In the paper we study boundary-value and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the rest boundary there is a Steklov condition. We study the behaviour of the initial problem when a small parameter defining the size of the Dirichlet parts of the boundary tends to zero
Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition / Chechkina, Aleksandra G.; D’Apice, Ciro; De Maio, Umberto. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 376:(2020), pp. 1-11. [10.1016/j.cam.2020.112802]
Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition
De Maio, Umberto
2020
Abstract
In the paper we study boundary-value and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the rest boundary there is a Steklov condition. We study the behaviour of the initial problem when a small parameter defining the size of the Dirichlet parts of the boundary tends to zeroI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
