Generalized Lax-Hopf formulas for Cournot Maps and Hamilton-Jacobi-McKendrik equations
نویسنده
چکیده
A generalization of Lax-Hopf formula in the case when the Lagrangian depends not only on the velocity, but also on time and velocity has been provided in [15, Chen Luxi]. On the other hand, Cournot maps have been introduced and studied in [6, Aubin & Chen Luxi] for associating with terminal time and state a temporal window on which starts at least one evolution governed by a differential inclusion reaching the terminal state at terminal time. This study provides an adaptation to Cournot maps of the generalized Lax-Hopf formula. Mathematics Subject Classification: 34A60 ,90B10, 90B20, 90B99, 93C10, 93C30,93C99,
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