SMS scnews item created by Eduardo Altmann at Tue 3 Oct 2017 1506
Type: Seminar
Distribution: World
Expiry: 24 Oct 2017
Calendar1: 11 Oct 2017 1400-1500
CalLoc1: AGR Carslaw 829
CalTitle1: Nonlocal Problems for Linear Evolution Equations
Auth: ega@como.maths.usyd.edu.au

Applied Maths Seminar

Nonlocal Problems for Linear Evolution Equations

Smith

Dr. David A. Smith (Science (Mathematics), Yale-NUS, Singapore)
Title: Nonlocal Problems for Linear Evolution Equations
Abstract: Linear evolution equations, such as the heat and linearized KdV equations, are commonly studied on finite spatial domains via initial-boundary value problems. Typically, the boundary conditions specify information about the solution and its derivatives at the edges of the spatial domain. Alternatively, in place of the boundary conditions, consider "multipoint conditions", where one specifies some linear combination of the solution and its derivatives evaluated at internal points of the spatial domain. A further generalization is the "nonlocal" specification of the integral over space of the solution against some continuous weight. We describe a general framework for studying such problems, and provide solution representations for 2nd and 3rd order examples.

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