Arnaud, Marie-Claude; Florio, Anna; Roos, Valentine Vanishing asymptotic Maslov index for conformally symplectic flows. (Indice de Maslov asymptotique pour les flots conformément symplectiques.) (English. French summary) Zbl 07914797 Ann. Henri Lebesgue 7, 307-355 (2024). MSC: 53D12 37E40 37J39 37J51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viterbo, Claude Symplectic homogenization. (Homogénéisation symplectique.) (English. French summary) Zbl 1515.37057 J. Éc. Polytech., Math. 10, 67-140 (2023). Reviewer: Sergiy Koshkin (Houston) MSC: 37J39 37J06 37J65 53D35 35F21 49L25 57K43 57R17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katić, Jelena; Milinković, Darko; Nikolić, Jovana A brief survey of the spectral numbers in Floer homology. (English) Zbl 1474.53320 Theor. Appl. Mech. (Belgrade) 47, No. 2, 205-220 (2020). MSC: 53D40 57R58 53D05 × Cite Format Result Cite Review PDF Full Text: DOI
Roos, Valentine Nonexistence of global characteristics for viscosity solutions. (English) Zbl 1442.35067 Anal. PDE 13, No. 4, 1145-1172 (2020). MSC: 35F21 35D40 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Roos, Valentine Variational and viscosity operators for the evolutionary Hamilton-Jacobi equation. (English) Zbl 1417.49035 Commun. Contemp. Math. 21, No. 4, Article ID 1850018, 76 p. (2019). Reviewer: Savin Treanta (Bucharest) MSC: 49L25 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Amorim, Lino; Oh, Yong-Geun; Oliveira dos Santos, Joana Exact Lagrangian submanifolds, Lagrangian spectral invariants and Aubry-Mather theory. (English) Zbl 1404.53100 Math. Proc. Camb. Philos. Soc. 165, No. 3, 411-434 (2018). Reviewer: Luc Vrancken (Valenciennes) MSC: 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abbondandolo, Alberto; Bernardi, Olga; Cardin, Franco Chain recurrence, chain transitivity, Lyapunov functions and rigidity of Lagrangian submanifolds of optical hypersurfaces. (English) Zbl 1394.53083 J. Dyn. Differ. Equations 30, No. 1, 287-308 (2018). Reviewer: Ana Pereira do Vale (Braga) MSC: 53D12 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arnaud, Marie-Claude; Venturelli, Andrea A multidimensional Birkhoff theorem for time-dependent Tonelli Hamiltonians. (English) Zbl 1373.37150 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 122, 27 p. (2017). MSC: 37J50 70H20 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Davini, A.; Zavidovique, M. On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations. (English) Zbl 1308.35062 J. Differ. Equations 258, No. 2, 362-378 (2015). MSC: 35F21 49L25 37J50 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sorrentino, Alfonso On the integrability of Tonelli Hamiltonians. (English) Zbl 1237.37046 Trans. Am. Math. Soc. 363, No. 10, 5071-5089 (2011). Reviewer: Jacobo Pejsachowicz (Torino) MSC: 37J50 37J35 37J15 53D12 53D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arnaud, Marie-Claude On a theorem due to Birkhoff. (English) Zbl 1216.37020 Geom. Funct. Anal. 20, No. 6, 1307-1316 (2010). Reviewer: Jens Rademacher (Amsterdam) MSC: 37J50 53C15 53D12 37J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guiotto, P.; Zanelli, L. The geometry of generating functions for a class of Hamiltonians in the noncompact case. (English) Zbl 1372.53088 J. Geom. Phys. 60, No. 10, 1381-1401 (2010). MSC: 53D35 37J05 53D12 70H20 × Cite Format Result Cite Review PDF Full Text: DOI
Cardin, Franco; Viterbo, Claude Commuting Hamiltonians and Hamilton-Jacobi multi-time equations. (English) Zbl 1153.37029 Duke Math. J. 144, No. 2, 235-284 (2008). Reviewer: Enrico Valdinoci (Rom) MSC: 37J10 57R17 35F20 35F25 49L25 70H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Piernicola, B.; Franco, C. Lagrangian submanifold landscapes of necessary conditions for maxima in optimal control: global parameterizations and generalized solutions. (English) Zbl 1244.49040 J. Math. Sci., New York 135, No. 4, 3125-3144 (2006); translation from Sovrem. Mat. Prilozh. 21, 36-55 (2004). MSC: 49K20 53D12 × Cite Format Result Cite Review PDF Full Text: DOI
Mc Caffrey, David Graph selectors and viscosity solutions on Lagrangian manifolds. (English) Zbl 1114.49030 ESAIM, Control Optim. Calc. Var. 12, 795-815 (2006). MSC: 49L25 53D12 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Mccaffrey, D. Geometric existence theory for the control-affine \(H_{\infty }\) problem. (English) Zbl 1124.93021 J. Math. Anal. Appl. 324, No. 1, 682-695 (2006). MSC: 93B36 93B52 91A23 × Cite Format Result Cite Review PDF Full Text: DOI
McCaffrey, D.; Banks, S. P. Geometric existence theory for the control-affine nonlinear optimal regulator. (English) Zbl 1141.49320 J. Math. Anal. Appl. 305, No. 1, 380-390 (2005). MSC: 49N35 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Capitanio, Gianmarco Generic singularities of minimax solutions to Hamilton-Jacobi equations. (English) Zbl 1080.53075 J. Geom. Phys. 52, No. 4, 458-468 (2004). Reviewer: Jacobo Pejsachowicz (Torino) MSC: 53D05 37J05 70H20 49L20 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhukovskaya, T. Metamorphoses of the Chaperon-Sikorav weak solutions of Hamilton-Jacobi equations. (English) Zbl 0901.58019 J. Math. Sci., New York 82, No. 5, 3737-3746 (1996). Reviewer: William J.Satzer jun.(St.Paul) MSC: 37J99 70H20 × Cite Format Result Cite Review PDF Full Text: DOI