Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations
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Publication:5268950
DOI10.1002/cpa.21691zbMath1375.35234arXiv1501.07332OpenAlexW2962826227MaRDI QIDQ5268950
Publication date: 21 June 2017
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.07332
Related Items (19)
On the numerical solution of the near field refractor problem ⋮ \(C^{1, \alpha}\) estimates for the parallel refractor ⋮ On the local theory of prescribed Jacobian equations revisited ⋮ An iterative method for generated Jacobian equations ⋮ \(C^{1,\alpha}\)-estimates for the near field refractor ⋮ A least-squares method for the solution of the non-smooth prescribed Jacobian equation ⋮ First and second derivative Hölder estimates for generated Jacobian equations ⋮ Strict g-Convexity for Generated Jacobian Equations with Applications to Global Regularity ⋮ On proving 𝐶^{1,𝛼}_{𝑙𝑜𝑐}-estimates for convex functions ⋮ Bounds on Choquet risk measures in finite product spaces with ambiguous marginals ⋮ A note on second derivative estimates for Monge-Ampère-type equations ⋮ Weak solutions of generated Jacobian equations ⋮ DISTINCT SOLUTIONS TO GENERATED JACOBIAN EQUATIONS CANNOT INTERSECT ⋮ Strict convexity and \(C^1\) regularity of solutions to generated Jacobian equations in dimension two ⋮ Refractor surfaces determined by near-field data ⋮ On the second boundary value problem for Monge-Ampère type equations and geometric optics ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ An Iterative Least-Squares Method for Generated Jacobian Equations in Freeform Optical Design ⋮ A damped Newton algorithm for generated Jacobian equations
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