Seminar Analysis and Mathematical Physics: Kwan Woo (Seoul National University)

Regularity Properties of Linear Drift-Diffusion Equations

We investigate linear elliptic and parabolic equations with drifts, commonly referred to as drift-diffusion equations. Specifically, the drift term (the first-order coefficient) is assumed to belong to critical Lebesgue spaces. We discuss the integrability and boundedness properties of solutions to these equations.

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