In this paper, the existence and uniqueness of the local generalized solution of the initial boundary value problem for a nonlinear hyperbolic equation are proved by the contraction mapping principle and the sufficien...In this paper, the existence and uniqueness of the local generalized solution of the initial boundary value problem for a nonlinear hyperbolic equation are proved by the contraction mapping principle and the sufficient conditions of blow_up of the solution in finite time are given.展开更多
Let B^n be the unit ball in C^n, we study quasi-convex mappings and starlike mappings on B^n. The upper bounds of second order item coefficients ofr quasi-convex mappings and starlike mappings are obtained.
文摘In this paper, the existence and uniqueness of the local generalized solution of the initial boundary value problem for a nonlinear hyperbolic equation are proved by the contraction mapping principle and the sufficient conditions of blow_up of the solution in finite time are given.
文摘Let B^n be the unit ball in C^n, we study quasi-convex mappings and starlike mappings on B^n. The upper bounds of second order item coefficients ofr quasi-convex mappings and starlike mappings are obtained.