Inverse Problems Based on Partial Differential Equations with Applications

Date: August 11
Time: 16:00--18:30
Room: 4-3

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Liu, Jijun (Southeast Univ.)
CHENG, JIN (Fudan Univ.)
Wang, Haibing (Southeast Univ.)

Abstract: Inverse problems have found wide applications in industry and many modern technique areas such as material sciences, nondestructive test and imaging process, with the essential difficulties of ill-posedness. There are different ways to the modeling of inverse problems, among which the inverse problems based on partial differential equations occupy an important position. In this minisymposium, we will organize several talks covering inverse scattering, inverse boundary value problems, inverse source problems, abnormal diffusion process and imaging process. These problems are described by elliptic and parabolic equations. The related mathematical theory and inversion algorithms will be discussed, dealing with the ill-posedness and nonlinearity of the corresponding problems. The speakers come from Austria, China, Germany, Japan, Korea, Vietnam.

Determining the initial condition or the right hand side in parabolic equations from interior observations.
Dinh-Nho, Hao (Hanoi Inst. of Mathematics, Vietnam Acad. of Sci. & Tech.)
Oanh, Nguyen-Thi-Ngoc (Thai Nguyen Univ.)

Inverse source problems and its numerical computation
Lu, Shuai (School of Mathematical Sci., Fudan Univ.)
CHENG, JIN (Fudan Univ.)

Spectral theory and inverse problems for Schroedinger operators on perturbed periodic lattices
Isozaki, Hiroshi (Univ. of Tsukuba)

The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates
Sini, Mourad (RICAM)

Multiple parameters determination in textile material design
Xu, Dinghua (Zhejiang Sci-Tech Univ.)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA