摘要
研究了一类非线性抛物型方程反系数问题,证明了正问题的解对系数的连续依赖性,在合适的容许集中得到了反系数问题拟解的存在性.
This paper is devoted to a class of inverse problems for a nonlinear parabolic differential equation.It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence.Based on this result the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients.
出处
《湖南城市学院学报（自然科学版）》
CAS
2011年第3期38-40,共3页
Journal of Hunan City University:Natural Science
基金
湖南省科学计划科研基金资助项目(2011FJ6029)
关键词
抛物型方程
反系数问题
拟解
存在性
nonlinear parabolic equation
inverse coefficient problem
quasi-solution
existence
