# Nonlocal and Multipoint Boundary Value Problems for Linear Evolution Equations

@article{Pelloni2015NonlocalAM, title={Nonlocal and Multipoint Boundary Value Problems for Linear Evolution Equations}, author={Beatrice Pelloni and David A. Smith}, journal={Studies in Applied Mathematics}, year={2015}, volume={141} }

We derive the solution representation for a large class of nonlocal boundary value problems for linear evolution partial differential equations (PDE) with constant coefficients in one space variable. The prototypical example of such PDE is the heat equation, for which problems of this form model physical phenomena in chemistry and for which we formulate and prove a full result. We also consider the third‐order case, which is much less studied and has been shown by the authors to have very…

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