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math.AP2015★ 2 cited
Neumann Homogenization via Integro-Differential Operators, Part 2: singular gradient dependence
Nestor Guillen, Russell W. Schwab
We continue the program initiated in a previous work, of applying integro-differential methods to Neumann Homogenization problems. We target the case of linear periodic equations w…
math.AP2015
Pointwise estimates and regularity in geometric optics and other Generated Jacobian Equations
Nestor Guillen, Jun Kitagawa
The study of reflector surfaces in geometric optics necessitates the analysis of certain nonlinear equations of Monge-Ampère type known as generated Jacobian equations. These equat…