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Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth

โœ Scribed by Michael Winkler


Book ID
105767331
Publisher
Springer
Year
2011
Tongue
English
Weight
472 KB
Volume
62
Category
Article
ISSN
0044-2275

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A fourth-order parabolic equation modeli
โœ Belinda B. King; Oliver Stein; Michael Winkler ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 805 KB

We study the continuum model for epitaxial thin film growth from Phys. D 132 (1999) 520-542, which is known to simulate experimentally observed dynamics very well. We show existence, uniqueness and regularity of solutions in an appropriate function space, and we characterize the existence of nontriv