We study solutions of certain nonlinear Dirac-type equations on Riemann spin surfaces. We first improve an energy identity theorem for a sequence of such solutions with uniformly bounded energy in the case of a fixed domain. Then, we prove the corresponding energy identity in the case that the equations have constant coefficients and the domains possibly degenerate to a spin surface with only N...

This paper deals with an inverse problem of determining a nonlinear source term in a quasilinear diffusion equation with overposed final observations. Applying integral identity methods, data compatibilities are deduced by which the inverse source problem here is proved to be reasonable and solvable. Furthermore, with the aid of an integral identity that connects the unknown source terms with t...

— We prove the existence of infinitely many solitary waves for the nonlinear KleinGordon or Schrödinger equation ∆u− u + u = 0, in R, which have finite energy and whose maximal group of symmetry reduces to the identity.

A fingerprint authentication system for the privacy protection of the virtual identity is introduced. By extracting minutiae points from one fingerprint, orientation from other fingerprint and reference points from both the fingerprints, a new biometric authentication framework is proposed for identifying an individual. With the help of these three combined features a new virtual identity is ge...

We consider the nonlinear Schrödinger equation with a pure power repulsive nonlinearity on Schwarzschild manifolds. Equations of this type arise when a nonlinear wave equation on a Schwarzschild manifold is written in Hamiltonian form, cf. [2], [10]. For radial solutions with sufficiently localized initial data, we obtain global existence, L estimates, and the existence and asymptotic completen...

Recognising face with large pose variation is more challenging than that in a fixed view, e.g. frontal-view, due to the severe non-linearity caused by rotation in depth, selfshading and self-occlusion. To address this problem, a multi-view dynamic face model is designed to extract the shape-and-pose-free facial texture patterns from multi-view face images. Kernel Discriminant Analysis is develo...