Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

DOI10.1017/S0956792505006145zbMath1090.35070OpenAlexW2129180949MaRDI QIDQ5714577

Michèle S. Titcombe, Theodore Kolokolnikov, Michael J. Ward

Publication date: 3 January 2006

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792505006145

zbMATH Keywords

Ginzburg-Landau theory of superconductivityNeumann Green's functionfundamental eigenvalueexpected lifetimeGierer-Meinhardt reaction-diffusion modelLaplacian in planar a domain with holesoxygen transport problem in skeletal muscle tissue

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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