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Augmenting Characteristic Mode Orthogonality via Iteratively Applied Constraints
Affine constraints are iteratively applied to enforce multiple orthogonality conditions on currents satisfying a general eigenvalue problem. As an example, the characteristic mode eigenvalue problem is iteratively solved w...
Electrical and electronic engineering
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Spectral Isoperimetric Inequality for the Delta' -Interaction on a Contour
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive Delta'-interaction of a fixed strength, the support of which is a C2-smooth contour. Under the con...
Pure mathematics
- 2021 •
- C •
- Link
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C - Kapitola v odborné knize
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Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones
We consider the problem of geometric optimization of the lowest eigenvalue with the Gauss curvature bounded from above by a constant K-o >= 0 and under the constraint Robin eigenvalue. In the same geometric setting, it is p...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Comparison of Semidefinite Solvers for Topology Optimization of Cantilever Trusses Subject to Fundamental Eigenvalue Constraint
to the constraints on structural volume and on the fundamental eigenvalue of free vibrations...
JN - Stavebnictví
- 2016 •
- O •
- Link
Rok uplatnění
O - Ostatní výsledky
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Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle
of the lowest eigenvalue among all triangles of a given area provided that the negative area constraint in the regimes of small and large couplings. We also discuss the constraint of fixed perimeter....
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the Goldberg?Sachs theorem in higher dimensions in the non-twisting case
eigenvalues. In particular, there necessarily exists at least one multiple eigenvalue, and further constraints arise in various special cases. For example, when ? is non-degenerate and certain (boost weight zero) Weyl comp...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Optimization of the lowest eigenvalue for leaky star graphs
We consider the problem of geometric optimization for the lowest eigenvalue of the two-imensional Schrödinger operator with an attractive delta-interaction of an equal length is in the interval from 0 to infinity. Under the constraint
Pure mathematics
- 2018 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
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Optimisation of the Lowest Robin Eigenvalue in the Exterior of a Compact Set
We consider the problem of geometric optimisation of the lowest eigenvalue of the Laplacian in the exterior of a compact planar set, subject to attractive Robin boundary conditions. Under either a constraint of fixed perimeter or ar...
Pure mathematics
- 2018 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain
negative, there are at least two discrete eigenvalues below the essential spectrum. We state a general conjecture that the second eigenvalue is maximised by the exterior of a disk under isochoric or isoperimetric constraints
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Optimisation of the Lowest Robin Eigenvalue in the Exterior of a Compact Set, II: Non-Convex Domains and Higher Dimensions
We consider the problem of geometric optimisation of the lowest eigenvalue and Lotoreichik J. Convex Anal. 25, 319-337, 2018), we show that under either a constraint. Namely, we prove that under a constraint of fixed averag...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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