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arxiv: 0902.3851 · v1 · submitted 2009-02-23 · 🧮 math.AP

Global existence and uniqueness of solutions to a model of price formation

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keywords existenceglobalmodelpriceuniquenessboundarydescribingdiffusion
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We study a model due to J.M. Lasry and P.L. Lions, describing the evolution of a scalar price which is realized as a free boundary in a 1-D diffusion equation with dynamically evolving, non-standard sources. We establish global existence and uniqueness.

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