MA 351: Semigroup Theory and Evolution Equations
Credits: 3:0
Semigroup Theory: Introduction, Continuous and Contraction Semigroups, Generators, Hille-Yoshida and Lumer-Philips Theorems
Evolution Equations: Semigroup Approach to Heat, Wave and Schrodinger Equations
Suggested books and references:
- A. Pazy, Semigroup of Linear Operators and Applications to Partial Differential Equations, Springer Verlag (1983).
- S. Kesavan, Topics in Functional Analysis and Application, Wiley Eastern (1989).
- A. Friedman, Partial Differential Equations, Holt, Reinhart and Winston (1969).
- H. Brezis, Analyse Fonctionnelle, Theorie et Applications, Mason, Paris (1983).