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Liu Changhe, Huan Zhongdan, Tong Mingsheng. Uniqueness of the Viscosity Solutions for the Initial Value Problem of One Type of Second Order Partial Differential Equation[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(1): 6-11.

Citation:

Liu Changhe, Huan Zhongdan, Tong Mingsheng. Uniqueness of the Viscosity Solutions for the Initial Value Problem of One Type of Second Order Partial Differential Equation[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(1): 6-11.

Citation:

Liu Changhe, Huan Zhongdan, Tong Mingsheng. Uniqueness of the Viscosity Solutions for the Initial Value Problem of One Type of Second Order Partial Differential Equation[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(1): 6-11.

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Uniqueness of the Viscosity Solutions for the Initial Value Problem of One Type of Second Order Partial Differential Equation

1.
Center for Research on Materials Science,Beijing Institute of Technology, Beijing 100081
2.
Department of Mathematics, Beijing Normal University, Beijing 100875
3.
Computing Center, Beijing Institute of Technology, Beijing 100081

Abstract

Abstract

Aim To prove the uniqueness of the viscosity solutions for the initial value problems of one type of second order parabolic partial differential equations: Methods Using comparison theorem. Results and Conclusion If u0 is uniform continuousfunction in RN , F is continuous function in RNx(N) and F is degenerate elliptic, then thisequation has the sole viscosity solution.

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