The cardinal goal to the study of theory of Partial Differential Equations (PDEs) is to insure or find out properties of solutions of PDE that are not directly attainable by direct analytical means. Certain function spaces have certain known properties for which solutions of PDEs can be classified. As a result, this work critically looked into some function spaces and their properties. We consider extensively, L p − spaces, distribution theory and sobolev spaces. The emphasis is made on sobolev spaces, which permit a modern approach to the study of differential equations, defined as
Samuel, I (2021). Sobolev Spaces and Linear Elliptic Partial Differential Equations. Afribary. Retrieved from https://afribary.com/works/sobolev-spaces-and-linear-elliptic-partial-differential-equations
Samuel, Iyiola "Sobolev Spaces and Linear Elliptic Partial Differential Equations" Afribary. Afribary, 13 Apr. 2021, https://afribary.com/works/sobolev-spaces-and-linear-elliptic-partial-differential-equations. Accessed 19 Apr. 2024.
Samuel, Iyiola . "Sobolev Spaces and Linear Elliptic Partial Differential Equations". Afribary, Afribary, 13 Apr. 2021. Web. 19 Apr. 2024. < https://afribary.com/works/sobolev-spaces-and-linear-elliptic-partial-differential-equations >.
Samuel, Iyiola . "Sobolev Spaces and Linear Elliptic Partial Differential Equations" Afribary (2021). Accessed April 19, 2024. https://afribary.com/works/sobolev-spaces-and-linear-elliptic-partial-differential-equations