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math.AP2025

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II

Fei Hou, Huicheng Yin

In the paper [S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent. Math. 145 (2001), no. 3, 597-618], S. Alinhac established the global…

math.AP2025

Global existence for 2-D wave maps equation in exterior domains

Fei Hou, Huicheng Yin, Meng Yuan

In the paper [H. Kubo, Global existence for exterior problems of semilinear wave equations with the null condition in 2D, Evol. Equ. Control Theory 2 (2013), no. 2, 319-335], for t…

math.AP2024

Global existence and scattering of small data smooth solutions to quasilinear wave systems on , II

Fei Hou, Fei Tao, Huicheng Yin

In our previous paper [Fei Hou, Fei Tao, Huicheng Yin, Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on $\mathbb{R}^2\times\…

math.AP2024

Global smooth solutions of 2-D quadratic quasilinear wave equations with null conditions in exterior domains

Fei Hou, Huicheng Yin, Meng Yuan

For 3-D quadratic quasilinear wave equations with or without null conditions in exterior domains, when the compatible initial data and Dirichlet boundary values are given, the glob…

math.AP2024

Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on

Fei Hou, Fei Tao, Huicheng Yin

In this paper, we are concerned with the global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on the product space $\mathbb{R}^2\ti…