Almost Global Existence for 3-D Quasilinear Wave Equations in Exterior Domains with Neumann Boundary Conditions
Almost Global Existence for 3-D Quasilinear Wave Equations in Exterior Domains with Neumann Boundary Conditions
<p style='text-indent:20px;'>We are concerned with the initial-boundary value problems of 3-D quasilinear wave equations outside compact convex obstacles with Neumann boundary conditions. When the surfaces of 3-D compact convex obstacles are smooth and the quadratic nonlinearities in the quasilinear wave equations do not fulfill the null condition, we establish the …