Ramos Del Olmo, Ángel ManuelBarbu, Viorel2023-06-202023-06-2020031-4020-7439-5https://hdl.handle.net/20.500.14352/60596Incluye colaboración de Luis Alberto Fernández Fernández y Cecilia Pola Méndez.This paper is concerned with the numerical solution of multiobjective control problems associated with linear (resp., nonlinear) partial differential equations. More precisely, for such problems, we look for Nash equilibria, which are solutions to noncooperative games. First, we study the continuous case. Then, to compute the solution of the problem, we combine finite-difference methods for the time discretization, finite-element methods for the space discretization, and conjugate gradient algorithms (resp., a suitable algorithm) for the iterative solution of the discrete control problems. Finally, we apply the above methodology to the solution of several tests problems.engbook parthttp://www.mat.ucm.es/~aramosol/research/publications/2003Ramos.pdfhttp://www.mat.ucm.esopen access517.95Partial diferential equationsHeat equationBurgers equationOptimal controlPointwise controlNash equilibriaAdjoint systemsConjugate gradient methodsmultiobjective optimizationQuasi-Newton algorithms.Análisis matemático1202 Análisis y Análisis Funcional