On the asymptotic behavior of Dirichlet problems in a Riemannian manifold less small random holes
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Publication:1284637
zbMath0922.31008MaRDI QIDQ1284637
Lino Notarantonio, Michele Balzano
Publication date: 30 May 1999
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RSMUP_1998__100__249_0
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Potentials and capacities on other spaces (31C15) Perturbations of PDEs on manifolds; asymptotics (58J37) Potential theory on Riemannian manifolds and other spaces (31C12)
Related Items
Neumann Laplacian in a perturbed domain ⋮ Spectral convergence of the Laplace operator with Robin boundary conditions on a small hole ⋮ Magnetic Neumann Laplacian on a domain with a hole ⋮ Stopping time convergence for processes associated with Dirichlet forms ⋮ Wildly perturbed manifolds: norm resolvent and spectral convergence
Cites Work
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- Asymptotic behaviour of Dirichlet problems on a Riemannian manifold
- Wiener's criterion and \(\Gamma\)-convergence
- Spectra of manifolds less a small domain
- Random relaxed Dirichlet problems
- Potential and scattering theory on wildly perturbed domains
- Probabilistic methods in some problems of scattering theory
- Spectra of domains in compact manifolds
- An introduction to \(\Gamma\)-convergence
- Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou
- Weakly Differentiable Functions
- THE FIRST BOUNDARY VALUE PROBLEM IN DOMAINS WITH A COMPLICATED BOUNDARY FOR HIGHER ORDER EQUATIONS
- THE METHOD OF ORTHOGONAL PROJECTIONS AND THE DIRICHLET PROBLEM IN DOMAINS WITH A FINE-GRAINED BOUNDARY
