Recently started to study semigroup theory. My background is equivalent to the first three chapters of the Jack Hale's book "Asymptotic behavior of dissipative systems".
Looking for a reference to an article in the topic. It may be a review, but contains interesting results for a beginner, and also with some possible research topics.
Juan Valdez
Best Answer
As mentioned by Timur, one classic reference is Pazy, where you can read of the classic results (till around 1980).
An excellent book is Engel and Nagel, which contains lots of applications and recent results.
If you are interested in particular in parabolic problems, then Lunardi is a standard reference.
As a start, I recommend the short version of Engel and Nagel, which is an excellent reading.