COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (9): 913-919.

• 论文 • 上一篇

COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E

殷朝阳

Department of Physics, Zhongshan University, Guangzhou 510275, P. R. China

收稿日期:1995-04-07 修回日期:1996-11-07 出版日期:1997-09-18 发布日期:1997-09-18
基金资助:
Project supported by National Post Doctoral Foundation

COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E

Yin Zhaoyang

Department of Physics, Zhongshan University, Guangzhou 510275, P. R. China

Received:1995-04-07 Revised:1996-11-07 Online:1997-09-18 Published:1997-09-18
Supported by:
Project supported by National Post Doctoral Foundation

摘要/Abstract

摘要： In the paper, by using the methods of compensated compactness and energyestimate , the convergence of class of fourth and sixth orders singular perturbed. partialdifferential equations is obtained, and furthermore, the regularity of solutions areimproved.

关键词: compensated compactness, energy estimate, singular perturbation, convergence of solution, regularity of solution

Abstract: In the paper, by using the methods of compensated compactness and energyestimate , the convergence of class of fourth and sixth orders singular perturbed. partialdifferential equations is obtained, and furthermore, the regularity of solutions areimproved.

Key words: compensated compactness, energy estimate, singular perturbation, convergence of solution, regularity of solution

殷朝阳. COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(9): 913-919.

Yin Zhaoyang. COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(9): 913-919.

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COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E

COMPENSATED COMPACTNESS APPLIED TO PERTURBED FOURTH AND SIXTH ORDER P. D. E

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