Time: 9h30, Tuesday, September 15, 2015

Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: The report concerns the Cauchy problem for first-order linear symmetric systems. This  problem may be considered as one for ordinary differential equations in Banach spaces, which can be solved by tools of the theory of semigroups. Basing on apriori estimates for solutions of the Cauchy problem in spaces L^2 and W^1_2, the report describes sufficient conditions for existence and uniquness of solutions of the Cauchy problem in these spaces.