Large Coupling Convergence: Overview and New Results

DOI10.1007/978-3-0348-0024-2_2zbMath1264.47006OpenAlexW2233404748MaRDI QIDQ2904899

Hichem BelHadjAli, Johannes F. Brasche, Ali Ben Amor

Publication date: 24 August 2012

Published in: Partial Differential Equations and Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0024-2_2

zbMATH Keywords

measuresrate of convergenceSchrödinger operatorsDirichlet formsDynkin's formulapositive perturbationsoperator norm convergencetrace-class convergence

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (4)

Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ A comparison of bimolecular reaction models for stochastic reaction-diffusion systems ⋮ Large coupling convergence with negative perturbations

Cites Work

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• Trace inequalities for operators associated to regular Dirichlet forms
• Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients

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