Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (S1): 70-84.

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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.

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

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