On the regularity of weak solutions to refractor problem

Author(s)

On the regularity of weak solutions to refractor problem Aram Karakhanyan

In this note we derive the Monge-Ampere type equation in Euclidian coordinates describing the refraction phenomena of perfect lens. This simplies the regularity issues of the weak solutions on the problem.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/50 Armenian Journal of Mathematics, 2(1) 28-37

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Keywords

Monge-Ampere type equations, refracting surfaces, optimal mass transfer

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