Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

Off-axis paraboloid reflector is a special optical element, its main function is to focus the incident light to a certain distance from the optical axis. The working principle is based on the ...

Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the Lp boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be ...