An Introduction to Sobolev Spaces provides a brief introduction to Sobolev spaces at a simple level with illustrated examples. Readers will learn about the properties of these types of vector spaces ...

Function approximation, a central theme in numerical analysis and applied mathematics, seeks to represent complex functions through simpler or more computationally tractable forms. In this context, ...

Function spaces underpin the analysis of partial differential equations and operator theory. Over recent decades, the classical Sobolev spaces have been generalised into broader frameworks, including ...

Elliptic differential equations constitute a fundamental class of partial differential equations that arise in the modelling of steady-state phenomena in physics, engineering, and beyond. Their study ...