Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary
From MaRDI portal
Publication:950003
DOI10.1016/j.crme.2008.06.008zbMath1145.35359OpenAlexW1972885483MaRDI QIDQ950003
Gregory A. Chechkin, Youcef Amirat, Rustem R. Gadyl'shin
Publication date: 22 October 2008
Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crme.2008.06.008
Periodic solutions to PDEs (35B10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (12)
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses ⋮ Weakly singular Steklov condition in the multidimensional case ⋮ Homogenized equations of the linear elasticity in two-dimensional domains with very rough interfaces ⋮ Averaging in cascade junctions with a ``wide transmission domain ⋮ Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles ⋮ Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction ⋮ On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary ⋮ Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone
This page was built for publication: Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary
