On a simple singular perturbation problem
โ Scribed by Atsushi Yoshikawa
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 659 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0022-0396
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๐ SIMILAR VOLUMES
where the interface bRl n R = bR2 n R is a "regular" surface with minimal area. This problem has been analyzed, among others, by De Giorgi, Franzone, and Ambrogio in [3] and[4], Can, Gurtin, and Slemrod in [2], Alikakos and Shaing in [l], Modica in [7], Modica and Mortola in [8], Kohn and Sternberg
We consider a kind of singularly perturbed problem with a small positive parameter affecting the second order derivative only in a part of the domain. We analyse the existence and uniqueness of the solution and the asymptotic behaviour as the small parameter goes to zero.