Department of Mathematics

Lecturer	Salah ZITOUNI
Information	Master - Applied Mathematics Department of Mathematics Website : https://www.univ-soukahras.dz/en/module/949 Semester : S3 Unit : UEF3 Credit : 9 Coefficient: 4
Content	Chapter 01. Introduction to semigroups : Strongly continuous semi-groups, uniformly continuous semi-groups, contraction semi-groups and Hille-Yosida theorem, differentiable and analytical semi-groups. Chapter 02. Evolutionary problems : Initial value linear evolution problems. Chapter 03. Abstract Cauchy problem : Problem with homogeneous initial value, problem with non-homogeneous initial value, weak solutions, regularity, asymptotic behavior of solutions. Chapter 04. Applications to partial differential equations : Parabolic equations, wave equations, Schrödinger equations.
Evaluation	- Final exam = 67% - Continuous work (33%) = Micro interrogation (12 points) + Participation (05 points) + Discipline (03 points).