Global stability for solutions to the exponential PDE describing epitaxial growth
Publication
, Journal Article
Liu, JG; Strain, RM
Published in: Interfaces and Free Boundaries
January 1, 2019
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 Rdx . 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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Published In
Interfaces and Free Boundaries
DOI
ISSN
1463-9963
Publication Date
January 1, 2019
Volume
21
Issue
1
Start / End Page
61 / 86
Related Subject Headings
- Applied Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
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Liu, J. G., & Strain, R. M. (2019). Global stability for solutions to the exponential PDE describing epitaxial growth. Interfaces and Free Boundaries, 21(1), 61–86. https://doi.org/10.4171/IFB/417
Liu, J. G., and R. M. Strain. “Global stability for solutions to the exponential PDE describing epitaxial growth.” Interfaces and Free Boundaries 21, no. 1 (January 1, 2019): 61–86. https://doi.org/10.4171/IFB/417.
Liu JG, Strain RM. Global stability for solutions to the exponential PDE describing epitaxial growth. Interfaces and Free Boundaries. 2019 Jan 1;21(1):61–86.
Liu, J. G., and R. M. Strain. “Global stability for solutions to the exponential PDE describing epitaxial growth.” Interfaces and Free Boundaries, vol. 21, no. 1, Jan. 2019, pp. 61–86. Scopus, doi:10.4171/IFB/417.
Liu JG, Strain RM. Global stability for solutions to the exponential PDE describing epitaxial growth. Interfaces and Free Boundaries. 2019 Jan 1;21(1):61–86.
Published In
Interfaces and Free Boundaries
DOI
ISSN
1463-9963
Publication Date
January 1, 2019
Volume
21
Issue
1
Start / End Page
61 / 86
Related Subject Headings
- Applied Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics