In this paper we discuss the validity of the Hopf-Lax representation formula for solutions of evolution Hamilton- Jacobi equations governed by state-dependent and perhaps non coercive Hamiltonians. Some applications to PDE's on the Heisenberg group and finite differences approximations are also presented.
In this paper we discuss the validity of the Hopf-Lax representation formula for solutions of evolution Hamilton-Jacobi equations governed by state-dependent and perhaps non coercive Hamiltonians. Some applications to PDE's on the Heisenberg group and finite differences approximations are also presented.
A GENERALIZED HOPF-LAX FORMULA: ANALYTICAL AND APPROXIMATIONS ASPECTS / CAPUZZO DOLCETTA, Italo. - STAMPA. - 76:(2008), pp. 136-150. (Intervento presentato al convegno Conference on Geometric Control and Nonsmooth Analysis tenutosi a Rome, ITALY nel JUN, 2009) [10.1142/9789812776075_0007)].
A GENERALIZED HOPF-LAX FORMULA: ANALYTICAL AND APPROXIMATIONS ASPECTS
CAPUZZO DOLCETTA, Italo
2008
Abstract
In this paper we discuss the validity of the Hopf-Lax representation formula for solutions of evolution Hamilton- Jacobi equations governed by state-dependent and perhaps non coercive Hamiltonians. Some applications to PDE's on the Heisenberg group and finite differences approximations are also presented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
