Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually buiids intuition and culminates in exploring active research. It gives nonspeci…
1. Introduction -- 2. Mathematical preliminaries. 1. Introduction. 2. General definitions and notation. 3. Banach and Hilbert spaces. 4. Distributions and Sobolev spaces. 5. Vector-valued functions. 6. Unbounded operators. 7. Elements of spectral theory -- 3. Semigroup theory. 1…
In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field …