The uniform existence of solutions for two-dimensional and three-dimensional semilinear wave equations with oscillatory data
Huicheng Yin · Proceedings of the American Mathematical Society · 1999
For two-dimensional and three-dimensional semilinear wave equations, I prove the uniform existence of solutions with oscillatory initial data. Hence I solve an ``open question" in one paper of J. L. Joly, G. Metivier and J. Rauch.