A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains

DOI10.1007/BF02572365zbMath0822.31005OpenAlexW2325970392MaRDI QIDQ1895787

Yanyan Li

Publication date: 25 October 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174773

zbMATH Keywords

resolventnorm resolvent convergenceconvergence of formsconvergence theorem for measure perturbations of Dirichlet forms

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory of linear operators (47A40)

Related Items (14)

Dirichlet forms and stochastic completeness of graphs and subgraphs ⋮ Local and global uniform convergence for elliptic problems on varying domains ⋮ Bounds on the spectral shift function and the density of states ⋮ The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed ⋮ Generalised norm resolvent convergence: comparison of different concepts ⋮ Waveguides with combined Dirichlet and Robin boundary conditions ⋮ Skew Brownian diffusions across Koch interfaces ⋮ Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements ⋮ The nodal surface of the second eigenfunction of the Laplacian in \(\mathbb{R}^D\) can be closed ⋮ Nodal domains and spectral minimal partitions ⋮ Information Theory, Spectral Geometry, and Quantum Gravity ⋮ On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics – ⋮ On the decomposition principle and a Persson type theorem for general regular Dirichlet forms ⋮ Dirichlet problems on varying domains.

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