Reflector problem in \({\mathbb R^n}\) endowed with non-Euclidean norm
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Publication:834765
DOI10.1007/s00205-009-0221-1zbMath1173.78003OpenAlexW2007183351MaRDI QIDQ834765
Qingbo Huang, Luis A. Caffarelli
Publication date: 27 August 2009
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-009-0221-1
Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Variational methods applied to problems in optics and electromagnetic theory (78M30)
Related Items (6)
The refractor problem in reshaping light beams ⋮ On the \(L_q\)-reflector problem in \(\mathbb{R}^n\) with non-Euclidean norm ⋮ On the generalized \(L_q\)-reflector inverse problem with variational methods ⋮ The near field refractor ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ Refractors in anisotropic media associated with norms
Cites Work
- Weak solutions of one inverse problem in geometric optics
- On the limits of periodic Riemannian metrics
- On a Monge-Ampère equation arising in geometric optics
- On the design of a reflector antenna. II
- On the regularity of reflector antennas
- Existence of optimal maps in the reflector-type problems
- On the design of a reflector antenna
- A Minkowski-style theorem for focal functions of compact convex reflectors
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