Monotonicity Formulas and Fractional Obstacle Problems

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Meeting ID: 943 2946 2067
Passcode: 556139
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Meeting ID: 943 2946 2067
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Meeting ID: 943 2946 2067
Passcode: 556139

Friday, February 26, 2021 - 15:30


Speaker Information
Donatella Danielli
Arizona State University

Abstract or Additional Information

Obstacle problems play a ubiquitous role in the applied sciences, with applications ranging from linear elasticity to fluid dynamics, from temperature control to financial mathematics. In this talk we will show how seemingly different phenomena can be expressed in terms of a problem of obstacle type for the parabolic fractional heat operator. We will also discuss some recent results concerning the regularity of the solution and of its free boundary. In particular, we will highlight the pervasive role played by some families of monotonicity formulas.