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

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

更新时间：2026-05-27

- The Existence and Uniqueness of Solution of a Non-classical Divergence Type Heat Equations
- Vol. 22, Issue 4, Pages: 111-116(2005)
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- Online First：07 October 2005，
  
  Published：2005
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卫雪梅. 散度形式的非古典抛物方程解的存在唯一性[J]. 广东工业大学学报, 2005, 22(4): 111-116.

WEI Xue-mei. The Existence and Uniqueness of Solution of a Non-classical Divergence Type Heat Equations[J]. 2005, 22(4): 111-116.
卫雪梅. 散度形式的非古典抛物方程解的存在唯一性[J]. 广东工业大学学报, 2005, 22(4): 111-116. DOI：

WEI Xue-mei. The Existence and Uniqueness of Solution of a Non-classical Divergence Type Heat Equations[J]. 2005, 22(4): 111-116. DOI：

摘要

考虑含有迹类泛函系数的散度形式非古典抛物型偏微分方程Cauchy问题的解的存在性和唯一性

其中方程的系数包含u关于空间变量x的有限阶导数的迹类泛函.

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.

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references

[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

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Wei Xue-mei

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School of Applied Mathematics, Guangdong University of Technology

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