UNIVERSITA DI PISA
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