The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics

数学季刊 ›› 1993, Vol. 8 ›› Issue (4): 15-22.

The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics

Dept. of Math. Xiamen Univ. Xiamen 361005

收稿日期:1991-01-08 出版日期:1993-12-30 发布日期:2025-05-19

The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics

Dept. of Math. Xiamen Univ. Xiamen 361005

Received:1991-01-08 Online:1993-12-30 Published:2025-05-19

摘要/Abstract

摘要： In this paper,we will discuss smoothness of weak solutions for the system of second orderdifferential equations eith non-negative characteristies.First of all,we establish boundary,and interiorestimates and then we prove that solutions of regularization problem satisfy Lipschitz condition.

关键词: diff., cqua., with non-negative characteristics, regularization, weak solution, boundary and intcrior estimate

Abstract: In this paper,we will discuss smoothness of weak solutions for the system of second orderdifferential equations eith non-negative characteristies.First of all,we establish boundary,and interiorestimates and then we prove that solutions of regularization problem satisfy Lipschitz condition.

Key words: diff., cqua., with non-negative characteristics, regularization, weak solution, boundary and intcrior estimate

张克农. The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics[J]. 数学季刊, 1993, 8(4): 15-22.

Zhang Kenong. The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(4): 15-22.

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The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics

The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics

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