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Graduate Student Analysis Seminar

On Laplace equation in an exterior domain with a nonzero boundary condition at infinity

Jeaheang Bang, Rutgers University

Location:  GSL
Date & time: Thursday, 01 March 2018 at 5:00PM - 6:00PM


    Abstract:  We will discuss Laplace equation in an exterior domain in Euclidean space, which is by definition the complement of a compact subset. In addition, we impose boundary conditions on it: a solution vanishes on the “actual” boundary, and a solution converges to a given nonzero constant at infinity. In this setting, particularly we will investigate:

    1) existence,

    2) regularity and

    3) behavior at infinity of a weak solution.

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