Global stability for solutions to the exponential PDE describing epitaxial growth. Liu, J. & Strain, R. M. Interfaces Free Bound., 21(1):61–86, 2019. ![Global stability for solutions to the exponential PDE describing epitaxial growth [link]](https://bibbase.org/img/filetypes/link.svg "link")
Arxiv doi abstract bibtex 2 downloads In this paper we prove the global existence, uniqueness, optimal large time decay rates, and uniform gain of analyticity for the exponential PDE $h_t=Δ e^{-Δ h}$ in the whole space $ℝ^d_x$. We assume the initial data is of medium size in the critical Wiener algebra $Δ h ∈ A(ℝ^d)$. This exponential PDE was derived in (Krug, Dobbs, and Majaniemi in 1995) and more recently in (Marzuola and Weare 2013).
@article{LS2019,
abstract = {In this paper we prove the global existence, uniqueness, optimal large time
decay rates, and uniform gain of analyticity for the exponential PDE
$h_t=\Delta e^{-\Delta h}$ in the whole space $\mathbb{R}^d_x$. We assume the
initial data is of medium size in the critical Wiener algebra $\Delta h \in
A(\mathbb{R}^d)$. This exponential PDE was derived in (Krug, Dobbs, and
Majaniemi in 1995) and more recently in (Marzuola and Weare 2013).},
author = {Jian-Guo Liu and Robert M. Strain},
date-added = {2019-07-13 15:27:26 -0400},
date-modified = {2019-08-08 14:21:35 -0600},
doi = {10.4171/IFB/417},
eprint = {1805.02246},
fjournal = {Interfaces and Free Boundaries. Mathematical Analysis, Computation and Applications.},
issn = {1463-9963},
journal = {Interfaces Free Bound.},
keywords = {Free boundary problems, Materials science},
mrclass = {35K25 (35B40 35K55 35K65 74A50)},
mrnumber = {3951578},
number = {1},
pages = {61--86},
title = {Global stability for solutions to the exponential {PDE} describing epitaxial growth},
url_arxiv = {https://arxiv.org/abs/1805.02246},
volume = {21},
year = {2019},
zblnumber = {07084773},
bdsk-url-1 = {https://doi.org/10.4171/IFB/417}}
Downloads: 2
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