一类抛物型方程反问题的适定算法设计

A New Well-posed Algorithm for a Kind of Inverse Problem for Parabolic Equation

在已知二阶抛物型方程的解的情况下如何反求其二阶项系数的问题无论是在理论上,还是实际应用上都有重要意义.本文为这类反问题设计了一种新的适定算法,并做了数据实验.数值结果显示数值解与理论解吻合很好.

Determining a coefficient of principle part for second order parabolic equations when the solution is known is of great importance both for the theoretical and for the realistic implication.A new wellposed algorithm is designed for such kind of inverse problem,and the data experience is also conducted.The result manifests that the numerical solution and theoretical solution are well consistent.