| Abstract: |
| In this presentation, we discuss recent existence results for porous medium and fast diffusion equations with a divergence-type drift term, which are widely applicable to various reaction-diffusion equations, including Keller-Segel models. Our focus is on identifying suitable functional spaces for the drift, primarily determined by the nonlinear diffusion and the initial data. By adapting techniques from Wasserstein spaces, we construct weak solutions and establish some regularity properties of the solutions. |
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