**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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