I am now a graduate student in mathematics, and I really want to learn more about PDE. I would say I have a very solid foundation in soft analysis, including functional analysis and harmonic analysis, but I did not receive a good training in hard analysis.
So I do not mind if the book requires a lot functional analysis, but I would like one that provides more intuition and motivation rather than just hard techniques and estimates.
I know Evan's is the best, and I read most materials from the second part when I was doing a project on theory of distributions. But I cannot say I enjoy his style very much.
So can someone introduce a gentler book? Thanks so much!
Best Answer
I really like Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis. It has more of a functional analysis flavor than many other books.