ON THE CLASSICAL SOLVABILITY OF NEAR FIELD REFLECTOR PROBLEMS

JIAKUN LIU; NEIL S. TRUDINGER

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ON THE CLASSICAL SOLVABILITY OF NEAR FIELD REFLECTOR PROBLEMS

机译：论近场反射器问题的经典可解

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In this paper we prove the existence of classical solutions to near field reflector problems, both for a point light source and for a parallel light source, with planar receivers. These problems involve Monge-Ampère type equations, subject to nonlinear oblique boundary conditions. Our approach builds on earlier work in the optimal transportation case by Trudinger and Wang and makes use of a recent extension of degree theory to oblique boundary conditions by Li, Liu and Nguyen.

机译：在本文中，我们证明了具有平面接收器的点光源和平行光源的近场反射器问题的经典解决方案。这些问题涉及Monge-Ampère类型方程，受非线性倾斜边界条件。我们的方法通过Trudinger和Wang在最佳运输案件中建立了早期的工作，并利用了最近的学位理论延伸到Li，Liu和Nguyen的倾斜边界条件。

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来源
《Discrete and continuous dynamical systems》 |2016年第2期|895-916|共22页
作者
JIAKUN LIU; NEIL S. TRUDINGER;
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作者单位

School of Mathematics and Applied Statistics University of Wollongong Wollongong NSW 2522 Australia;

Centre for Mathematics and Its Applications The Australian National University Canberra ACT 0200 Australia;

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原文格式 PDF
正文语种 eng
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关键词
Reflector; Monge-Ampère; obliqueness; existence; regularity;

机译：反射器;Monge-Ampère;倾斜;存在;规律性;

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机译：关于近场反射器问题的经典可解性

ON THE CLASSICAL SOLVABILITY OF NEAR FIELD REFLECTOR PROBLEMS

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