Different inks may have different mechanical and/or optical properties. Existing Yule-Nielsen modified Neugebauer spectral prediction models assume however that the inks forming a color halftone behave similarly, i.e. that a single n-factor can model the lateral propagation of light within the paper as well as non-uniformities of the ink dot thickness profiles. However, if the inks have very di...

— In this paper, we give a completely algebraic description of Nahm transform for parabolic Higgs bundles on P. 2 KÜRŞAT AKER & SZILÁRD SZABÓ

The Hopf Lemma for second order elliptic operators is proved to hold in domains with C, and even less regular, boundaries. It need not hold for C boundaries. Corresponding results are proved for second order parabolic operators.

and Applied Analysis 3

We consider in this work representations of the of the fundamental group of the 3-punctured sphere in PU(2, 1) such that the boundary loops are mapped to PU(2, 1). We provide a system of coordinates on the corresponding representation variety, and analyse more specifically those representations corresponding to subgroups of (3, 3,∞)-groups. In particular we prove that it is possible to construc...

Heat equation: in B = Q ∪ Ω ∂ t (c(x)u(x, t)) − ∇ · (κ(x)∇u(x, t)) = 0 u(x, t): temperature c(x): heat capacity κ(x): heat conductivity Special case: c(x) = 1 in Ω 0 in Q κ(x) = κ 1 > 1 in Ω 1 in Q Ω Q parabolic equation in Ω (" ∂ t u − ∆u = 0 ") elliptic equation in Q (" ∆u = 0 ") Motivation:

We investigate a class of over-determined parabolic problems involving a non-constant boundary condition. The Weinstein’s technique known for the elliptic problems is extended to the parabolic one by means of auxiliary functions and Green classical formula.