5 papers
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…
Energy Dissipative Solution to a Nonlinear Parabolic Systems with Unknown Dependent Coefficients
Naotaka Ukai
In this paper, we investigate a system of parabolic partial differential equations with unknown-dependent coefficients that integrates two models: an anisotropic orientation-adapti…
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…
Elliptic and Pseudo-Parabolic PDE System with Orientation-Adaptive Anisotropy
Naotaka Ukai
In this paper, we consider a coupled system of nonlinear elliptic and pseudo-parabolic PDEs arising in anisotropic monochrome image denoising with orientation-adaptation. The syste…
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…