TS Trần Vũ Khanh (Đại học Tân Tạo) và TS Bùi Trọng Kiên (Đại học Xây dựng Hà Nội)
Trân trọng kính mời các cán bộ Viện Toán học và các đồng nghiệp tới dự lễ trao Giải thưởng Viện Toán học 2011 cho TS Trần Vũ Khanh, Đại học Tân Tạo và TS Bùi Trọng Kiên, Đại học Xây dựng và nghe báo cáo mời của hai TS.
Địa điểm: P301, Viện Toán học, 18 Hoàng Quốc Việt.
Thời gian: 9:00, thứ sáu, ngày 4/5/2012
A GENERAL ESTIMATE FOR THE D-BAR-NEUMANN PROBLEM
TS Trần Vũ Khanh
Abstract: The d-bar-Neumann problem is one of the most important and natural examples of non-elliptic boundary value problems. It owes its importance to the Cauchy-Riemann problem from which it originates. The main tools to prove regularity of solutions of this problem are various L^2-estimates such as subelliptic, superlogarithmic, compactness estimates,... In this talk, we introduce a general estimate for "gain of regularity" of solutions of this problem and give our recent results about necessary and sufficient conditions for this estimate.
VARIATIONAL INEQUALITY AND ELLIPTIC OPTIMAL CONTROL PROBLEMS
TS Bùi Trọng Kiên
Abstract: In the report we present some recent results on the solution existence and solution stability of variational inequalities, relations between variational inequality and optimization. We also present results on the solution stability of optimal control problems governed by elliptic equations. The content of the report consists of:
- Variational inequality and its relations with optimization
- Solution existence of variational inequalities
- Solution stability of variational inequalities
- Solution stability of optimal control problems governed by elliptic partial differential equations
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