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math.AP2026
The sharp lifespan of small data smooth solutions to 2-D quadratic quasilinear wave equations in exterior domains
Bingbing Ding, Fei Hou, Huicheng Yin
In the paper [M. Keel, H. Smith, C.D. Sogge, Almost global existence for quasilinear wave equations in three space dimensions. J. Amer. Math. Soc. 17 (2004), no. 1, 109-153], the a…
math.AP2026
Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains with Neumann boundary conditions
Fei Hou, Huicheng Yin, Meng Yuan
For the 3-D quadratic quasilinear wave equations in exterior domains with Dirichlet or Neumann boundary conditions, the global existence or the maximal existence time of small data…