Global stability for solutions to the exponential PDE describing epitaxial growth

  • Jian-Guo Liu

    Duke University, Durham, USA
  • Robert M. Strain

    University of Pennsylvania, Philadelphia, USA
Global stability for solutions to the exponential PDE describing epitaxial growth cover
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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