#### 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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