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math.AP2013
The spectrum of a family of fourth-order equations near the global attractor
Robert J. McCann, Christian Seis
The thin-film and quantum drift diffusion equations belong to a fourth-order family of evolution equations proposed in ref. 16 to be analogous to the (second-order) porous medium f…
math.AP2013
Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator
Christian Seis
We compute the complete spectrum of the displacement Hessian operator, which is obtained from the confined porous medium equation by linearization around its stationary attractor,…