BILINEAR OPTIMAL CONTROL FOR THE FRACTIONAL LAPLACIAN: ANALYSIS AND DISCRETIZATION

We adopt the integral definition of the fractional Laplace operator and study an optimal control problem on Lipschitz domains that involves a fractional elliptic PDE as the state equation and a control variable that enters the state equation as a coefficient; pointwise constraints on the control var...

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Detalles Bibliográficos
Autores principales: Bersetche, Francisco, Fuica, Francisco, Otarola, Enrique, Quero, Daniel
Formato: Artículo (Article)
Idioma:Inglés (English)
Publicado: 2025
Materias:
optimal control
fractional diffusion
integral fractional Laplacian
first- and second- order optimality conditions
regularity estimates
finite elements
convergence
error estimates
Acceso en línea:https://repositorio.uc.cl/handle/11534/90048

Internet

https://repositorio.uc.cl/handle/11534/90048

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