Time-invariant surfaces in evolution equations
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Mon, 22/04 17:00 |
Rolando Magnanini (Università degli Studi di Firenze) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| A time-invariant level surface is a (codimension one) spatial surface on which, for every fixed time, the solution of an evolution equation equals a constant (depending on the time). A relevant and motivating case is that of the heat equation. The occurrence of one or more time-invariant surfaces forces the solution to have a certain degree of symmetry. In my talk, I shall present a set of results on this theme and sketch the main ideas involved, that intertwine a wide variety of old and new analytical and geometrical techniques. | |||