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A short tour of Sobolev spaces

Gantumur Tsogtgerel
Mathematics Department, UCSD

Abstract:

In this talk, I will try to answer the following questions:

- Why Sobolev spaces?

- What is a Sobolev space and what are its basic properties?

- Is there a Holder-type inequality for the product of two Sobolev functions?

- Some other questions that may come up.

Of course these results have long been known but I will mainly focuson some subtle points one should be careful about and results that maynot be easily available in the literature.

Wednesday, March 5, 2008
11:00AM AP&M 2402