caa a22 4500 445843462 CHVBK 20180317145351.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00526-010-0345-z doi (NATIONALLICENCE)springer-10.1007/s00526-010-0345-z Metric techniques for convex stationary ergodic Hamiltonians [Elektronische Daten] [Andrea Davini, Antonio Siconolfi] We adapt the metric approach to the study of stationary ergodic Hamilton-Jacobi equations, for which a notion of admissible random (sub)solution is defined. For any level of the Hamiltonian greater than or equal to a distinguished critical value, we define an intrinsic random semidistance and prove that an asymptotic norm does exist. Taking as source region a suitable class of closed random sets, we show that the Lax formula provides admissible subsolutions. This enables us to relate the degeneracies of the critical stable norm to the existence/nonexistence of exact or approximate critical admissible solutions. Springer-Verlag, 2010 Davini Andrea Dipartimento di Matematica, Università di Roma "La Sapienza”, P.le Aldo Moro 2, 00185, Roma, Italy aut Siconolfi Antonio Dipartimento di Matematica, Università di Roma "La Sapienza”, P.le Aldo Moro 2, 00185, Roma, Italy aut Calculus of Variations and Partial Differential Equations Springer-Verlag 40/3-4(2011-03-01), 391-421 0944-2669 40:3-4<391 2011 40 526 https://doi.org/10.1007/s00526-010-0345-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0345-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Davini Andrea Dipartimento di Matematica, Università di Roma "La Sapienza”, P.le Aldo Moro 2, 00185, Roma, Italy aut NATIONALLICENCE 700 1- Siconolfi Antonio Dipartimento di Matematica, Università di Roma "La Sapienza”, P.le Aldo Moro 2, 00185, Roma, Italy aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 40/3-4(2011-03-01), 391-421 0944-2669 40:3-4<391 2011 40 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer