Special Session 107: Recent advances in regularity theory for local and nonlocal elliptic and parabolic equations
Existence results for nonlinear diffusion equations with drifts in divergence form
Sukjung Hwang
Chungbuk National University Korea
Co-Author(s):
Abstract:
In this presentation, we discuss recent existence results for nonlinear diffusion equations with drift terms in divergence form. These results are broadly applicable to a variety of reaction diffusion models, including Keller Segel models. We emphasize the identification of functional spaces for the drift term, guided by the diffusion nonlinearity and the regularity of the initial data.