Scattering length and perturbations of \(-\Delta\) by positive potentials

DOI10.1016/0022-247X(76)90112-8zbMath0336.31005OpenAlexW2070561321MaRDI QIDQ1230137

Michael E. Taylor

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(76)90112-8

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Higher-dimensional potential theory (31B99)

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Cites Work

• Potential and scattering theory on wildly perturbed domains
• Scattering length and capacity
• Electrostatic capacity, heat flow, and brownian motion
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Approximation of obstacles by high potentials; convergence of scattering waves
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