## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Introduction to sectorial operator and analytic semigroup

#### Abstract :

In the study of parabolic Cauchy problem $u'(t)= Au(t)+f(t), u(0)=x$ on some Banach space $X$, the operator $A$ is assumed to be the generator of analytic semigroup on $X$. More generally $A$ is a sectorial operator whose resolvent set contains some sector in the complex plane. In this talk, we will introduce the sectorial operator, analytic semigroup and how sectorial operator generates an analytic semigroup. Some examples will be given to illustrate these concepts.

Key Speaker MD Mansur Alam, Research Scholar, Department of Mathematics, IITM
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM