GLOBAL SOLUTIONS TO THE NONLINEAR HYPERBOLIC PROBLEM
GLOBAL SOLUTIONS TO THE NONLINEAR HYPERBOLIC PROBLEM
We prove the existence and uniqueness of global regular solutions to the mixed problem for the nonlinear hyperbolic equation with nonlinear damping. Utt -a (u) uWhere a (u ) ~ao > 0, p > 1.No restrictions on a size of uo, u¡, f are imposed.It is well-known that quasilinear hyperbolic …