Date: October, 30th, Tuesday
Time: 11:45 am
Place: Little 339 (the Atrium)
Speaker: Remy Friends Ndangali


Drinks and Pizza will be provided after the talk

Title: Green's functions , eigenfunctions and resonance

Abstract:

 Green's functions are very useful in solving linear
partial differential equations of mathematical physics .
As you may already know, the solution of an inhomogeneous linear diff. eq in one variable is
obtained by adding a solution of the related homogeneous equation to a
particular solution . Green's functions provide a means to generalize
this to higher dimensions .
We introduce a general definition of the Green's function for an
operator on a linear space . We give an example of it's use in solving
the Helmholtz equation with homogeneous boundary conditions . In this
particular case we expand it in eigenfunctions of the Laplace operator
and define the notion of resonnance .
Prerequisites(As suggested by the speaker) : anything green
and some calc 3 .

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