Ramos Del Olmo, Ángel ManuelGlowinski, R.Periaux, J.2023-06-202023-06-2020020022-323910.1023/A:1017907930931https://hdl.handle.net/20.500.14352/57805This article is concerned with the numerical solution of multiobjective control problems associated with nonlinear partial differential equations and more precisely the Burgers equation. For this kind of problems, we look for the Nash equilibrium, which is the solution to a noncooperative game. To compute the solution of the problem, we use a combination of finite-difference methods for the time discretization, finite-element methods for the space discretization, and a quasi-Newton BFGS algorithm for the iterative solution of the discrete control problem. Finally, we apply the above methodology to the solution of several tests problems. To be able to compare our results with existing results in the literature, we discuss first a single-objective control problem, already investigated by other authors. Finally, we discuss the multiobjective case.engjournal articlehttp://www.springerlink.com/content/qglexu2n6bc62mxc/fulltext.pdfhttp://www.springerlink.comrestricted access517.95519.8Burgers equationpointwise controlNash equilibriaAdjoint systemDirac measuresquasi-Newton algorithmsSingleobjective control problemsmultiobjective control problems.Análisis matemáticoInvestigación operativa (Matemáticas)1202 Análisis y Análisis Funcional1207 Investigación Operativa