An improved stability result for a heat equation backward in time with nonlinear source

Mathematical Communications

Tuan, Nguyen Huy¹  Quan, Pham Hoang² 

[1] Department of Applied Mathematics, Faculty of Science and Technology, Hoa Sen University, Quang Trung Software Park, Hochiminh city, VietNam;Department of Mathematics and Applications, Sai Gon University, Ho Chi Minh city, VietNam

关键词: Nonlinear heat problem;    ill-posed problem;    Fourier transform;    contraction principle;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Weconsideranonlinearbackwardheatconductionprobleminastrip.Theproblemisill-posedinthesensethatthesolution(ifitexists)doesnotdependcontinuouslyonthedata.Weshalluseamodifiedintegralequationmethodto...

【 授权许可】

Unknown