幂函数与指数函数相耦合的抛物方程组解的整体存在性研究

Global Existence of Solutions of Parabolic Equations with Power Function and Exponential Function

给出幂函数与指数函数相耦合的抛物方程组,根据比较原理,利用特征函数等建立合理的上下解,证明了幂函数与指数函数相耦合的抛物方程组解的整体存在性.

In order to provide the technical support for the study of the solution of the integral equation and the numerical solution of the parabolic equations with power function and exponential function.Given the parabolic equations of coupled power function and exponential function analysis phase,based on the comparison principle,the method of upper and lower solutions,establish a reasonable upper and lower solutions using the characteristic function,to prove the proposed four theorems are given detailed process.The results show that the solution of the parabolic system with power function and exponential function has global existence.