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arxiv: 1801.05081 · v1 · pith:6YJKRJB4new · submitted 2018-01-16 · 🧮 math.AP

On uniqueness sets of additive eigenvalue problems and applications

classification 🧮 math.AP
keywords additiveeigenvalueequationsfirsthamilton--jacobiorderproblemssets
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In this paper, we provide a simple way to find uniqueness sets for additive eigenvalue problems of first and second order Hamilton--Jacobi equations by using a PDE approach. An application in finding the limiting profiles for large time behaviors of first order Hamilton--Jacobi equations is also obtained.

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