Yuanyuan Xie

activity

20192026

most citedThe existence of the solution of the wave equation on graphs

5 citations · 9 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AP2021

Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin, Yuanyuan Xie

Let $G = (V, E)$ be a locally finite connected weighted graph, and $Ω$ be an unbounded subset of $V$ . Using Rothe's method, we study the existence of solutions for the semilinear heat…

math.AP2021★ 4 cited

Application of Rothe's method to a nonlinear wave equation on graphs

Yong Lin, Yuanyuan Xie

We study a nonlinear wave equation on finite connected weighted graphs. Using Rothe's and energy methods, we prove the existence and uniqueness of solution under certain assumption…

math.AP2019★ 5 cited

The existence of the solution of the wave equation on graphs

Yong Lin, Yuanyuan Xie

Let $G = (V, E)$ be a finite weighted graph, and $Ω \subseteq V$ be a domain such that $Ω^{\circ} \neq = \emptyset$ . In this paper, we study the following initial boundary problem for the n…