ON THE ASYMPTOTIC BEHAVIOR OF EIGENVALUES AND EIGENFUNCTIONS OF THE ROBIN PROBLEM WITH LARGE PARAMETER
2017 ◽
Vol 22
(1)
◽
pp. 37-51
◽
Keyword(s):
We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on ∂Ω, where Ω ⊂ Rn , n ≥ 2 is a bounded domain with a smooth boundary, ν is the outward unit normal, α is a real parameter. We obtain two terms of the asymptotic expansion of simple eigenvalues of this problem for α → +∞. We also prove an estimate to the difference between Robin and Dirichlet eigenfunctions.
2017 ◽
Vol 21
(6)
◽
pp. 135-140
2004 ◽
Vol 2004
(16)
◽
pp. 807-825
◽
2016 ◽
Vol 28
◽
pp. 126-139
2009 ◽
Vol 139
(1)
◽
pp. 157-181
◽
2008 ◽
Vol 20
(08)
◽
pp. 901-932
◽
2013 ◽
Vol 12
(6)
◽
pp. 2393-2408
2021 ◽
Vol 13
(2)
◽
pp. 321-335
2018 ◽
Vol 68
(1)
◽
pp. 422-440
Keyword(s):