DG - MP - PDE Seminar: Lu Li (UBC)
Speakers
Details
Abstract:
I will talk about the backward uniqueness of the heat equation in unbounded domains. It is known that a bounded solution of the heat equation in a half-space which becomes zero at some time must be identically zero, even though no assumptions are made on the boundary values of the solutions. In a recent example, Luis Escauriaza showed that this statement fails if the half-space is replaced by cones with opening angle smaller than 90 degrees. In a joint work with Vladimir Sverak we show the result remains true for cones with opening angle larger than 110 degrees. Our proof covers heat equations having lower-order terms with bounded measurable coefficients.
Additional Information
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Lu Li (UBC)
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Lu Li (UBC)
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This is a Past Event
Event Type
Scientific, Seminar
Date
September 20, 2011
Time
-
Location