湖南城市学院学报：自然科学版
湖南城市學院學報：自然科學版
호남성시학원학보：자연과학판
Journal of Hunan City University:Natural Science
2011年
3期
38-40
,共3页
抛物型方程%反系数问题%拟解%存在性
拋物型方程%反繫數問題%擬解%存在性
포물형방정%반계수문제%의해%존재성
nonlinear parabolic equation%inverse coefficient problem%quasi-solution%existence
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.
研究瞭一類非線性拋物型方程反繫數問題,證明瞭正問題的解對繫數的連續依賴性,在閤適的容許集中得到瞭反繫數問題擬解的存在性.
연구료일류비선성포물형방정반계수문제,증명료정문제적해대계수적련속의뢰성,재합괄적용허집중득도료반계수문제의해적존재성.
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.
