数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (S1): 70-84.

• 论文 • 上一篇    下一篇

DETERMINATION OF AN UNKNOWN NONHOMOGENEOUS TERM p(t)IN A STEFAN PROBLEM

刘西垣   

  1. Department of Mathematics, Peking University, Beijing 100871, China
  • 收稿日期:1993-05-22 修回日期:1994-10-10 出版日期:1996-12-31 发布日期:1996-12-31
  • 基金资助:
    Supported in part by National Natural Science Foundation of China.

DETERMINATION OF AN UNKNOWN NONHOMOGENEOUS TERM p(t)IN A STEFAN PROBLEM

Liu Xiyuan   

  1. Department of Mathematics, Peking University, Beijing 100871, China
  • Received:1993-05-22 Revised:1994-10-10 Online:1996-12-31 Published:1996-12-31
  • Supported by:
    Supported in part by National Natural Science Foundation of China.

摘要: A one-phase Stefan problem for the nonhomogeneous heat equation with the source term depending on an unknown parameter p(t) is considered. The existence and uniqueness of the solution (p, s, u) are also demonstrated.

关键词: unknown parameter, Stefan problem, inverse problem

Abstract: A one-phase Stefan problem for the nonhomogeneous heat equation with the source term depending on an unknown parameter p(t) is considered. The existence and uniqueness of the solution (p, s, u) are also demonstrated.

Key words: unknown parameter, Stefan problem, inverse problem