Perona malik equation - Study guides, Class notes & Summaries

We study a generalization of a cross-diffusion problem deduced from a nonlinear complex- variable diffusion model for signal and image denoising. We prove the existence of weak solutions of the time-independent problem with fidelity terms under mild conditions on the data problem. Then, we show that this translates on the well-posedness of a quasi-steady state approximation of the evolution problem, and also prove the existence of weak solutions of the latter under more restrictive hypothes...