Stability of solutions of mildly nonlinear elliptic problems
Journal Article
·
· Indiana Univ. Math. J.; (United States)
A solution u* of the second-order mildly nonlinear elliptic boundary-value problem Lu = F(u) in ..cap omega.., B/sub sigma/u = phi on par.delta ..cap omega.. is called classical if u* is an element of C(..cap omega..-bar)IC/sup sigma/(..cap omega..US)IC/sup 2/(..cap omega..), where U and I stand for union and intersection, S is the smooth part of the boundary, and sigma is 0 or 1 according as B/sub sigma/ is a zeroth- or first-order derivative boundary operator. The existence and stability of these classical solutions are studied. 2 figures. (RWR)
- Research Organization:
- Los Alamos Scientific Lab., NM
- OSTI ID:
- 7297223
- Journal Information:
- Indiana Univ. Math. J.; (United States), Journal Name: Indiana Univ. Math. J.; (United States) Vol. 25:11; ISSN IUMJA
- Country of Publication:
- United States
- Language:
- English
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