Almost global existence for the Neumann problem of quasilinear wave equations outside star-shaped domains in 3D
Texas State University, Department of Mathematics
In this article, we prove the almost global existence of solutions for quasilinear wave equations in the complement of star-shaped domains in three dimensions, with a Neumann boundary condition.
Quasilinear wave equations, Exterior problem, Almost global existence, Neumann boundary condition
Ren, L., & Xin, J. (2017). Almost global existence for the Neumann problem of quasilinear wave equations outside star-shaped domains in 3D. <i>Electronic Journal of Differential Equations, 2017</i>(312), pp. 1-22.