**UM Math Graduate Student Seminar**

Jorge Cardona

* University of Miami *

**will present**

**Multiplication of Distributions**

Friday, November 11, 2016, 5:00pm

Ungar Building Room 402

**Abstract: **

In this talk we will review few examples where the notion of multiplication of distributions is needed, together with L. Schwartz's (1954) counterexample in the impossibility of a "natural" theory of such product. We will consider two ways to solve this issue: using L. Hörmander (1970) construction based on wave front sets and the theory of J.F. Colombeau (1984), the now called Colombeau algebra of "new" generalized functions, if time allows some basic examples in PDE will be revisited.

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