New Insights in the Application of Viscosity Solutions for Some Higher-Order Partial Differential Equations

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-04-01 DOI:10.1007/s40995-025-01807-z

S. M. E. Hosseini, S. S. Nezhad

引用次数: 0

Abstract

First, we establish some extended and refined results in the theory of viscosity solutions including a continuous dependence theorem, and a regularity result. Then, by investigating a certain type of partial differential equations, we expand the application of viscosity solutions to a broad range of higher-order partial differential equations. Finally, in the last section, we prove some corollaries that show the applicability of our results.

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一些高阶偏微分方程粘度解应用的新认识

首先，我们建立了黏性解理论的一些推广和改进结果，包括一个连续相关定理和一个正则性结果。然后，通过研究某一类偏微分方程，我们将粘度解的应用扩展到广泛的高阶偏微分方程。最后，在最后一节中，我们证明了一些推论，表明了我们的结果的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences