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Nonlocal problems for linear evolution equations

PDE and Applied Math Seminar

Speaker: Smith David Andrew, Yale-NUS College, Singapore
Start time: Fri, May 17 2019, 4:10PM

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. There are physical models, including diffusion with practically measurable data, in which such problems are more realistic.