全非线性泛函抛物型PDE的粘度解

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2005-01-01 DOI:10.1155/IJMMS.2005.3539

Liu Wei-an, Lu Gang

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引用次数: 0

摘要

通过耦合解技术，将粘滞解的概念推广到全非线性时滞抛物型方程。这些方程涉及许多模型，这些模型来自最优控制理论、经济与金融、生物学等领域。给出了比较原理。然后利用不动点理论建立了该方程的存在唯一性。

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Viscosity solutions of fully nonlinear functional parabolic PDE

By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existence and uniqueness are established by the fixed point theory.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.