Niu, Xun; Ji, Shuguan; Li, Yong Towards weak KAM theory at relative equilibrium. (English) Zbl 07825944 J. Differ. Equations 392, 325-363 (2024). MSC: 37Jxx 35Fxx 49Lxx PDFBibTeX XMLCite \textit{X. Niu} et al., J. Differ. Equations 392, 325--363 (2024; Zbl 07825944) Full Text: DOI
Zhao, Yuan-an; Cao, Gao-wei; Yang, Xiao-zhou Global solutions and interactions of non-selfsimilar elementary waves for \(n\)-D non-homogeneous Burgers equation. (English) Zbl 1527.35117 Acta Math. Appl. Sin., Engl. Ser. 39, No. 4, 830-853 (2023). MSC: 35C06 35F21 35F25 35D40 35L65 35L67 PDFBibTeX XMLCite \textit{Y.-a. Zhao} et al., Acta Math. Appl. Sin., Engl. Ser. 39, No. 4, 830--853 (2023; Zbl 1527.35117) Full Text: DOI
Bokanowski, Olivier; Prost, Averil; Warin, Xavier Neural networks for first order HJB equations and application to front propagation with obstacle terms. (English) Zbl 1527.35140 SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 45, 36 p. (2023). MSC: 35F21 49L20 68T07 PDFBibTeX XMLCite \textit{O. Bokanowski} et al., SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 45, 36 p. (2023; Zbl 1527.35140) Full Text: DOI arXiv
Giga, Mi-Ho; Giga, Yoshikazu A basic guide to uniqueness problems for evolutionary differential equations. (English) Zbl 07756337 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-34795-5/pbk; 978-3-031-34796-2/ebook). x, 155 p. (2023). MSC: 35-01 35A02 35D40 35F21 35L03 35L65 35Q49 PDFBibTeX XMLCite \textit{M.-H. Giga} and \textit{Y. Giga}, A basic guide to uniqueness problems for evolutionary differential equations. Cham: Birkhäuser (2023; Zbl 07756337) Full Text: DOI
Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto Discontinuous solutions of Hamilton-Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: disappearance of singularities. (English) Zbl 1522.35151 J. Dyn. Differ. Equations 35, No. 1, 455-491 (2023). MSC: 35F21 35L65 35D40 PDFBibTeX XMLCite \textit{M. Bertsch} et al., J. Dyn. Differ. Equations 35, No. 1, 455--491 (2023; Zbl 1522.35151) Full Text: DOI arXiv
Han, Yuxi; Jang, Jiwoong Rate of convergence in periodic homogenization for convex Hamilton-Jacobi equations with multiscales. (English) Zbl 1522.35041 Nonlinearity 36, No. 10, 5279-5297 (2023). MSC: 35B27 35B40 35D40 35F21 41A25 49L25 PDFBibTeX XMLCite \textit{Y. Han} and \textit{J. Jang}, Nonlinearity 36, No. 10, 5279--5297 (2023; Zbl 1522.35041) Full Text: DOI arXiv
Mitake, Hiroyoshi; Sato, Shoichi On the rate of convergence in homogenization of time-fractional Hamilton-Jacobi equations. (English) Zbl 1523.35051 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 68, 27 p. (2023). MSC: 35B40 35B27 35D40 35F21 35F25 49L25 PDFBibTeX XMLCite \textit{H. Mitake} and \textit{S. Sato}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 68, 27 p. (2023; Zbl 1523.35051) Full Text: DOI arXiv
Cartee, Elliot; Farah, Antonio; Nellis, April; Van Hook, Jacob; Vladimirsky, Alexander Quantifying and managing uncertainty in piecewise-deterministic Markov processes. (English) Zbl 1521.60041 SIAM/ASA J. Uncertain. Quantif. 11, 814-847 (2023). MSC: 60J27 49L20 35F21 35F61 60K40 65M06 65C40 PDFBibTeX XMLCite \textit{E. Cartee} et al., SIAM/ASA J. Uncertain. Quantif. 11, 814--847 (2023; Zbl 1521.60041) Full Text: DOI arXiv
Hamamuki, Nao; Hirose, Kazuya A dynamical approach to lower gradient estimates for viscosity solutions of Hamilton-Jacobi equations. (English) Zbl 1519.35063 SIAM J. Math. Anal. 55, No. 4, 3169-3204 (2023). MSC: 35D40 35B45 35F21 35F25 PDFBibTeX XMLCite \textit{N. Hamamuki} and \textit{K. Hirose}, SIAM J. Math. Anal. 55, No. 4, 3169--3204 (2023; Zbl 1519.35063) Full Text: DOI
Colombo, Rinaldo M.; Perrollaz, Vincent; Sylla, Abraham Conservation laws and Hamilton-Jacobi equations with space inhomogeneity. (English) Zbl 1518.35228 J. Evol. Equ. 23, No. 3, Paper No. 50, 72 p. (2023). MSC: 35F21 35F25 PDFBibTeX XMLCite \textit{R. M. Colombo} et al., J. Evol. Equ. 23, No. 3, Paper No. 50, 72 p. (2023; Zbl 1518.35228) Full Text: DOI
Ali, Riasat; Akhtar, Z.; Bamba, Kazuharu; Khan, M. Umar Tunneling and thermodynamics evolution of the magnetised ernst-like black hole. (English) Zbl 1528.83065 Gen. Relativ. Gravitation 55, No. 2, Paper No. 28, 18 p. (2023). MSC: 83C57 82D40 83C45 49L12 80A10 65B05 81U26 81S07 94A17 PDFBibTeX XMLCite \textit{R. Ali} et al., Gen. Relativ. Gravitation 55, No. 2, Paper No. 28, 18 p. (2023; Zbl 1528.83065) Full Text: DOI arXiv
Adimurthi; Ghoshal, Shyam Sundar Exact and optimal controllability for scalar conservation laws with discontinuous flux. (English) Zbl 1517.35233 Commun. Contemp. Math. 25, No. 6, Article ID 2250024, 54 p. (2023). MSC: 35R11 35F21 35L04 35L65 35L67 93B05 PDFBibTeX XMLCite \textit{Adimurthi} and \textit{S. S. Ghoshal}, Commun. Contemp. Math. 25, No. 6, Article ID 2250024, 54 p. (2023; Zbl 1517.35233) Full Text: DOI arXiv
Cao, Gaowei; Chen, Gui-Qiang G. Minimal entropy conditions for scalar conservation laws with general convex fluxes. (English) Zbl 1522.35330 Q. Appl. Math. 81, No. 3, 567-598 (2023). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35A02 35D40 35F21 35F25 35L67 PDFBibTeX XMLCite \textit{G. Cao} and \textit{G.-Q. G. Chen}, Q. Appl. Math. 81, No. 3, 567--598 (2023; Zbl 1522.35330) Full Text: DOI arXiv
Tran, Hung V. Selection problems in large deviations in games under the logit choice protocol. (English) Zbl 1514.35054 Minimax Theory Appl. 8, No. 1, 235-255 (2023). MSC: 35B40 35F21 49L25 35Q91 PDFBibTeX XMLCite \textit{H. V. Tran}, Minimax Theory Appl. 8, No. 1, 235--255 (2023; Zbl 1514.35054) Full Text: arXiv Link
Fujita, Yasuhiro; Siconolfi, Antonio; Yamaguchi, Norikazu Hamilton-Jacobi flows with nowhere differentiable initial data. (English) Zbl 1527.35491 Math. Ann. 385, No. 3-4, 1061-1084 (2023). MSC: 35R30 35F21 35F25 26A27 39B22 PDFBibTeX XMLCite \textit{Y. Fujita} et al., Math. Ann. 385, No. 3--4, 1061--1084 (2023; Zbl 1527.35491) Full Text: DOI
Cheverry, Christophe; Farhat, Shahnaz Paradigm for the creation of scales and phases in nonlinear evolution equations. (English) Zbl 1509.35022 Electron. J. Differ. Equ. 2023, Paper No. 09, 59 p. (2023). MSC: 35B25 35B35 35B40 35C20 35F21 35F25 PDFBibTeX XMLCite \textit{C. Cheverry} and \textit{S. Farhat}, Electron. J. Differ. Equ. 2023, Paper No. 09, 59 p. (2023; Zbl 1509.35022) Full Text: Link
Esteve-Yagüe, Carlos; Zuazua, Enrique Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws. (English) Zbl 1504.35133 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113167, 18 p. (2023). MSC: 35F21 35F25 35L65 49L25 PDFBibTeX XMLCite \textit{C. Esteve-Yagüe} and \textit{E. Zuazua}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113167, 18 p. (2023; Zbl 1504.35133) Full Text: DOI arXiv
Hall, Brian C.; Ho, Ching-Wei; Jalowy, Jonas; Kabluchko, Zakhar Zeros of random polynomials undergoing the heat flow. arXiv:2308.11685 Preprint, arXiv:2308.11685 [math.PR] (2023). MSC: 60B20 35K05 31A05 60B10 30D20 46L54 35F21 35F20 49L25 49L12 BibTeX Cite \textit{B. C. Hall} et al., ``Zeros of random polynomials undergoing the heat flow'', Preprint, arXiv:2308.11685 [math.PR] (2023) Full Text: arXiv OA License
Liu, Qing; Zhou, Xiaodan Hamilton-Jacobi equations in metric spaces. arXiv:2308.08073 Preprint, arXiv:2308.08073 [math.AP] (2023). MSC: 35R15 49L25 35F30 35D40 BibTeX Cite \textit{Q. Liu} and \textit{X. Zhou}, ``Hamilton-Jacobi equations in metric spaces'', Preprint, arXiv:2308.08073 [math.AP] (2023) Full Text: arXiv OA License
Liu, Qing; Shanmugalingam, Nageswari; Zhou, Xiaodan Discontinuous eikonal equations in metric measure spaces. arXiv:2308.06872 Preprint, arXiv:2308.06872 [math.AP] (2023). MSC: 35R15 49L25 35F30 35D40 BibTeX Cite \textit{Q. Liu} et al., ``Discontinuous eikonal equations in metric measure spaces'', Preprint, arXiv:2308.06872 [math.AP] (2023) Full Text: arXiv OA License
El Khatib, N.; Forcadel, N.; Zaydan, M. Homogenization of a microscopic pedestrians model on a convergent junction. (English) Zbl 1514.35020 Math. Model. Nat. Phenom. 17, Paper No. 21, 37 p. (2022). MSC: 35B27 35D40 35F20 45K05 90B20 PDFBibTeX XMLCite \textit{N. El Khatib} et al., Math. Model. Nat. Phenom. 17, Paper No. 21, 37 p. (2022; Zbl 1514.35020) Full Text: DOI
Yu, Yifeng High degeneracy of effective Hamiltonian in two dimensions. (English) Zbl 1510.35032 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 1, 201-223 (2022). MSC: 35B27 35F20 35F21 37J51 37K55 PDFBibTeX XMLCite \textit{Y. Yu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 1, 201--223 (2022; Zbl 1510.35032) Full Text: DOI arXiv
Al Zohbi, Marya; El Hajj, Ahmad; Jazar, Mustapha Convergent semi-explicit scheme to a non-linear eikonal system. (English) Zbl 1502.65053 BIT 62, No. 4, 1841-1872 (2022). MSC: 65M06 65N06 65D05 65M12 35F21 35F50 35D40 35A23 PDFBibTeX XMLCite \textit{M. Al Zohbi} et al., BIT 62, No. 4, 1841--1872 (2022; Zbl 1502.65053) Full Text: DOI
Esteve-Yagüe, Carlos; Zuazua, Enrique Differentiability with respect to the initial condition for Hamilton-Jacobi equations. (English) Zbl 1498.35168 SIAM J. Math. Anal. 54, No. 5, 5388-5423 (2022). MSC: 35F21 35F25 35D40 35B30 35R30 49K20 35Q49 58C20 PDFBibTeX XMLCite \textit{C. Esteve-Yagüe} and \textit{E. Zuazua}, SIAM J. Math. Anal. 54, No. 5, 5388--5423 (2022; Zbl 1498.35168) Full Text: DOI arXiv
Li, Liang; Zhu, Jun A new finite difference mapped unequal-sized WENO scheme for Hamilton-Jacobi equations. (English) Zbl 1524.65364 Comput. Math. Appl. 119, 68-78 (2022). MSC: 65M06 35L65 65M12 35L60 35B05 35F21 35F25 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. Zhu}, Comput. Math. Appl. 119, 68--78 (2022; Zbl 1524.65364) Full Text: DOI
Cooperman, William A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations. (English) Zbl 1496.35039 Arch. Ration. Mech. Anal. 245, No. 2, 809-817 (2022). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35B40 35F21 35F25 PDFBibTeX XMLCite \textit{W. Cooperman}, Arch. Ration. Mech. Anal. 245, No. 2, 809--817 (2022; Zbl 1496.35039) Full Text: DOI arXiv
Han, Yuxi; Tu, Son N. T. Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations. (English) Zbl 1491.35014 Appl. Math. Optim. 86, No. 1, Paper No. 3, 42 p. (2022). MSC: 35B25 35B40 35D40 35F21 49J20 49L25 70H20 PDFBibTeX XMLCite \textit{Y. Han} and \textit{S. N. T. Tu}, Appl. Math. Optim. 86, No. 1, Paper No. 3, 42 p. (2022; Zbl 1491.35014) Full Text: DOI arXiv
Cheng, Wei; Hong, Jiahui Local strict singular characteristics: Cauchy problem with smooth initial data. (English) Zbl 1490.35105 J. Differ. Equations 328, 326-353 (2022). MSC: 35F21 35D40 35F25 49L25 PDFBibTeX XMLCite \textit{W. Cheng} and \textit{J. Hong}, J. Differ. Equations 328, 326--353 (2022; Zbl 1490.35105) Full Text: DOI arXiv
Lebedev, P. D.; Uspenskii, A. A. Analytic-numerical approach to construction of minimax solution to the Hamilton-Jacobi equation in three-dimensional space. (English. Russian original) Zbl 1489.35031 J. Math. Sci., New York 262, No. 3, 291-300 (2022); translation from Probl. Mat. Anal. 115, 55-62 (2022). MSC: 35F21 35F30 35A15 35A35 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskii}, J. Math. Sci., New York 262, No. 3, 291--300 (2022; Zbl 1489.35031); translation from Probl. Mat. Anal. 115, 55--62 (2022) Full Text: DOI
Klibanov, Michael; Nguyen, Loc H.; Tran, Hung V. Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method. (English) Zbl 07517147 J. Comput. Phys. 451, Article ID 110828, 22 p. (2022). MSC: 65Mxx 35Fxx 35Rxx PDFBibTeX XMLCite \textit{M. Klibanov} et al., J. Comput. Phys. 451, Article ID 110828, 22 p. (2022; Zbl 07517147) Full Text: DOI arXiv
Ennaji, Hamza; Igbida, Noureddine; Nguyen, Van Thanh Beckmann-type problem for degenerate Hamilton-Jacobi equations. (English) Zbl 1486.35135 Q. Appl. Math. 80, No. 2, 201-220 (2022). MSC: 35F21 35A15 35D40 35F30 PDFBibTeX XMLCite \textit{H. Ennaji} et al., Q. Appl. Math. 80, No. 2, 201--220 (2022; Zbl 1486.35135) Full Text: DOI HAL
Addario-Berry, Louigi; Beckman, Erin; Lin, Jessica Asymmetric cooperative motion in one dimension. (English) Zbl 1484.60023 Trans. Am. Math. Soc. 375, No. 4, 2883-2913 (2022). MSC: 60F05 60K35 65M12 35F21 35F25 PDFBibTeX XMLCite \textit{L. Addario-Berry} et al., Trans. Am. Math. Soc. 375, No. 4, 2883--2913 (2022; Zbl 1484.60023) Full Text: DOI arXiv
Tu, Son N. T. Vanishing discount problem and the additive eigenvalues on changing domains. (English) Zbl 1484.35065 J. Differ. Equations 317, 32-69 (2022). MSC: 35B40 35D40 35F21 35R45 49J20 49L25 70H20 PDFBibTeX XMLCite \textit{S. N. T. Tu}, J. Differ. Equations 317, 32--69 (2022; Zbl 1484.35065) Full Text: DOI arXiv
Ishii, Hitoshi; Wang, Kaizhi; Wang, Lin; Yan, Jun Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown. (English) Zbl 1484.35154 Commun. Partial Differ. Equations 47, No. 2, 417-452 (2022). MSC: 35F21 35F25 35D40 35B40 35B51 49L25 PDFBibTeX XMLCite \textit{H. Ishii} et al., Commun. Partial Differ. Equations 47, No. 2, 417--452 (2022; Zbl 1484.35154) Full Text: DOI arXiv
Cecchin, Alekos; Delarue, François Selection by vanishing common noise for potential finite state mean field games. (English) Zbl 1490.91018 Commun. Partial Differ. Equations 47, No. 1, 89-168 (2022). MSC: 91A16 35Q89 49N80 35L40 49L25 PDFBibTeX XMLCite \textit{A. Cecchin} and \textit{F. Delarue}, Commun. Partial Differ. Equations 47, No. 1, 89--168 (2022; Zbl 1490.91018) Full Text: DOI arXiv
Ciomaga, Adina; Ghilli, Daria; Topp, Erwin Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion. (English) Zbl 1484.35030 Commun. Partial Differ. Equations 47, No. 1, 1-38 (2022). MSC: 35B27 35F21 35F25 35D40 35J60 35R09 PDFBibTeX XMLCite \textit{A. Ciomaga} et al., Commun. Partial Differ. Equations 47, No. 1, 1--38 (2022; Zbl 1484.35030) Full Text: DOI arXiv
Mannucci, Paola; Marchi, Claudio; Tchou, Nicoletta Non coercive unbounded first order mean field games: the Heisenberg example. (English) Zbl 1489.35284 J. Differ. Equations 309, 809-840 (2022). MSC: 35Q89 35Q91 35Q84 91A16 35F21 35F50 49K20 49L25 35R03 PDFBibTeX XMLCite \textit{P. Mannucci} et al., J. Differ. Equations 309, 809--840 (2022; Zbl 1489.35284) Full Text: DOI arXiv
Achdou, Yves; Mannucci, Paola; Marchi, Claudio; Tchou, Nicoletta First order Mean Field Games on networks. arXiv:2207.10908 Preprint, arXiv:2207.10908 [math.OC] (2022). MSC: 35F50 35Q91 35R02 49K20 49L25 49N80 91A16 BibTeX Cite \textit{Y. Achdou} et al., ``First order Mean Field Games on networks'', Preprint, arXiv:2207.10908 [math.OC] (2022) Full Text: arXiv OA License
Han, Yuxi Global semiconcavity of solutions to first-order Hamilton-Jacobi equations with state constraints. arXiv:2205.01615 Preprint, arXiv:2205.01615 [math.AP] (2022). MSC: 35B65 35D40 35F20 49L25 BibTeX Cite \textit{Y. Han}, ``Global semiconcavity of solutions to first-order Hamilton-Jacobi equations with state constraints'', Preprint, arXiv:2205.01615 [math.AP] (2022) Full Text: arXiv OA License
Cecchin, Alekos; Delarue, François Weak solutions to the master equation of potential mean field games. arXiv:2204.04315 Preprint, arXiv:2204.04315 [math.OC] (2022). MSC: 35L40 35Q89 49L12 49N80 60J60 91A16 BibTeX Cite \textit{A. Cecchin} and \textit{F. Delarue}, ``Weak solutions to the master equation of potential mean field games'', Preprint, arXiv:2204.04315 [math.OC] (2022) Full Text: arXiv OA License
Bertsch, Michiel; Smarrazzo, Flavia; Terracina, Andrea; Tesei, Alberto Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations. (English) Zbl 1490.35104 J. Hyperbolic Differ. Equ. 18, No. 4, 857-898 (2021). MSC: 35D40 35F21 35F25 35F30 PDFBibTeX XMLCite \textit{M. Bertsch} et al., J. Hyperbolic Differ. Equ. 18, No. 4, 857--898 (2021; Zbl 1490.35104) Full Text: DOI arXiv
Guo, Wei; Huang, Juntao; Tao, Zhanjing; Cheng, Yingda An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions. (English) Zbl 07513855 J. Comput. Phys. 436, Article ID 110294, 18 p. (2021). MSC: 65Mxx 35Fxx 35Lxx PDFBibTeX XMLCite \textit{W. Guo} et al., J. Comput. Phys. 436, Article ID 110294, 18 p. (2021; Zbl 07513855) Full Text: DOI arXiv
Uspenskiĭ, Aleksandr Aleksandrovich; Lebedev, Pabel Dmitrievich On the structure of the singular set of solutions in one class of 3D time-optimal control problems. (Russian. English summary) Zbl 1484.35011 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 3, 471-486 (2021). MSC: 35A18 35F21 35F30 14H20 14J17 PDFBibTeX XMLCite \textit{A. A. Uspenskiĭ} and \textit{P. D. Lebedev}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 3, 471--486 (2021; Zbl 1484.35011) Full Text: DOI MNR
Li, Tian-Hong; Wang, Jinghua; Wen, Hairui Regularity and global structure for Hamilton-Jacobi equations with convex Hamiltonian. (English) Zbl 1480.35100 J. Hyperbolic Differ. Equ. 18, No. 2, 435-451 (2021). MSC: 35F21 35B65 35L60 35L67 49L25 PDFBibTeX XMLCite \textit{T.-H. Li} et al., J. Hyperbolic Differ. Equ. 18, No. 2, 435--451 (2021; Zbl 1480.35100) Full Text: DOI
El Hajj, Ahmad; Oussaily, Aya Continuous solution for a non-linear eikonal system. (English) Zbl 1479.35232 Commun. Pure Appl. Anal. 20, No. 11, 3795-3823 (2021). MSC: 35F55 35D40 35F21 35L60 35Q35 74H20 PDFBibTeX XMLCite \textit{A. El Hajj} and \textit{A. Oussaily}, Commun. Pure Appl. Anal. 20, No. 11, 3795--3823 (2021; Zbl 1479.35232) Full Text: DOI
Darbon, Jérôme; Langlois, Gabriel P. On Bayesian posterior mean estimators in imaging sciences and Hamilton-Jacobi partial differential equations. (English) Zbl 1525.94008 J. Math. Imaging Vis. 63, No. 7, 821-854 (2021). MSC: 94A08 94A12 49N45 62F15 35F21 35F25 68U10 PDFBibTeX XMLCite \textit{J. Darbon} and \textit{G. P. Langlois}, J. Math. Imaging Vis. 63, No. 7, 821--854 (2021; Zbl 1525.94008) Full Text: DOI arXiv
Chen, Cui; Wang, Ya-Nan; Yan, Jun Convergence of the viscosity solution of non-autonomous Hamilton-Jacobi equations. (English) Zbl 1482.35074 Sci. China, Math. 64, No. 8, 1789-1800 (2021). MSC: 35F21 35B40 35D40 35F25 35R01 PDFBibTeX XMLCite \textit{C. Chen} et al., Sci. China, Math. 64, No. 8, 1789--1800 (2021; Zbl 1482.35074) Full Text: DOI
Li, Hongwei; Wu, Yuchen Artificial boundary conditions for nonlinear time fractional Burgers’ equation on unbounded domains. (English) Zbl 1524.65363 Appl. Math. Lett. 120, Article ID 107277, 8 p. (2021). MSC: 65M06 35R11 35Q53 65M12 35K05 26A33 35F21 35F25 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Wu}, Appl. Math. Lett. 120, Article ID 107277, 8 p. (2021; Zbl 1524.65363) Full Text: DOI
Kim, Kwangil; Hong, Unhyok; Ri, Kwanhung; Yu, Juhyon Construction of convergent adaptive weighted essentially non-oscillatory schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 07396169 Appl. Math., Praha 66, No. 4, 599-617 (2021). Reviewer: Srinivasan Natesan (Assam) MSC: 35F21 65M12 65M50 PDFBibTeX XMLCite \textit{K. Kim} et al., Appl. Math., Praha 66, No. 4, 599--617 (2021; Zbl 07396169) Full Text: DOI
Boudjerada, Rachida; El Hajj, Ahmad; Oussaily, Aya Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems. (English) Zbl 1501.65028 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 573-591 (2021). MSC: 65M06 65N06 74G22 74C10 74S20 70H20 35A01 35F20 35F21 35Q74 PDFBibTeX XMLCite \textit{R. Boudjerada} et al., ESAIM, Math. Model. Numer. Anal. 55, 573--591 (2021; Zbl 1501.65028) Full Text: DOI
Tu, Son N. T. Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension. (English) Zbl 1472.35373 Asymptotic Anal. 121, No. 2, 171-194 (2021). MSC: 35Q70 35F21 35B05 35B27 35D40 49L25 70H20 PDFBibTeX XMLCite \textit{S. N. T. Tu}, Asymptotic Anal. 121, No. 2, 171--194 (2021; Zbl 1472.35373) Full Text: DOI arXiv
Parkinson, Christian A rotating-grid upwind fast sweeping scheme for a class of Hamilton-Jacobi equations. (English) Zbl 1477.65173 J. Sci. Comput. 88, No. 1, Paper No. 13, 36 p. (2021). MSC: 65N06 35F30 35F21 49L12 PDFBibTeX XMLCite \textit{C. Parkinson}, J. Sci. Comput. 88, No. 1, Paper No. 13, 36 p. (2021; Zbl 1477.65173) Full Text: DOI arXiv
Cakir, Firat; Christlieb, Andrew; Jiang, Yan A high order finite difference weighted essentially nonoscillatory schemes with a kernel-based constrained transport method for ideal magnetohydrodynamics. (English) Zbl 1483.65130 SIAM J. Sci. Comput. 43, No. 3, B598-B622 (2021). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M06 35L40 65M99 76L05 76W05 70H20 PDFBibTeX XMLCite \textit{F. Cakir} et al., SIAM J. Sci. Comput. 43, No. 3, B598--B622 (2021; Zbl 1483.65130) Full Text: DOI
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian \(BV\) solution for a non-linear Hamilton-Jacobi system. (English) Zbl 1465.35112 Discrete Contin. Dyn. Syst. 41, No. 7, 3273-3293 (2021). MSC: 35F21 35D40 35F20 35L45 35Q35 PDFBibTeX XMLCite \textit{A. El Hajj} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3273--3293 (2021; Zbl 1465.35112) Full Text: DOI
Davini, Andrea; Zavidovique, Maxime Convergence of the solutions of discounted Hamilton-Jacobi systems. (English) Zbl 1464.35029 Adv. Calc. Var. 14, No. 2, 193-206 (2021). MSC: 35B40 35F21 35F50 35D40 35R01 49L25 PDFBibTeX XMLCite \textit{A. Davini} and \textit{M. Zavidovique}, Adv. Calc. Var. 14, No. 2, 193--206 (2021; Zbl 1464.35029) Full Text: DOI arXiv
Bardi, Martino; Feleqi, Ermal; Soravia, Pierpaolo Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets. (English) Zbl 1462.35138 Set-Valued Var. Anal. 29, No. 1, 83-108 (2021). MSC: 35F30 35F21 35D40 49L25 93B05 93B27 PDFBibTeX XMLCite \textit{M. Bardi} et al., Set-Valued Var. Anal. 29, No. 1, 83--108 (2021; Zbl 1462.35138) Full Text: DOI arXiv
El Hajj, A.; Oussaily, A. Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. (English) Zbl 1462.35332 J. Nonlinear Sci. 31, No. 1, Paper No. 20, 41 p. (2021). MSC: 35Q53 49L25 35F21 35F25 35L40 35L45 35A01 35A02 74H20 74H25 PDFBibTeX XMLCite \textit{A. El Hajj} and \textit{A. Oussaily}, J. Nonlinear Sci. 31, No. 1, Paper No. 20, 41 p. (2021; Zbl 1462.35332) Full Text: DOI
Ishii, Hitoshi; Kumagai, Taiga Averaging of Hamilton-Jacobi equations along divergence-free vector fields. (English) Zbl 1458.35030 Discrete Contin. Dyn. Syst. 41, No. 4, 1519-1542 (2021). MSC: 35B25 35F21 35F30 35D40 49L25 PDFBibTeX XMLCite \textit{H. Ishii} and \textit{T. Kumagai}, Discrete Contin. Dyn. Syst. 41, No. 4, 1519--1542 (2021; Zbl 1458.35030) Full Text: DOI arXiv
Cieślak, Tomasz; Siemianowski, Jakub; Święch, Andrzej Viscosity solutions to an initial value problem for a Hamilton-Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons. (English) Zbl 1458.35128 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 204, Article ID 112204, 26 p. (2021). MSC: 35F21 35D40 35C08 35F25 PDFBibTeX XMLCite \textit{T. Cieślak} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 204, Article ID 112204, 26 p. (2021; Zbl 1458.35128) Full Text: DOI arXiv
Cardaliaguet, Pierre; Forcadel, Nicolas From heterogeneous microscopic traffic flow models to macroscopic models. (English) Zbl 1461.35100 SIAM J. Math. Anal. 53, No. 1, 309-322 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35D40 90B20 35R60 35F20 35F21 35B27 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{N. Forcadel}, SIAM J. Math. Anal. 53, No. 1, 309--322 (2021; Zbl 1461.35100) Full Text: DOI arXiv
Liu, Qing; Shanmugalingam, Nageswari; Zhou, Xiaodan Equivalence of solutions of eikonal equation in metric spaces. (English) Zbl 1454.35051 J. Differ. Equations 272, 979-1014 (2021). MSC: 35F30 35R15 49L25 35F21 35D40 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Differ. Equations 272, 979--1014 (2021; Zbl 1454.35051) Full Text: DOI arXiv
Grandits, Thomas; Effland, Alexander; Pock, Thomas; Krause, Rolf; Plank, Gernot; Pezzuto, Simone GEASI: Geodesic-based Earliest Activation Sites Identification in cardiac models. arXiv:2102.09962 Preprint, arXiv:2102.09962 [math.OC] (2021). MSC: 92B05 35Q93 65K10 35F21 35F20 BibTeX Cite \textit{T. Grandits} et al., ``GEASI: Geodesic-based Earliest Activation Sites Identification in cardiac models'', Preprint, arXiv:2102.09962 [math.OC] (2021) Full Text: DOI arXiv OA License
Keimer, Alexander; Singh, Manish; Veeravalli, Tanya Existence and uniqueness results for a class of nonlocal conservation laws by means of a Lax-Hopf-type solution formula. (English) Zbl 1478.35145 J. Hyperbolic Differ. Equ. 17, No. 4, 677-705 (2020). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35F21 35F31 35R09 PDFBibTeX XMLCite \textit{A. Keimer} et al., J. Hyperbolic Differ. Equ. 17, No. 4, 677--705 (2020; Zbl 1478.35145) Full Text: DOI
Laurent-Brouty, Nicolas; Keimer, Alexander; Goatin, Paola; Bayen, Alexandre M. A macroscopic traffic flow model with finite buffers on networks: well-posedness by means of Hamilton-Jacobi equations. (English) Zbl 1465.35113 Commun. Math. Sci. 18, No. 6, 1569-1604 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35F21 35L04 35L65 35R02 90B20 PDFBibTeX XMLCite \textit{N. Laurent-Brouty} et al., Commun. Math. Sci. 18, No. 6, 1569--1604 (2020; Zbl 1465.35113) Full Text: DOI
Bardi, Martino; Cesaroni, Annalisa; Topp, Erwin Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms. (English) Zbl 1459.35020 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 6, 3028-3059 (2020). MSC: 35B27 35B51 35F21 35R09 35R11 35F25 35D40 PDFBibTeX XMLCite \textit{M. Bardi} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 6, 3028--3059 (2020; Zbl 1459.35020) Full Text: DOI arXiv
Lebedev, Pavel Dmitrievich; Uspenskiĭ, Aleksandr Aleksandrovich Construction of scattering curves in one class of time-optimal control problems with leaps of a target set boundary curvature. (Russian. English summary) Zbl 1458.35130 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 93-112 (2020). MSC: 35F21 35A18 35F16 35D40 58K70 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskiĭ}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 93--112 (2020; Zbl 1458.35130) Full Text: DOI MNR Link
Darbon, Jérôme; Meng, Tingwei On decomposition models in imaging sciences and multi-time Hamilton-Jacobi partial differential equations. (English) Zbl 1455.35051 SIAM J. Imaging Sci. 13, No. 2, 971-1014 (2020). MSC: 35F21 35F25 70H20 90C25 65K10 PDFBibTeX XMLCite \textit{J. Darbon} and \textit{T. Meng}, SIAM J. Imaging Sci. 13, No. 2, 971--1014 (2020; Zbl 1455.35051) Full Text: DOI arXiv
Esteve, Carlos; Zuazua, Enrique The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. (English) Zbl 1453.35189 SIAM J. Math. Anal. 52, No. 6, 5627-5657 (2020). MSC: 35R30 35F21 35F25 35J70 49L25 PDFBibTeX XMLCite \textit{C. Esteve} and \textit{E. Zuazua}, SIAM J. Math. Anal. 52, No. 6, 5627--5657 (2020; Zbl 1453.35189) Full Text: DOI arXiv
Li, Wenbin; Qian, Jianliang Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization. (English) Zbl 1443.65284 Comput. Math. Appl. 79, No. 4, 1222-1239 (2020). MSC: 65N06 35F21 35F30 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. Qian}, Comput. Math. Appl. 79, No. 4, 1222--1239 (2020; Zbl 1443.65284) Full Text: DOI
Kim, Yeoneung; Tran, Hung V.; Tu, Son N. State-constraint static Hamilton-Jacobi equations in nested domains. (English) Zbl 1448.35103 SIAM J. Math. Anal. 52, No. 5, 4161-4184 (2020). MSC: 35F21 35B40 35D40 49J20 49L25 70H20 PDFBibTeX XMLCite \textit{Y. Kim} et al., SIAM J. Math. Anal. 52, No. 5, 4161--4184 (2020; Zbl 1448.35103) Full Text: DOI arXiv
De Zan, Cecilia; Soravia, Pierpaolo Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity. (English) Zbl 1450.35030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111989, 23 p. (2020). MSC: 35B25 35K15 35K58 35D40 35F21 35F25 49L20 35C07 PDFBibTeX XMLCite \textit{C. De Zan} and \textit{P. Soravia}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111989, 23 p. (2020; Zbl 1450.35030) Full Text: DOI arXiv
Ishii, Hitoshi; Jin, Liang The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. II: Nonlinear coupling. (English) Zbl 1445.35120 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 140, 28 p. (2020). MSC: 35F21 35B40 35F50 49L25 PDFBibTeX XMLCite \textit{H. Ishii} and \textit{L. Jin}, Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 140, 28 p. (2020; Zbl 1445.35120) Full Text: DOI arXiv
Darbon, Jérôme; Langlois, Gabriel P.; Meng, Tingwei Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures. (English) Zbl 1445.35119 Res. Math. Sci. 7, No. 3, Paper No. 20, 50 p. (2020). MSC: 35F21 35F25 92C20 35R30 PDFBibTeX XMLCite \textit{J. Darbon} et al., Res. Math. Sci. 7, No. 3, Paper No. 20, 50 p. (2020; Zbl 1445.35119) Full Text: DOI arXiv
Achdou, Yves; Mannucci, Paola; Marchi, Claudio; Tchou, Nicoletta Deterministic mean field games with control on the acceleration. (English) Zbl 1442.35463 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 33, 32 p. (2020). MSC: 35Q91 91A16 35F50 49K20 49L25 35D30 35D40 PDFBibTeX XMLCite \textit{Y. Achdou} et al., NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 3, Paper No. 33, 32 p. (2020; Zbl 1442.35463) Full Text: DOI arXiv HAL
Mannucci, Paola; Marchi, Claudio; Mariconda, Carlo; Tchou, Nicoletta Non-coercive first order mean field games. (English) Zbl 1434.35245 J. Differ. Equations 269, No. 5, 4503-4543 (2020). MSC: 35Q89 35F50 49K20 49L25 49N80 PDFBibTeX XMLCite \textit{P. Mannucci} et al., J. Differ. Equations 269, No. 5, 4503--4543 (2020; Zbl 1434.35245) Full Text: DOI arXiv
Adimurthi; Singh, Manish; Gowda, G. D. Veerappa Lax-Oleĭnik explicit formula and structure theory for balance laws. (English) Zbl 1445.35242 J. Differ. Equations 268, No. 11, 6517-6575 (2020). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L03 35F21 35L67 35B35 PDFBibTeX XMLCite \textit{Adimurthi} et al., J. Differ. Equations 268, No. 11, 6517--6575 (2020; Zbl 1445.35242) Full Text: DOI
Jin, Liang; Wang, Lin; Yan, Jun A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect. (English) Zbl 1437.35157 J. Differ. Equations 268, No. 5, 2012-2039 (2020). MSC: 35F21 35F25 35C99 35D40 35B65 PDFBibTeX XMLCite \textit{L. Jin} et al., J. Differ. Equations 268, No. 5, 2012--2039 (2020; Zbl 1437.35157) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{P. E. Souganidis}, Lect. Notes Math. 2253, 75--220 (2019; Zbl 1498.60399) Full Text: DOI arXiv
Christlieb, Andrew; Guo, Wei; Jiang, Yan A kernel based high order “explicit” unconditionally stable scheme for time dependent Hamilton-Jacobi equations. (English) Zbl 07581570 J. Comput. Phys. 379, 214-236 (2019). MSC: 65Mxx 35Lxx 35Fxx PDFBibTeX XMLCite \textit{A. Christlieb} et al., J. Comput. Phys. 379, 214--236 (2019; Zbl 07581570) Full Text: DOI arXiv
Cheng, Xiaohan; Feng, Jianhu A sixth-order finite difference WENO scheme for Hamilton-Jacobi equations. (English) Zbl 1499.65378 Int. J. Comput. Math. 96, No. 3, 568-584 (2019). MSC: 65M06 35D40 35F25 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{J. Feng}, Int. J. Comput. Math. 96, No. 3, 568--584 (2019; Zbl 1499.65378) Full Text: DOI
Plaksin, A. R. Minimax solution of functional Hamilton-Jacobi equations for neutral type systems. (English. Russian original) Zbl 1435.35123 Differ. Equ. 55, No. 11, 1475-1484 (2019); translation from Differ. Uravn. 55, No. 11, 1519-1527 (2019). MSC: 35F21 35F25 35R10 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{A. R. Plaksin}, Differ. Equ. 55, No. 11, 1475--1484 (2019; Zbl 1435.35123); translation from Differ. Uravn. 55, No. 11, 1519--1527 (2019) Full Text: DOI
Calvez, Vincent; Gabriel, Pierre; González, Álvaro Mateos Limiting Hamilton-Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation. (English) Zbl 1432.35202 Asymptotic Anal. 115, No. 1-2, 63-94 (2019). MSC: 35Q92 92C37 35F21 82C41 35F25 35D40 35J40 60J65 60J60 60J76 PDFBibTeX XMLCite \textit{V. Calvez} et al., Asymptotic Anal. 115, No. 1--2, 63--94 (2019; Zbl 1432.35202) Full Text: DOI arXiv
Mirebeau, Jean-Marie Riemannian fast-marching on cartesian grids, using Voronoi’s first reduction of quadratic forms. (English) Zbl 1447.65114 SIAM J. Numer. Anal. 57, No. 6, 2608-2655 (2019). MSC: 65N06 65N12 49L20 49L25 35F30 49J20 PDFBibTeX XMLCite \textit{J.-M. Mirebeau}, SIAM J. Numer. Anal. 57, No. 6, 2608--2655 (2019; Zbl 1447.65114) Full Text: DOI
Barron, Emmanuel N. Lax formula for obstacle problems. (English) Zbl 1428.35069 Minimax Theory Appl. 4, No. 2, 341-354 (2019). MSC: 35C05 49L20 49L25 35F25 35D40 PDFBibTeX XMLCite \textit{E. N. Barron}, Minimax Theory Appl. 4, No. 2, 341--354 (2019; Zbl 1428.35069) Full Text: Link
Cannarsa, Piermarco; Cheng, Wei; Mazzola, Marco; Wang, Kaizhi Global generalized characteristics for the Dirichlet problem for Hamilton-Jacobi equations at a supercritical energy level. (English) Zbl 1437.35154 SIAM J. Math. Anal. 51, No. 5, 4213-4244 (2019). MSC: 35F21 35F30 49L25 37K55 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., SIAM J. Math. Anal. 51, No. 5, 4213--4244 (2019; Zbl 1437.35154) Full Text: DOI arXiv
Albano, Paolo Some remarks on the Dirichlet problem for the degenerate eikonal equation. (English) Zbl 1428.35089 Alabau-Boussouira, Fatiha (ed.) et al., Trends in control theory and partial differential equations. Cham: Springer. Springer INdAM Ser. 32, 1-16 (2019). MSC: 35F30 35F21 35D40 35B65 PDFBibTeX XMLCite \textit{P. Albano}, Springer INdAM Ser. 32, 1--16 (2019; Zbl 1428.35089) Full Text: DOI
Forcadel, Nicolas; Zaydan, Mamdouh A comparison principle for Hamilton-Jacobi equation with moving in time boundary. (English) Zbl 1426.35078 Evol. Equ. Control Theory 8, No. 3, 543-565 (2019). MSC: 35F21 35D40 90B20 35B27 35F20 45K05 35B51 PDFBibTeX XMLCite \textit{N. Forcadel} and \textit{M. Zaydan}, Evol. Equ. Control Theory 8, No. 3, 543--565 (2019; Zbl 1426.35078) Full Text: DOI
Kosov, Aleksandr Arkad’evich; Semënov, Èduard Ivanovich; Tirskikh, Vladimir Viktorovich On exact multidimensional solutions of a nonlinear system of first order partial differential equations. (English) Zbl 1423.35068 Izv. Irkutsk. Gos. Univ., Ser. Mat. 28, 53-68 (2019). MSC: 35F20 35F21 35F50 35C05 PDFBibTeX XMLCite \textit{A. A. Kosov} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 28, 53--68 (2019; Zbl 1423.35068) Full Text: DOI Link
Hamamuki, Nao An improvement of level set equations via approximation of a distance function. (English) Zbl 1416.35076 Appl. Anal. 98, No. 10, 1901-1915 (2019). MSC: 35D40 35F21 35F25 PDFBibTeX XMLCite \textit{N. Hamamuki}, Appl. Anal. 98, No. 10, 1901--1915 (2019; Zbl 1416.35076) Full Text: DOI Link
Camilli, Fabio; De Maio, Raul; Iacomini, Elisa A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time-fractional derivative. (English) Zbl 1481.35375 J. Math. Anal. Appl. 477, No. 2, 1019-1032 (2019). MSC: 35R11 35F21 35F25 PDFBibTeX XMLCite \textit{F. Camilli} et al., J. Math. Anal. Appl. 477, No. 2, 1019--1032 (2019; Zbl 1481.35375) Full Text: DOI arXiv Link
Zhao, Kai; Cheng, Wei On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem. (English) Zbl 1461.35103 Discrete Contin. Dyn. Syst. 39, No. 8, 4345-4358 (2019). MSC: 35F21 35D40 35A08 49L25 35F25 PDFBibTeX XMLCite \textit{K. Zhao} and \textit{W. Cheng}, Discrete Contin. Dyn. Syst. 39, No. 8, 4345--4358 (2019; Zbl 1461.35103) Full Text: DOI arXiv
Hoang, Nguyen Regularity properties of viscosity solution of nonconvex Hamilton-Jacobi equations. (English) Zbl 1415.35090 Appl. Anal. 98, No. 6, 1104-1119 (2019). MSC: 35F21 35D40 35F25 35B65 PDFBibTeX XMLCite \textit{N. Hoang}, Appl. Anal. 98, No. 6, 1104--1119 (2019; Zbl 1415.35090) Full Text: DOI
Li, Tian-Hong; Wang, Jinghua; Wen, Hairui Global structure and regularity of solutions to the Eikonal equation. (English) Zbl 1415.35097 Arch. Ration. Mech. Anal. 232, No. 2, 1073-1112 (2019). MSC: 35F25 35A20 35B65 35F21 PDFBibTeX XMLCite \textit{T.-H. Li} et al., Arch. Ration. Mech. Anal. 232, No. 2, 1073--1112 (2019; Zbl 1415.35097) Full Text: DOI arXiv
Wang, Kaizhi; Wang, Lin; Yan, Jun Variational principle for contact Hamiltonian systems and its applications. (English. French summary) Zbl 1409.37064 J. Math. Pures Appl. (9) 123, 167-200 (2019). MSC: 37J55 35F20 49L25 37J45 70G75 PDFBibTeX XMLCite \textit{K. Wang} et al., J. Math. Pures Appl. (9) 123, 167--200 (2019; Zbl 1409.37064) Full Text: DOI arXiv
Wang, Kaizhi The asymptotic bounds of viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations. (English) Zbl 1459.35044 Pac. J. Math. 298, No. 1, 217-232 (2019). MSC: 35B40 35F21 35F25 35D40 37K55 PDFBibTeX XMLCite \textit{K. Wang}, Pac. J. Math. 298, No. 1, 217--232 (2019; Zbl 1459.35044) Full Text: DOI
Xie, Shunxi Asymptotic stability of solutions to the Hamilton-Jacobi equation. (English) Zbl 1404.35100 J. Math. Anal. Appl. 470, No. 2, 1030-1045 (2019). MSC: 35F21 35B40 35F25 PDFBibTeX XMLCite \textit{S. Xie}, J. Math. Anal. Appl. 470, No. 2, 1030--1045 (2019; Zbl 1404.35100) Full Text: DOI
Wang, Junfang; Zhao, Peihao Homogenization of monotone systems of non-coercive Hamilton-Jacobi equations. (English) Zbl 07811732 Indian J. Pure Appl. Math. 49, No. 2, 285-300 (2018). MSC: 35Bxx 35Fxx 49Lxx PDFBibTeX XMLCite \textit{J. Wang} and \textit{P. Zhao}, Indian J. Pure Appl. Math. 49, No. 2, 285--300 (2018; Zbl 07811732) Full Text: DOI
Caginalp, Carey Hierarchies of \(n\)-point functions for nonlinear conservation laws with random initial data. (English) Zbl 1514.35282 Physica A 503, 727-744 (2018). MSC: 35L65 35A30 35F21 35F25 35L45 76L05 PDFBibTeX XMLCite \textit{C. Caginalp}, Physica A 503, 727--744 (2018; Zbl 1514.35282) Full Text: DOI arXiv
Mitake, Hiroyoshi On cell problems for nonlinear PDEs and its application to homogenization. (English) Zbl 1481.35036 Interdiscip. Inf. Sci. 24, No. 1, 49-58 (2018). MSC: 35B27 35B40 35F21 35F25 49L25 PDFBibTeX XMLCite \textit{H. Mitake}, Interdiscip. Inf. Sci. 24, No. 1, 49--58 (2018; Zbl 1481.35036) Full Text: DOI
Caginalp, Carey Minimization solutions to conservation laws with non-smooth and non-strictly convex flux. (English) Zbl 1437.35476 AIMS Math. 3, No. 1, 96-130 (2018). MSC: 35L65 35L67 35F21 35F31 PDFBibTeX XMLCite \textit{C. Caginalp}, AIMS Math. 3, No. 1, 96--130 (2018; Zbl 1437.35476) Full Text: DOI arXiv