4 papers · 1 filter
Large-Time Behavior of Pseudo-Parabolic Equations Associated with Generalized Total Variation Energies
Daisuke Kubota, Daiki Mizuno, Ken Shirakawa +1
In this paper, we study the well-posedness and large-time behavior of a pseudo-parabolic problem associated with a generalized total variation energy in the -framework. A main…
Well-Posedness of Pseudo-Parabolic Gradient Systems with State-Dependent Dynamics
Harbir Antil, Daiki Mizuno, Ken Shirakawa +1
This paper develops a general mathematical framework for pseudo-parabolic gradient systems with state-dependent dynamics. The state dependence is induced by variable coefficient fi…
Well-posedness of parabolic KWC-systems with variable-dependent mobilities
Daiki Mizuno, Ken Shirakawa
In this paper, we deal with the parabolic KWC system, associated with the mathematical model of grain boundary motion. The goal of this paper is to guarantee the well-posedness of…
A gradient system based on anisotropic monochrome image processing with orientation auto-adjustment
Harbir Antil, Daiki Mizuno, Ken Shirakawa +1
This paper is devoted to the mathematical analysis of a system of pseudo-parabolic partial differential equations governed by an energy functional, associated with anisotropic mono…