Jun Yan

activity

20122022

most citedHerglotz' variational principle and Lax-Oleinik evolution

4 citations · 9 across the 8 of their papers we have counts for

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5 papers · 1 filter

math.AP2022★ 1 cited

Nonlinear semigroup approach to Hamilton-Jacobi equations -- A toy model

Liang Jin, Jun Yan, Kai Zhao

In this paper, we discuss the existence and multiplicity problem of viscosity solution to the Hamilton-Jacobi equation $h (x, d_{x} u) + λ (x) u = c, x \in M,$ where $M$ is a closed ma…

math.AP2021★ 2 cited

Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown

Hitoshi Ishii, Kaizhi Wang, Lin Wang +1

We study the Hamilton-Jacobi equations $H (x, D u, u) = 0$ in $M$ and $\partial u / \partial t + H (x, D_{x} u, u) = 0$ in $M \times (0, \infty)$ , where the Hamiltonian $H = H (x, p, u)$ depends Lipschitz…

math.AP2021★ 1 cited

Finite-time convergence of solutions of Hamilton-Jacobi equations

Kaizhi Wang, Jun Yan, Kai Zhao

Suppose that $H (x, u, p)$ is strictly decreasing in $u$ and satisfies Tonelli conditions in $p$ . We show that each viscosity solution of $H (x, u, u_{x}) = 0$ can be reached by many viscosi…

math.AP2019★ 4 cited

Herglotz' variational principle and Lax-Oleinik evolution

Piermarco Cannarsa, Wei Cheng, Liang Jin +2

We develop an elementary method to give a Lipschitz estimate for the minimizers in the problem of Herglotz' variational principle proposed in \cite{CCWY2018} in the time-dependent…

math.AP2018

Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations

Piermarco Cannarsa, Wei Cheng, Kaizhi Wang +1

We develop an approach for the analysis of fundamental solutions to Hamilton-Jacobi equations of contact type based on a generalized variational principle proposed by Gustav Herglo…