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20232026
most citedA structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport

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math.AP2026

Maximal monotonicity and contraction semigroup for the quantum drift-diffusion (Derrida-Lebowitz-Speer-Spohn) equation

Daniel Matthes, Giuseppe Savaré, André Schlichting

We study the quantum drift-diffusion, or Derrida-Lebowitz-Speer-Spohn (DLSS), equation for a nonnegative density on a bounded convex domain with Neumann boundary conditio…