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.
β¦ LIBER β¦
A singular perturbation perspective on mode localization
β Scribed by G.S. Happawana; A.K. Bajaj; O.D.I. Nwokah
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 317 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Singular Perturbation on a Subdomain
β
G Aguilar; F Lisbona
π
Article
π
1997
π
Elsevier Science
π
English
β 229 KB
On a simple singular perturbation proble
β
Atsushi Yoshikawa
π
Article
π
1985
π
Elsevier Science
π
English
β 659 KB
On a class of singular perturbation prob
β
J.K. Knowles; R.E. Messick
π
Article
π
1964
π
Elsevier Science
π
English
β 833 KB
A note on the perturbation of singular v
β
G.W. Stewart
π
Article
π
1979
π
Elsevier Science
π
English
β 181 KB
Singular continuous spectrum under rank
β
Barry Simon; Tom Wolff
π
Article
π
1986
π
John Wiley and Sons
π
English
β 688 KB
Critical Points of a Singular Perturbati
β
Nicholas Alikakos; MichaΕ Kowalczyk
π
Article
π
1999
π
Elsevier Science
π
English
β 208 KB
In this paper we study the existence of critical points of the functional where 0 # R d , d 2 is a bounded domain with C 3 boundary, u # H 1 (0), and = is a small parameter. On the nonlinearity F we assume: ). Additionally we require that there exists q>1 such that for u>0 the function F$(u)Γu q i