4.4 Article

Representation Formulas for Contact Type Hamilton-Jacobi Equations

Journal

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Volume 34, Issue 3, Pages 2315-2327

Publisher

SPRINGER
DOI: 10.1007/s10884-021-09960-w

Keywords

Hamilton-Jacobi equation; Representation formula; Viscosity solutions

Funding

  1. National Natural Science Foundation of China [11871267, 11631006, 11790272]
  2. China Postdoctoral Science Foundation [003056]

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In this paper, various representation formulas for the viscosity solutions of the contact type Hamilton-Jacobi equations are discussed by utilizing Herglotz' variational principle.
We discuss various kinds of representation formulas for the viscosity solutions of the contact type Hamilton-Jacobi equations by using the Herglotz' variational principle.

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