Journal of Guangdong University of Technology ›› 2005, Vol. 22 ›› Issue (4): 111-116.

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The Existence and Uniqueness of Solution of a Non-classical Divergence Type Heat Equations

  

  1.  (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2005-10-07 Published:2005-10-07

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Abstract: Considered is the Cauchy-problem of an one-dimensional non-classical divergence type heat equation where the coefficients involve the trace type functional of finite order derivative of u in x.The existence and the uniqueness are obtained.

Key words: divergence type； non-classical divergence type heat equations； inverse problem； existence and uniqueness；

[1] [美]弗里德曼(A·Friedman) 著,夏宗伟 译.抛物型偏微分方程[M]. 科学出版社, 1984

[1] Cannon J R.The One Dimensional Heat Equation. . 1984

[2] Ladyzonskaja O A,Uralceva N N.Linear and Quasi-Linear Equations of Poarabolic Type. . 1968
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