An Extension of Partial Differential Equations to Metric Spaces

Main Article Content

Zohra Farnana

Abstract

          The We present the way of extending the notion partial derivative to metric measure space equipped with a doubling Borel measure supporting the p-Poincare inequality. This extension makes it possible to study the Dirichlet problem, and many other problems, in metric spaces.  We also present some examples where this extension is applied.


 


في هذا البحث نعرض طريقة لتعميم مصطلح المشتقة الجزئية في الفضاء المتري. هذا التعميم يمكننا من دراسة مسألة ديريشليت والعديد من المسائل الأخرى في الفضاءات المترية. كذلك عرضنا بعض الأمثلة التي يكون فيها هذا التعميم ممكن.

Article Details

How to Cite
Farnana, Z. . (2023). An Extension of Partial Differential Equations to Metric Spaces. Faculty of Education Journal, 1(18), 275–284. Retrieved from https://uot.edu.ly/journals/index.php/fej/article/view/863
Section
Articles
Author Biography

Zohra Farnana, University of Tripoli, Tripoli, Libya

Mathematics Department, Faculty of Education-Tripoli, University of Tripoli, Tripoli, Libya