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arxiv: math/0501363 · v3 · pith:QFOALDFCnew · submitted 2005-01-22 · 🧮 math.AP

Short and long time behavior of the Fokker-Planck equation in a confining potential and applications

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keywords applicationsconfiningequationfokker-plancklongpotentialshorttime
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We consider the linear Fokker-Planck equation in a confining potential in space dimension $d \geq 3$. Using spectral methods, we prove bounds on the derivatives of the solution for short and long time, and give some applications.

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