Math @ Duke
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Publications [#347995] of Jian-Guo Liu
Papers Published
- Liu, JG; Strain, RM, Global stability for solutions to the exponential PDE describing epitaxial growth,
Interfaces and Free Boundaries, vol. 21 no. 1
(January, 2019),
pp. 61-86 [doi]
[high impact paper]
(last updated on 2025/07/04)
Abstract: In this paper we prove the global existence, uniqueness, optimal large time decay rates, and uniform gain of analyticity for the exponential PDE ht D eh in the whole space Rd x . We assume the initial data is of medium size in the Wiener algebra A.Rd /; we use the initial condition h0 2 A.Rd / which is scale-invariant with respect to the invariant scaling of the exponential PDE. This exponential PDE was derived in [18] and more recently in [22].
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