عنوان

Semigrup teorisi ve bazı uygulamaları

شماره

TL58145

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

Semigrup teorisi ve bazı uygulamaları

نام عام مواد

[Thesis]

نام نخستين پديدآور

Yazan, Tuğba

نام ساير پديدآوران

Batal, Ahmet

نام ناشر، پخش کننده و غيره

Izmir Institute of Technology (Turkey)

تاریخ نشرو بخش و غیره

2020

متن يادداشت

61 p.

جزئيات پايان نامه و نوع درجه آن

Master's

کسي که مدرک را اعطا کرده

Izmir Institute of Technology (Turkey)

امتياز متن

2020

متن يادداشت

In the present thesis, we consider the evolution equation (Cauchy problem) which is the basis for our study. We show how various linear partial differential equations can be transformed into the Cauchy problem form. Solving the Cauchy problem is equivalent to find a family of evolution operators T(t) which sends the initial state of the system to the solution state at a later time t. It turns out that this family of operators T(t) must satisfy some properties which we call semigroup properties. We state the Hille-Yosida and Lumer-Phillips theorems to characterize contraction semigroups. Moreover, we apply these theorems to the heat and wave equations as examples. We also consider strongly continuous operator groups and Stone's theorem. Finally, we give some essential conditions to obtain wellposed evaluation equation and introduce an inhomogeneous Cauchy problem.

اصطلاح موضوعی

Cauchy problems

اصطلاح موضوعی

Mathematical functions

اصطلاح موضوعی

Mathematics

مستند نام اشخاص تاييد نشده

Yazan, Tuğba

مستند نام اشخاص تاييد نشده

Batal, Ahmet

مستند نام تنالگان تاييد نشده

Izmir Institute of Technology (Turkey)

نام الکترونيکي

فرمت انتشار

p

نوع ماده

[Thesis]

کد کاربرگه

276903

سطح دسترسي

a

تكميل شده

Y