Global stability for solutions to the exponential PDE describing epitaxial growth
Jian-Guo Liu
Duke University, Durham, USARobert M. Strain
University of Pennsylvania, Philadelphia, USA
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Abstract
In this paper we prove the global existence, uniqueness, optimal large time decay rates, and uniform gain of analyticity for the exponential PDE in the whole space . We assume the initial data is of medium size in the Wiener algebra ; we use the initial condition 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].
Cite this article
Jian-Guo Liu, Robert M. Strain, Global stability for solutions to the exponential PDE describing epitaxial growth. Interfaces Free Bound. 21 (2019), no. 1, pp. 61–86
DOI 10.4171/IFB/417