The main purpose of this chapter is to present a comprehensive semilinear theory that will allow us to study the properties of solutions of the non-densely defined Cauchy problems, such as existence and uniqueness of a maximal semiflow, positivity, Lipschitz perturbation, differentiability with respect to the state variable, time differentiability, classical solutions, stability of equilibria, etc.
|Original language||English (US)|
|Title of host publication||Applied Mathematical Sciences (Switzerland)|
|Number of pages||32|
|State||Published - Jan 1 2018|
|Name||Applied Mathematical Sciences (Switzerland)|
ASJC Scopus subject areas
- Applied Mathematics