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Regularity of the Heat Operator on a Cone

by

Thalia Jeffres, Universidad Michoacana

October 14, 2003
4:30 pm
Bailey Hall 100

Refreshments in the common room at 4:00


Abstract:

In this joint work with Paul Loya, we studied differentiability properties of solutions to heat equation on a cone manifold. We described the mapping properties of the heat operator in spaces of whole and fractional (Hölder) derivatives. For initial data in appropriately defined Hölder spaces, the estimates are good enough to prove existence of solutions of certain semilinear parabolic equations. This talk will be accessible to a general audience including graduate students.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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