Pelin Güven Geredeli (Hacettepe Üniversitesi)
Nonlinear Evolution Equations: Chapter 2. Semigroup Method |
2.1. Semigroups of Linear Contraction Operators
2.1.1; Semigroups;
2.1.2 The Infinitesimal Generator;
2.2. Hille-Yosida Theorem; 2.3. Regularities of Solutions; 2.4. Nonhomogeneous Equations |
Tarih/Date: 26/12/2009
Saat/Time
10:00-10:50
Müjdat Kaya (Başkent Üniversitesi)
"Differentiability and Lipschitz property of the cost functional related to parabolic inverse problem"
We study the problem of identifying unknown source terms in an inverse parabolic problem, when the overspecified (measured) data is given in the form of Dirichlet bondary condition u(0,t)=h(t). The main goal here is to show that the gradient of the cost functional can be expressed via the solution of the direct and corresponding adjoint problems. We prove Lipschitz continuity of the cost functional and derive the Lipschitz constant in the explicit form via the given data. Based on the obtained results we propose a monotone iteration process. |
Tarih/Date: 26/12/2009
Saat/Time
11:10-12:00
Yer:
ODTÜ Matematik Bölümü, M. Gündüz İkeda
Seminer Salonu
Place: METU Department of Mathematics, M. Gündüz
İkeda Seminar Room