TY - JOUR
T1 - Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains
AU - Pchelintsev, Valerii
AU - Ukhlov, Alexander
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.
PY - 2024/1/1
Y1 - 2024/1/1
N2 - We study spectral stability estimates for the Dirichlet eigenvalues of the Laplace operator in bounded two-connected planar domains. We propose a method based on the conformal analysis of elliptic operators. Owing to this method, it is possible to obtain spectral stability estimates in domains with nonrectifiable boundaries.
AB - We study spectral stability estimates for the Dirichlet eigenvalues of the Laplace operator in bounded two-connected planar domains. We propose a method based on the conformal analysis of elliptic operators. Owing to this method, it is possible to obtain spectral stability estimates in domains with nonrectifiable boundaries.
UR - http://www.scopus.com/inward/record.url?scp=85193293164&partnerID=8YFLogxK
U2 - 10.1007/s10958-024-07148-3
DO - 10.1007/s10958-024-07148-3
M3 - Article
AN - SCOPUS:85193293164
SN - 1072-3374
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
ER -