# Local and Nonlocal Energy-Based Coupling Models

@article{Acosta2021LocalAN, title={Local and Nonlocal Energy-Based Coupling Models}, author={Gabriel Acosta and Francisco M. Bersetche and Julio D. Rossi}, journal={SIAM Journal on Mathematical Analysis}, year={2021} }

In this paper we study two different ways of coupling a local operator with a nonlocal one in such a way that the resulting equation is related to an energy functional. In the first strategy the coupling is given via source terms in the equation and in the second one a flux condition in the local part appears. For both models we prove existence and uniqueness of a solution that is obtained via direct minimization of the related energy functional. In the second part of this paper we extend these…

## One Citation

### Coupling local and nonlocal equations with Neumann boundary conditions

- Mathematics
- 2021

We introduce two different ways of coupling local and nonlocal equations with Neumann boundary conditions in such a way that the resulting model is naturally associated with an energy functional. For…

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