Artículo
On existence of optimal potentials on unbounded domains
Autor/es | Buttazzo, Giuseppe
Casado Díaz, Juan ![]() ![]() ![]() ![]() ![]() ![]() ![]() Maestre, Faustino |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2019-09-13 |
Fecha de depósito | 2022-11-10 |
Publicado en |
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Resumen | We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero given by a potential V . The main goal is to study the optimization problem for an integral cost depending ... We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero given by a potential V . The main goal is to study the optimization problem for an integral cost depending on the solution uV , when V varies in a suitable class of admissible potentials. These problems can be seen as the natural extension of shape optimization problems to the framework of potentials. The main result is an existence theorem for optimal potentials, and the main difficulty is to work in the whole Euclidean space Rd, which implies a lack of compactness in several crucial points. In the last section we present some numerical simulations. |
Cita | Buttazzo, G., Casado Díaz, J. y Maestre, F. (2019). On existence of optimal potentials on unbounded domains. https://doi.org/10.48550/arXiv.1909.06128. |
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