Special Session 49: 

Nonlocal problems for linear evolution equations

Dave Smith
Yale-NUS College
Singapore
Co-Author(s):    
Abstract:
Linear evolution equations, such as the heat equation, are commonly studied on finite spatial domains via initial-boundary value problems. In place of the boundary conditions, we consider ``multipoint conditions``, where one specifies some linear combination of the solution and its derivative evaluated at internal points of the spatial domain, and ``nonlocal`` specification of the integral over space of the solution against some continuous weight.