Almost global existence for the Neumann problem of quasilinear wave equations outside star-shaped domains in 3D. (English) Zbl 1387.35397
Summary: 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.
MSC:
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 74H20 | Existence of solutions of dynamical problems in solid mechanics |
| 74B20 | Nonlinear elasticity |
| 35L72 | Second-order quasilinear hyperbolic equations |
