Zhang, Yuming Paul; Zlatoš, Andrej Quantitative homogenization for combustion in random media. (English) Zbl 07878736 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 4, 853-876 (2024). MSC: 35B27 35K57 35R60 80A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Xin, Jack; Yu, Yifeng; Ronney, Paul Lagrangian, game theoretic, and PDE methods for averaging G-equations in turbulent combustion: existence and beyond. (English) Zbl 07864498 Bull. Am. Math. Soc., New Ser. 61, No. 3, 470-514 (2024). MSC: 35F21 35B27 35B40 80A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davini, Andrea Stochastic homogenization of a class of quasiconvex and possibly degenerate viscous HJ equations in 1D. (English) Zbl 1537.35035 J. Convex Anal. 31, No. 2, 477-496 (2024). MSC: 35B27 35D40 35F21 35F25 60G10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cardaliaguet, P.; Forcadel, N. Microscopic derivation of a traffic flow model with a bifurcation. (English) Zbl 1541.35526 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 6, 68 p. (2024). MSC: 35R02 35B27 35B32 35F21 35D40 76A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pozza, Marco; Siconolfi, Antonio Lax-Oleinik formula on networks. (English) Zbl 1523.35125 SIAM J. Math. Anal. 55, No. 3, 2211-2237 (2023). Reviewer: Massimiliano Daniele Rosini (Ferrara) MSC: 35F21 35R02 35B51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cooperman, William Quantitative stochastic homogenization of the G equation. (English) Zbl 07685818 Probab. Theory Relat. Fields 186, No. 1-2, 493-520 (2023). MSC: 60H15 49L12 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakhtin, Yuri; Li, Liying Strongly mixing smooth planar vector field without asymptotic directions. (English) Zbl 1514.37063 Nonlinearity 36, No. 3, 1789-1798 (2023). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37H10 37A25 37A50 60K37 34F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajej, Ahmed Quantitative stochastic homogenization of an unbounded front propagation problem. (English) Zbl 1501.35035 Math. Models Methods Appl. Sci. 32, No. 9, 1879-1921 (2022). MSC: 35B27 35F21 60K35 × Cite Format Result Cite Review PDF Full Text: DOI
Berestycki, Henri; Nadin, Grégoire Asymptotic spreading for general heterogeneous Fisher-KPP type equations. (English) Zbl 1503.35002 Memoirs of the American Mathematical Society 1381. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5429-6/pbk; 978-1-4704-7281-8/ebook). vi, 100 p. (2022). Reviewer: Guobao Zhang (Lanzhou) MSC: 35-02 35B27 35B40 35B50 35C07 35K57 35P05 47B65 49L25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Fayad, Rim; Forcadel, Nicolas; Ibrahim, Hassan Stochastic homogenization of Hamilton-Jacobi equations on a junction. (English) Zbl 1485.35027 Arch. Ration. Mech. Anal. 243, No. 3, 1223-1267 (2022). MSC: 35B27 35F21 49L25 76A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayraktar, Erhan; Cayé, Thomas; Ekren, Ibrahim Asymptotics for small nonlinear price impact: a PDE approach to the multidimensional case. (English) Zbl 1522.91205 Math. Finance 31, No. 1, 36-108 (2021). MSC: 91G10 35C20 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Yilmaz, Atilla Stochastic homogenization of a class of quasiconvex viscous Hamilton-Jacobi equations in one space dimension. (English) Zbl 1472.35033 J. Differ. Equations 300, 660-691 (2021). MSC: 35B27 35D40 35F21 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van-Brunt, Alexander Stochastic homogenization of deterministic control problems. (English) Zbl 1467.49005 ESAIM, Control Optim. Calc. Var. 27, Paper No. 68, 33 p. (2021). MSC: 49J20 35B27 49L25 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yilmaz, Atilla Stochastic homogenization and effective Hamiltonians of Hamilton-Jacobi equations in one space dimension: the double-well case. (English) Zbl 1466.35019 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 105, 49 p. (2021). MSC: 35B27 35F21 35R60 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seeger, Benjamin Homogenization of a stochastically forced Hamilton-Jacobi equation. (English) Zbl 1465.60062 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 4, 1217-1253 (2021). MSC: 60H15 35B27 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seeger, Benjamin Scaling limits and homogenization of mixing Hamilton-Jacobi equations. (English) Zbl 1460.35023 Commun. Partial Differ. Equations 46, No. 1, 165-199 (2021). MSC: 35B27 35F21 35R60 60H15 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feldman, William M.; Fermanian, Jean-Baptiste; Ziliotto, Bruno An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity. (English) Zbl 1459.35021 J. Differ. Equations 280, 464-476 (2021). MSC: 35B27 35R60 35F21 60K35 35K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakhtin, Yuri; Li, Liying Weakly mixing smooth planar vector field without asymptotic directions. (English) Zbl 1456.37003 Proc. Am. Math. Soc. 148, No. 11, 4733-4744 (2020). Reviewer: Xu Zhang (Weihai) MSC: 37A25 37C10 37A50 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anza Hafsa, Omar; Mandallena, Jean Philippe; Michaille, Gérard Convergence of a class of nonlinear time delays reaction-diffusion equations. (English) Zbl 1452.35017 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 20, 48 p. (2020). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 35B27 35K57 49J45 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Souganidis, Panagiotis E. Pathwise solutions for fully nonlinear first- and second-order partial differential equations with multiplicative rough time dependence. (English) Zbl 1498.60399 Flandoli, Franco (ed.) et al., Singular random dynamics. Cetraro, Italy, August 22–26, 2016. Lecture notes given at the summer school. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2253, 75-220 (2019). MSC: 60L20 60H15 35F20 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Motamed, Mohammad Fuzzy-stochastic partial differential equations. (English) Zbl 1423.35428 SIAM/ASA J. Uncertain. Quantif. 7, 1076-1104 (2019). MSC: 35R13 35R60 35B30 35B65 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mohammed, Mogtaba; Sango, Mamadou Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. (English) Zbl 1436.60065 Netw. Heterog. Media 14, No. 2, 341-369 (2019). MSC: 60H15 80M35 80M40 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Hongwei Stochastic homogenization of certain nonconvex Hamilton-Jacobi equations. (English) Zbl 1428.35028 J. Differ. Equations 267, No. 5, 2918-2949 (2019). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 35F21 35R60 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Požár, Norbert; Vu, Giang Thi Thu Long-time behavior of the one-phase Stefan problem in periodic and random media. (English) Zbl 1516.35048 Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 991-1010 (2018). MSC: 35B27 35B40 35D40 35R35 74A50 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity. (English) Zbl 1409.35025 Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 915-939 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 70H20 49L25 35F21 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Davini, Andrea; Siconolfi, Antonio; Zavidovique, Maxime Random Lax-Oleinik semigroups for Hamilton-Jacobi systems. (English. French summary) Zbl 1415.35088 J. Math. Pures Appl. (9) 120, 294-333 (2018). MSC: 35F21 49L25 37J50 37K55 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Yu; Komorowski, Tomasz; Ryzhik, Lenya Fluctuations of random semilinear advection equations. (English) Zbl 1409.60149 SIAM J. Math. Anal. 50, No. 5, 5293-5336 (2018). MSC: 60K37 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dirr, Nicolas; Dragoni, Federica; Mannucci, Paola; Marchi, Claudio Stochastic homogenization for functionals with anisotropic rescaling and noncoercive Hamilton-Jacobi equations. (English) Zbl 1406.35029 SIAM J. Math. Anal. 50, No. 5, 5198-5242 (2018). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 35R03 49L25 35F21 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qian, Jianliang; Tran, Hung V.; Yu, Yifeng Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians. (English) Zbl 1404.35098 Math. Ann. 372, No. 1-2, 91-123 (2018). MSC: 35F21 35B10 35B20 35B27 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardaliaguet, Pierre; Le Bris, Claude; Souganidis, Panagiotis E. Perturbation problems in homogenization of Hamilton-Jacobi equations. (English. French summary) Zbl 1403.35032 J. Math. Pures Appl. (9) 117, 221-262 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35D40 35F21 37K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seeger, Benjamin Homogenization of pathwise Hamilton-Jacobi equations. (English. French summary) Zbl 1382.35028 J. Math. Pures Appl. (9) 110, 1-31 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35D40 60H15 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feldman, William M.; Souganidis, Panagiotis E. Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. (English. French summary) Zbl 1380.35014 J. Math. Pures Appl. (9) 108, No. 5, 751-782 (2017). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35R60 35F21 60K35 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davini, Andrea; Kosygina, Elena Homogenization of viscous and non-viscous HJ equations: a remark and an application. (English) Zbl 1382.35022 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 95, 21 p. (2017). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 60K37 35D40 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ziliotto, Bruno Stochastic homogenization of nonconvex Hamilton-Jacobi equations: a counterexample. (English) Zbl 1382.35031 Commun. Pure Appl. Math. 70, No. 9, 1798-1809 (2017). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35F21 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardaliaguet, Pierre; Souganidis, Panagiotis E. On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) (English. French summary) Zbl 1368.35025 C. R., Math., Acad. Sci. Paris 355, No. 7, 786-794 (2017). MSC: 35B27 35F21 35D40 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. (English) Zbl 1358.35012 Res. Math. Sci. 4, Paper No. 6, 20 p. (2017). MSC: 35B27 70H20 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajej, A. Stochastic homogenization of a front propagation problem with unbounded velocity. (English) Zbl 1364.35031 J. Differ. Equations 262, No. 7, 3805-3836 (2017). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 35F21 35D40 49L25 93E20 78A48 60K35 × Cite Format Result Cite Review PDF Full Text: DOI
Babuška, Ivo; Motamed, Mohammad A fuzzy-stochastic multiscale model for fiber composites, a one-dimensional study. (English) Zbl 1425.74126 Comput. Methods Appl. Mech. Eng. 302, 109-130 (2016). MSC: 74E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajej, A. Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations. (English) Zbl 1366.65082 Numer. Algorithms 73, No. 3, 839-868 (2016). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 35F21 35B27 49L25 65M08 65M12 65P10 37H10 × Cite Format Result Cite Review PDF Full Text: DOI
Krishnan, Arjun Variational formula for the time constant of first-passage percolation. (English) Zbl 1351.60129 Commun. Pure Appl. Math. 69, No. 10, 1984-2012 (2016). MSC: 60K35 82B43 49J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calder, Jeff A direct verification argument for the Hamilton-Jacobi equation continuum limit of nondominated sorting. (English) Zbl 1347.35080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 88-108 (2016). MSC: 35F21 35D40 60F15 60C05 35B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armstrong, Scott N.; Tran, Hung V.; Yu, Yifeng Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension. (English) Zbl 1342.35026 J. Differ. Equations 261, No. 5, 2702-2737 (2016). MSC: 35B27 35F21 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Hongwei Random homogenization of coercive Hamilton-Jacobi equations in 1d. (English) Zbl 1343.35017 Calc. Var. Partial Differ. Equ. 55, No. 2, Paper No. 30, 39 p. (2016). MSC: 35B27 35F21 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davini, Andrea; Siconolfi, Antonio Existence and regularity of strict critical subsolutions in the stationary ergodic setting. (English) Zbl 1336.35114 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 2, 243-272 (2016). MSC: 35F21 35D40 35B27 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nadin, Gregoire How does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms? (English) Zbl 1334.35128 Discrete Contin. Dyn. Syst., Ser. B 20, No. 6, 1785-1803 (2015). MSC: 35K57 35B40 35P15 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armstrong, Scott N.; Tran, Hung V.; Yu, Yifeng Stochastic homogenization of a nonconvex Hamilton-Jacobi equation. (English) Zbl 1329.35042 Calc. Var. Partial Differ. Equ. 54, No. 2, 1507-1524 (2015). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 35R60 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardaliaguet, Pierre; Souganidis, Panagiotis E. Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. (English) Zbl 1320.35040 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 3, 571-591 (2015). MSC: 35B27 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Požár, Norbert Homogenization of the Hele-Shaw problem in periodic spatiotemporal media. (English) Zbl 1329.35253 Arch. Ration. Mech. Anal. 217, No. 1, 155-230 (2015). MSC: 35Q35 76D27 76M50 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calder, Jeff Directed last passage percolation with discontinuous weights. (English) Zbl 1316.82014 J. Stat. Phys. 158, No. 4, 903-949 (2015). MSC: 82B43 35D40 60F99 65N06 60K35 35F21 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V. Stochastic homogenization of interfaces moving with changing sign velocity. (English) Zbl 1308.35024 J. Differ. Equations 258, No. 4, 1025-1057 (2015). MSC: 35B27 70H20 37A50 49L25 78A48 35R60 35F21 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitake, Hiroyoshi; Tran, Hung V. Homogenization of weakly coupled systems of Hamilton-Jacobi equations with fast switching rates. (English) Zbl 1297.35022 Arch. Ration. Mech. Anal. 211, No. 3, 733-769 (2014). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35F21 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. (English) Zbl 1286.35023 J. Am. Math. Soc. 27, No. 2, 479-540 (2014). MSC: 35B27 35F21 60K35 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardaliaguet, Pierre; Souganidis, Panagiotis E. Homogenization and enhancement of the \(G\)-equation in random environments. (English) Zbl 1284.60126 Commun. Pure Appl. Math. 66, No. 10, 1582-1628 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 60H15 35R60 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matic, Ivan; Nolen, James A sublinear variance bound for solutions of a random Hamilton-Jacobi equation. (English) Zbl 1273.82061 J. Stat. Phys. 149, No. 2, 342-361 (2012). Reviewer: Carlos Escudero (Madrid) MSC: 82C44 35F21 93E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monneau, Régis; Patrizi, Stefania Homogenization of the Peierls-Nabarro model for dislocation dynamics. (English) Zbl 1264.35264 J. Differ. Equations 253, No. 7, 2064-2105 (2012). Reviewer: Alexander A. Kovalevsky (Donetsk) MSC: 35R09 35B27 74N05 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davini, Andrea; Siconolfi, Antonio Weak KAM theory topics in the stationary ergodic setting. (English) Zbl 1271.37041 Calc. Var. Partial Differ. Equ. 44, No. 3-4, 319-350 (2012). Reviewer: Andrea Pascucci (Bologna) MSC: 37J40 35B27 35D40 35F21 49L25 37K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armstrong, Scott N.; Souganidis, Panagiotis E. Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. (English. French summary) Zbl 1246.35029 J. Math. Pures Appl. (9) 97, No. 5, 460-504 (2012). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 60K37 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armstrong, Scott N.; Souganidis, Panagiotis E. Stochastic homogenization of \(L^\infty\) variational problems. (English) Zbl 1243.35014 Adv. Math. 229, No. 6, 3508-3535 (2012). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35F21 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davini, Andrea; Siconolfi, Antonio Metric techniques for convex stationary ergodic Hamiltonians. (English) Zbl 1213.49036 Calc. Var. Partial Differ. Equ. 40, No. 3-4, 391-421 (2011). MSC: 49L25 35D40 35C99 93E20 × Cite Format Result Cite Review PDF Full Text: DOI
Woukeng, Jean Louis Reiterated homogenization of nonlinear pseudo monotone degenerate parabolic operators. (English) Zbl 1197.35036 Commun. Math. Anal. 9, No. 2, 98-129 (2010). MSC: 35B27 35B40 35K65 46J10 47H05 × Cite Format Result Cite Review PDF Full Text: Euclid
Caffarelli, Luis A.; Souganidis, Panagiotis E. Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. (English) Zbl 1192.35048 Invent. Math. 180, No. 2, 301-360 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35J15 35B27 × Cite Format Result Cite Review PDF Full Text: DOI
Davini, Andrea; Siconolfi, Antonio Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case. (English) Zbl 1191.37044 Math. Ann. 345, No. 4, 749-782 (2009). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 37L55 × Cite Format Result Cite Review PDF Full Text: DOI
Nolen, James; Xin, Jack Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. (English) Zbl 1177.35172 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 815-839 (2009). MSC: 35Q35 35B40 76M30 35B45 76M35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. A discussion about the homogenization of moving interfaces. (English) Zbl 1180.35070 J. Math. Pures Appl. (9) 91, No. 4, 339-363 (2009). Reviewer: Vasile Iftode (Bucureşti) MSC: 35B27 35F21 × Cite Format Result Cite Review PDF Full Text: DOI
Imbert, Cyril; Monneau, Régis Homogenization of first-order equations with \((u/\varepsilon)\)-periodic Hamiltonians. I: Local equations. (English) Zbl 1127.70009 Arch. Ration. Mech. Anal. 187, No. 1, 49-89 (2008). MSC: 70H20 35B27 × Cite Format Result Cite Review PDF Full Text: DOI
Alvarez, Olivier; Bardi, Martino; Marchi, Claudio Multiscale problems and homogenization for second-order Hamilton-Jacobi equations. (English) Zbl 1133.35005 J. Differ. Equations 243, No. 2, 349-387 (2007). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35B27 49L25 35K65 × Cite Format Result Cite Review PDF Full Text: DOI
Barles, Guy Some homogenization results for non-coercive Hamilton-Jacobi equations. (English) Zbl 1136.35004 Calc. Var. Partial Differ. Equ. 30, No. 4, 449-466 (2007). Reviewer: Fabio Paronetto (Lecce) MSC: 35B27 35F20 35F25 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lions, Pierre-Louis; Souganidis, Panagiotis E. Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. (English) Zbl 1135.35092 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 5, 667-677 (2005). Reviewer: Marco Biroli (Milano) MSC: 35R15 35B50 35J15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML