8
$\begingroup$

Some textbooks on functional analysis do not hint that a major raison d'être of the subject is its use in the study of differential and integral equations. The reader could go all the way through without finding that out.

Probably an expository paper could remedy that deficiency.

Imagine an audience of readers who know rather little about functional analysis but whose interest in that subject might be piqued by an exposition of how it is useful in differential and integral equations.

Does such an expository article exist?

Improve this question
$\endgroup$
1

1 Answer 1

Reset to default
6
$\begingroup$

The following source has a number of chapters devoted to applications of functional analysis to differential and integral equations:

  • Paul Sacks "Techniques of functional analysis for differential and integral equations" (Academic Press, 2017). Chapter 13-16 (~65 pages) contain applications. Perhaps that's about the length of a long expository article.

As suggested by Jochen Glueck, a nice (more advanced) followup in the realm of partial differential equations is:

  • Haïm Brézis "Functional analysis, Sobolev spaces and partial differential equations" (Springer 2011) with applications found in Chapters 8-10.

(Turned comment into answer per request)

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .