A transport equation of mixed type [electronic resource]

9780591403916

1997

1 online resource (48 p.)

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We study existence, uniqueness, and regularity of solutions to an equation of mixed type which models plasma equilibrium. The equation can be classified as a two-way diffusion equation; such equations often appear in physics. We use a variational method to obtain existence and uniqueness. Hypoellipticity is used to obtain regularity. By studying the the time-dependent problem we obtain an explicit relative fundamental solution to our equation, with a view to studying a singular perturbation problem connected with it.

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English

July 12, 2011

Thesis (Ph.D.)--Yale University, 1997.

Yale University.