Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (3): 326-332.

• Articles • Previous Articles     Next Articles

EXISTENCE, BOUNDEDNESS AND UNIQUENESS OF WEAK SOLUTION FOR THE THERMISTOR PROBLEM WITH MIXED BOUNDARV CONDITIONS

Guan Ping   

  1. Southeast University, Nanjing 210096, China
  • Received:1996-07-29 Revised:1997-07-06 Online:1998-09-25 Published:1998-09-25
  • Supported by:
    The project supported by NNSF of China and NSF of Jiangsu Province

Abstract: The thermistor problem is a coupled system of nonlinear PDEs with mixed boundary conditions. The goal of this paper is to study the existence, boundedness and uniqueness of the weak solution for this problem.

Key words: nonlinear partial differential equations, existence, boundedness, uniqueness

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