Knees, Dorothee; Zanini, Chiara Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. (English) Zbl 07314552 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 121-149 (2021). MSC: 35R05 49J40 74C05 35Q74 35D40 49J45 PDF BibTeX XML Cite \textit{D. Knees} and \textit{C. Zanini}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 121--149 (2021; Zbl 07314552) Full Text: DOI
Bressan, Alberto; Guerra, Graziano; Shen, Wen Conservation laws with regulated fluxes. (English) Zbl 07315477 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS) (ISBN 978-1-60133-023-9). AIMS Series on Applied Mathematics 10, 328-335 (2020). MSC: 35L65 35R05 35F21 PDF BibTeX XML Cite \textit{A. Bressan} et al., AIMS Ser. Appl. Math. 10, 328--335 (2020; Zbl 07315477)
Bernis, Julien; Bettiol, Piernicola Solutions to the Hamilton-Jacobi equation for Bolza problems with discontinuous time dependent data. (English) Zbl 1448.49018 ESAIM, Control Optim. Calc. Var. 26, Paper No. 66, 35 p. (2020). MSC: 49J45 35F21 49J21 49L25 PDF BibTeX XML Cite \textit{J. Bernis} and \textit{P. Bettiol}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 66, 35 p. (2020; Zbl 1448.49018) Full Text: DOI
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 PDF BibTeX XML Cite \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
Kolpakova, E. A. Approximation of a multivalued solution of the Hamilton-Jacobi equation. (English. Russian original) Zbl 1448.35104 Math. Notes 108, No. 1, 77-86 (2020); translation from Mat. Zametki 108, No. 1, 81-93 (2020). MSC: 35F21 35D40 49J35 49L25 PDF BibTeX XML Cite \textit{E. A. Kolpakova}, Math. Notes 108, No. 1, 77--86 (2020; Zbl 1448.35104); translation from Mat. Zametki 108, No. 1, 81--93 (2020) Full Text: DOI
Liu, Qing The vanishing exponent limit for motion by a power of mean curvature. (English) Zbl 1442.35200 Interfaces Free Bound. 22, No. 1, 51-84 (2020). MSC: 35K55 35B40 35D40 35K10 35K93 53E10 PDF BibTeX XML Cite \textit{Q. Liu}, Interfaces Free Bound. 22, No. 1, 51--84 (2020; Zbl 1442.35200) Full Text: DOI
Bagagiolo, Fabio; Maggistro, Rosario Hybrid thermostatic approximations of junctions for some optimal control problems on networks. (English) Zbl 07100188 SIAM J. Control Optim. 57, No. 4, 2415-2442 (2019). MSC: 49K15 35R02 47J40 49L25 35F21 PDF BibTeX XML Cite \textit{F. Bagagiolo} and \textit{R. Maggistro}, SIAM J. Control Optim. 57, No. 4, 2415--2442 (2019; Zbl 07100188) Full Text: DOI arXiv
Glaubitz, J.; Nogueira, A. C. jun.; Almeida, J. L. S.; Cantão, R. F.; Silva, C. A. C. Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods. (English) Zbl 07074525 J. Sci. Comput. 79, No. 1, 249-272 (2019). MSC: 35L65 65N30 65N35 35L67 35D40 PDF BibTeX XML Cite \textit{J. Glaubitz} et al., J. Sci. Comput. 79, No. 1, 249--272 (2019; Zbl 07074525) Full Text: DOI
Ke, Guoyi; Guo, Wei An alternative formulation of discontinous Galerkin schemes for solving Hamilton-Jacobi equations. (English) Zbl 1417.65173 J. Sci. Comput. 78, No. 2, 1023-1044 (2019). MSC: 65M60 65M06 35D40 35F21 35L65 PDF BibTeX XML Cite \textit{G. Ke} and \textit{W. Guo}, J. Sci. Comput. 78, No. 2, 1023--1044 (2019; Zbl 1417.65173) Full Text: DOI
Bian, Baojun; Chen, Xinfu; Xu, Zuo Quan Utility maximization under trading constraints with discontinuous utility. (English) Zbl 1411.91482 SIAM J. Financ. Math. 10, No. 1, 243-260 (2019). MSC: 91G10 91B16 49L25 93E20 PDF BibTeX XML Cite \textit{B. Bian} et al., SIAM J. Financ. Math. 10, No. 1, 243--260 (2019; Zbl 1411.91482) Full Text: DOI
Belak, Christoph; Christensen, Sören Utility maximisation in a factor model with constant and proportional transaction costs. (English) Zbl 1426.91239 Finance Stoch. 23, No. 1, 29-96 (2019). Reviewer: Gianluca Cassese (Milano) MSC: 91G10 93E20 91B16 49L25 PDF BibTeX XML Cite \textit{C. Belak} and \textit{S. Christensen}, Finance Stoch. 23, No. 1, 29--96 (2019; Zbl 1426.91239) Full Text: DOI
Achdou, Yves; Tchou, Nicoletta Homogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions. (English. French summary) Zbl 1406.35447 J. Math. Pures Appl. (9) 122, 164-197 (2019). MSC: 35Q93 35F21 35B27 49L25 35B40 93C20 PDF BibTeX XML Cite \textit{Y. Achdou} and \textit{N. Tchou}, J. Math. Pures Appl. (9) 122, 164--197 (2019; Zbl 1406.35447) Full Text: DOI
Assellaou, Mohamed; Picarelli, Athena A Hamilton-Jacobi-Bellman approach for the numerical computation of probabilistic state constrained reachable sets. (English) Zbl 1412.60114 Falcone, Maurizio (ed.) et al., Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19–23, 2017. Cham: Springer. Springer INdAM Ser. 29, 1-22 (2018). MSC: 60J60 60H10 93E03 49L25 93B03 PDF BibTeX XML Cite \textit{M. Assellaou} and \textit{A. Picarelli}, Springer INdAM Ser. 29, 1--22 (2018; Zbl 1412.60114) Full Text: DOI
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C. Flux-limited and classical viscosity solutions for regional control problems. (English) Zbl 1414.49032 ESAIM, Control Optim. Calc. Var. 24, No. 4, 1881-1906 (2018). MSC: 49L20 49L25 35F21 PDF BibTeX XML Cite \textit{G. Barles} et al., ESAIM, Control Optim. Calc. Var. 24, No. 4, 1881--1906 (2018; Zbl 1414.49032) Full Text: DOI
Barles, Guy; Chasseigne, Emmanuel Corrigendum to: “(Almost) everything you always wanted to know about deterministic control problems in stratified domains”. (English) Zbl 1406.49026 Netw. Heterog. Media 13, No. 2, 373-378 (2018). MSC: 49L25 49L20 35F21 35D40 PDF BibTeX XML Cite \textit{G. Barles} and \textit{E. Chasseigne}, Netw. Heterog. Media 13, No. 2, 373--378 (2018; Zbl 1406.49026) Full Text: DOI
Feng, Xiaobing; Lewis, Thomas Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. (English) Zbl 1406.65110 J. Sci. Comput. 77, No. 3, 1534-1565 (2018). MSC: 65N30 65M60 35J60 35K55 65H10 35D40 PDF BibTeX XML Cite \textit{X. Feng} and \textit{T. Lewis}, J. Sci. Comput. 77, No. 3, 1534--1565 (2018; Zbl 1406.65110) Full Text: DOI arXiv
Krylov, N. V. Sobolev and viscosity solutions for fully nonlinear elliptic and parabolic equations. (English) Zbl 1401.35001 Mathematical Surveys and Monographs 233. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4740-3/hbk; 978-1-4704-4853-0/ebook). xiv, 441 p. (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35-02 35J60 35K55 35D40 PDF BibTeX XML Cite \textit{N. V. Krylov}, Sobolev and viscosity solutions for fully nonlinear elliptic and parabolic equations. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1401.35001) Full Text: DOI
Guerra, Graziano; Shen, Wen Vanishing viscosity solutions of Riemann problems for models of polymer flooding. (English) Zbl 1402.35169 Gesztesy, Fritz (ed.) et al., Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference ‘Non-linear PDEs, mathematical physics and stochastic analysis’, NTNU, Trondheim, Norway, July 4–7, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-186-6/hbk; 978-3-03719-686-1/ebook). EMS Series of Congress Reports, 261-285 (2018). MSC: 35L65 35D40 35L45 35L67 PDF BibTeX XML Cite \textit{G. Guerra} and \textit{W. Shen}, in: Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference `Non-linear PDEs, mathematical physics and stochastic analysis', NTNU, Trondheim, Norway, July 4--7, 2016. Zürich: European Mathematical Society (EMS). 261--285 (2018; Zbl 1402.35169) Full Text: DOI
Scilla, Giovanni; Solombrino, Francesco Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach. (English) Zbl 1414.34046 Nonlinearity 31, No. 11, 5036-5074 (2018). Reviewer: Jörg Härterich (Bochum) MSC: 34E15 47J35 58E50 PDF BibTeX XML Cite \textit{G. Scilla} and \textit{F. Solombrino}, Nonlinearity 31, No. 11, 5036--5074 (2018; Zbl 1414.34046) Full Text: DOI
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian Global \(BV\) solution for a non-local coupled system modeling the dynamics of dislocation densities. (English) Zbl 1378.35265 J. Differ. Equations 264, No. 3, 1750-1785 (2018). MSC: 35Q53 49L25 35F25 35L40 35L45 65M06 65M12 65M15 74H20 74H25 35F21 35Q74 74B20 PDF BibTeX XML Cite \textit{A. El Hajj} et al., J. Differ. Equations 264, No. 3, 1750--1785 (2018; Zbl 1378.35265) Full Text: DOI
Lions, Pierre-Louis; Souganidis, Panagiotis E. Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. (English) Zbl 1380.35055 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 4, 807-816 (2017). MSC: 35F21 49L25 35B51 49L20 35D40 PDF BibTeX XML Cite \textit{P.-L. Lions} and \textit{P. E. Souganidis}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 4, 807--816 (2017; Zbl 1380.35055) Full Text: DOI
Shen, Wen On the uniqueness of vanishing viscosity solutions for Riemann problems for polymer flooding. (English) Zbl 1379.35003 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 37, 25 p. (2017). MSC: 35A02 35L65 35L80 35L60 35D40 PDF BibTeX XML Cite \textit{W. Shen}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 37, 25 p. (2017; Zbl 1379.35003) Full Text: DOI
Guerand, Jessica Effective nonlinear Neumann boundary conditions for 1D nonconvex Hamilton-Jacobi equations. (English) Zbl 1368.49035 J. Differ. Equations 263, No. 5, 2812-2850 (2017). MSC: 49L25 35B51 35F30 35F21 PDF BibTeX XML Cite \textit{J. Guerand}, J. Differ. Equations 263, No. 5, 2812--2850 (2017; Zbl 1368.49035) Full Text: DOI
Imbert, Cyril; Monneau, Régis Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks. (Solutions à flux limité pour les équations de Hamilton-Jacobi quasi-convexes posées sur des réseaux.) (English. French summary) Zbl 1382.35075 Ann. Sci. Éc. Norm. Supér. (4) 50, No. 2, 357-448 (2017). MSC: 35F21 49L25 35B51 35R02 35D40 35B27 PDF BibTeX XML Cite \textit{C. Imbert} and \textit{R. Monneau}, Ann. Sci. Éc. Norm. Supér. (4) 50, No. 2, 357--448 (2017; Zbl 1382.35075) Full Text: DOI Link
Achdou, Yves; Oudet, Salomé; Tchou, Nicoletta Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface. (English. French summary) Zbl 1352.35212 J. Math. Pures Appl. (9) 106, No. 6, 1091-1121 (2016). MSC: 35Q93 35F21 35B27 49L25 35B40 PDF BibTeX XML Cite \textit{Y. Achdou} et al., J. Math. Pures Appl. (9) 106, No. 6, 1091--1121 (2016; Zbl 1352.35212) Full Text: DOI arXiv
Mohajerin Esfahani, Peyman; Chatterjee, Debasish; Lygeros, John The stochastic reach-avoid problem and set characterization for diffusions. (English) Zbl 1339.93125 Automatica 70, 43-56 (2016). MSC: 93E20 93B03 49L20 93C20 49L25 PDF BibTeX XML Cite \textit{P. Mohajerin Esfahani} et al., Automatica 70, 43--56 (2016; Zbl 1339.93125) Full Text: DOI
Chen, Robin Ming; Liu, Qing A nonlinear parabolic equation with discontinuity in the highest order and applications. (English) Zbl 1439.35235 J. Differ. Equations 260, No. 2, 1200-1227 (2016). MSC: 35K55 35D40 35K67 49L25 53E10 PDF BibTeX XML Cite \textit{R. M. Chen} and \textit{Q. Liu}, J. Differ. Equations 260, No. 2, 1200--1227 (2016; Zbl 1439.35235) Full Text: DOI
Assellaou, Mohamed; Bokanowski, Olivier; Zidani, Hasnaa Error estimates for second order Hamilton-Jacobi-Bellman equations. Approximation of probabilistic reachable sets. (English) Zbl 1332.65133 Discrete Contin. Dyn. Syst. 35, No. 9, 3933-3964 (2015). MSC: 65M15 93E20 49L25 PDF BibTeX XML Cite \textit{M. Assellaou} et al., Discrete Contin. Dyn. Syst. 35, No. 9, 3933--3964 (2015; Zbl 1332.65133) Full Text: DOI
Barles, Guy; Briani, Ariela; Chasseigne, Emmanuel; Tchou, Nicoletta Homogenization results for a deterministic multi-domains periodic control problem. (English) Zbl 1338.49005 Asymptotic Anal. 95, No. 3-4, 243-278 (2015). MSC: 49J20 35B27 49L25 PDF BibTeX XML Cite \textit{G. Barles} et al., Asymptotic Anal. 95, No. 3--4, 243--278 (2015; Zbl 1338.49005) Full Text: DOI
Chasseigne, Emmanuel; Barles, Guy (Almost) everything you always wanted to know about deterministic control problems in stratified domains. (English) Zbl 1346.49039 Netw. Heterog. Media 10, No. 4, 809-836 (2015); corrigendum ibid. 13, No. 2, 373-378 (2018). MSC: 49L25 49L20 35F21 35D40 PDF BibTeX XML Cite \textit{E. Chasseigne} and \textit{G. Barles}, Netw. Heterog. Media 10, No. 4, 809--836 (2015; Zbl 1346.49039) Full Text: DOI
Boudjerada, R.; El Hajj, A. Global existence results for eikonal equation with \(BV\) initial data. (English) Zbl 1327.35066 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 947-978 (2015). MSC: 35F25 35A01 74G25 35F21 70H20 35Q74 PDF BibTeX XML Cite \textit{R. Boudjerada} and \textit{A. El Hajj}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 947--978 (2015; Zbl 1327.35066) Full Text: DOI
Chobanov, G.; Kawohl, B.; Kutev, N. Jump discontinuous viscosity solutions to second order degenerate elliptic equations. (English) Zbl 1351.35036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 469-483 (2015). Reviewer: Jeff Calder (Berkeley) MSC: 35J25 35D40 35B65 35J70 35B44 35B51 PDF BibTeX XML Cite \textit{G. Chobanov} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 469--483 (2015; Zbl 1351.35036) Full Text: DOI
Kawohl, Bernd; Schuricht, Friedemann First eigenfunctions of the 1-Laplacian are viscosity solutions. (English) Zbl 1322.35106 Commun. Pure Appl. Anal. 14, No. 1, 329-339 (2015). Reviewer: Nikos Katzourakis (Reading) MSC: 35P30 35D40 PDF BibTeX XML Cite \textit{B. Kawohl} and \textit{F. Schuricht}, Commun. Pure Appl. Anal. 14, No. 1, 329--339 (2015; Zbl 1322.35106) Full Text: DOI Link
Takei, R.; Chen, W.; Clawson, Z.; Kirov, S.; Vladimirsky, A. Optimal control with budget constraints and resets. (English) Zbl 1322.90091 SIAM J. Control Optim. 53, No. 2, 712-744 (2015). MSC: 90C29 49L20 49L25 49N90 65N22 65K05 34A38 PDF BibTeX XML Cite \textit{R. Takei} et al., SIAM J. Control Optim. 53, No. 2, 712--744 (2015; Zbl 1322.90091) Full Text: DOI
Feng, Xiaobing; Lewis, Thomas Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. (English) Zbl 1309.65133 Numer. Methods Partial Differ. Equations 30, No. 5, 1538-1557 (2014). MSC: 65N30 65M60 35J60 35K05 35J96 35K96 35F21 49L25 PDF BibTeX XML Cite \textit{X. Feng} and \textit{T. Lewis}, Numer. Methods Partial Differ. Equations 30, No. 5, 1538--1557 (2014; Zbl 1309.65133) Full Text: DOI
Feng, Xiaobing; Lewis, Thomas Mixed interior penalty discontinuous Galerkin methods for one-dimensional fully nonlinear second order elliptic and parabolic equations. (English) Zbl 1313.65263 J. Comput. Math. 32, No. 2, 107-135 (2014). MSC: 65M60 65N30 49L25 35K55 35J60 PDF BibTeX XML Cite \textit{X. Feng} and \textit{T. Lewis}, J. Comput. Math. 32, No. 2, 107--135 (2014; Zbl 1313.65263) Full Text: DOI arXiv
Gomes, Diogo A.; Terrone, Gabriele The Mather problem for lower semicontinuous Lagrangians. (English) Zbl 1307.35087 NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 2, 167-217 (2014). MSC: 35F21 37J50 35D40 35R05 49K20 PDF BibTeX XML Cite \textit{D. A. Gomes} and \textit{G. Terrone}, NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 2, 167--217 (2014; Zbl 1307.35087) Full Text: DOI
Feng, Xiaobing; Lewis, Thomas Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations. (English) Zbl 1298.65171 J. Sci. Comput. 59, No. 1, 129-157 (2014). MSC: 65N30 65M60 35J60 35K55 PDF BibTeX XML Cite \textit{X. Feng} and \textit{T. Lewis}, J. Sci. Comput. 59, No. 1, 129--157 (2014; Zbl 1298.65171) Full Text: DOI arXiv
Rao, Z.; Siconolfi, A.; Zidani, H. Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. (English) Zbl 1298.49043 J. Differ. Equations 257, No. 11, 3978-4014 (2014). MSC: 49L20 49L25 49J21 35F21 35B51 34A60 PDF BibTeX XML Cite \textit{Z. Rao} et al., J. Differ. Equations 257, No. 11, 3978--4014 (2014; Zbl 1298.49043) Full Text: DOI
Barles, G.; Briani, A.; Chasseigne, E. A Bellman approach for regional optimal control problems in \(\mathbb{R}^N\). (English) Zbl 1297.49041 SIAM J. Control Optim. 52, No. 3, 1712-1744 (2014). MSC: 49L20 49L25 35F21 PDF BibTeX XML Cite \textit{G. Barles} et al., SIAM J. Control Optim. 52, No. 3, 1712--1744 (2014; Zbl 1297.49041) Full Text: DOI
Festa, Adriano; Falcone, Maurizio An approximation scheme for an eikonal equation with discontinuous coefficient. (English) Zbl 1305.65215 SIAM J. Numer. Anal. 52, No. 1, 236-257 (2014). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N06 65N15 35R05 35F21 65N12 49L25 PDF BibTeX XML Cite \textit{A. Festa} and \textit{M. Falcone}, SIAM J. Numer. Anal. 52, No. 1, 236--257 (2014; Zbl 1305.65215) Full Text: DOI arXiv
Liu, Hailiang The alternating evolution methods for first order nonlinear partial differential equations. (English) Zbl 1308.65168 Commun. Inf. Syst. 13, No. 3, 291-325 (2013). MSC: 65M60 65M06 65M08 35L05 35F21 49L25 PDF BibTeX XML Cite \textit{H. Liu}, Commun. Inf. Syst. 13, No. 3, 291--325 (2013; Zbl 1308.65168) Full Text: DOI
Rao, Zhiping; Zidani, Hasnaa Hamilton-Jacobi-Bellman equations on multi-domains. (English) Zbl 1272.49046 Bredies, Kristian (ed.) et al., Control and optimization with PDE constraints. Based on the international workshop on control and optimization of PDEs, Mariatrost, Austria, October 10–14, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0630-5/hbk; 978-3-0348-0631-2/ebook). ISNM. International Series of Numerical Mathematics 164, 93-116 (2013). MSC: 49L25 49L20 35F21 PDF BibTeX XML Cite \textit{Z. Rao} and \textit{H. Zidani}, ISNM, Int. Ser. Numer. Math. 164, 93--116 (2013; Zbl 1272.49046) Full Text: DOI
Barles, G.; Briani, A.; Chasseigne, E. A Bellman approach for two-domains optimal control problems in \(\mathbb{R}^N\). (English) Zbl 1287.49028 ESAIM, Control Optim. Calc. Var. 19, No. 3, 710-739 (2013). Reviewer: Fabio Bagagiolo (Trento) MSC: 49L25 49L20 35F21 PDF BibTeX XML Cite \textit{G. Barles} et al., ESAIM, Control Optim. Calc. Var. 19, No. 3, 710--739 (2013; Zbl 1287.49028) Full Text: DOI
Giga, Yoshikazu; Hamamuki, Nao Hamilton-Jacobi equations with discontinuous source terms. (English) Zbl 1263.35066 Commun. Partial Differ. Equations 38, No. 1-3, 199-243 (2013). MSC: 35F21 35F25 49L25 35D40 PDF BibTeX XML Cite \textit{Y. Giga} and \textit{N. Hamamuki}, Commun. Partial Differ. Equations 38, No. 1--3, 199--243 (2013; Zbl 1263.35066) Full Text: DOI
Cockburn, Bernardo; Merev, Ivan; Qian, Jianliang Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations. (English) Zbl 1269.65086 Math. Comput. 82, No. 281, 187-212 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65M15 65M12 35F21 49L25 65M06 65M08 65M60 PDF BibTeX XML Cite \textit{B. Cockburn} et al., Math. Comput. 82, No. 281, 187--212 (2013; Zbl 1269.65086) Full Text: DOI
Imbert, Cyril; Monneau, Régis; Zidani, Hasnaa A Hamilton-Jacobi approach to junction problems and application to traffic flows. (English) Zbl 1262.35080 ESAIM, Control Optim. Calc. Var. 19, No. 1, 129-166 (2013). MSC: 35F21 35D40 35Q93 35R05 35B51 90B20 PDF BibTeX XML Cite \textit{C. Imbert} et al., ESAIM, Control Optim. Calc. Var. 19, No. 1, 129--166 (2013; Zbl 1262.35080) Full Text: DOI arXiv
Bouchard, Bruno; Nam Vu, Thanh A stochastic target approach for P&L matching problems. (English) Zbl 1297.91150 Math. Oper. Res. 37, No. 3, 526-558 (2012). MSC: 91G80 35D40 49L25 60J70 91G20 PDF BibTeX XML Cite \textit{B. Bouchard} and \textit{T. Nam Vu}, Math. Oper. Res. 37, No. 3, 526--558 (2012; Zbl 1297.91150) Full Text: DOI
Makarenko, Alexander Simulation of discontinuous solutions in evolutionary equations. New approaches for reducing non-physical oscillations and smoothing in numerical solutions. (English) Zbl 1280.65087 Algebras Groups Geom. 29, No. 2, 161-172 (2012). MSC: 65M06 35L02 35L65 76N15 76N20 PDF BibTeX XML Cite \textit{A. Makarenko}, Algebras Groups Geom. 29, No. 2, 161--172 (2012; Zbl 1280.65087)
Xiong, Jingang \(C^{1, 1}\) estimates for elliptic equations with partial and piecewise continuous coefficients. (English) Zbl 1266.35027 Methods Appl. Anal. 18, No. 4, 373-390 (2011). Reviewer: Junichi Aramaki (Saitama) MSC: 35J15 35D40 PDF BibTeX XML Cite \textit{J. Xiong}, Methods Appl. Anal. 18, No. 4, 373--390 (2012; Zbl 1266.35027) Full Text: DOI
Bagagiolo, Fabio; Benetton, Michela About an optimal visiting problem. (English) Zbl 1242.49056 Appl. Math. Optim. 65, No. 1, 31-51 (2012). Reviewer: Swapan Das Gupta (Halifax) MSC: 49L20 49L25 90C39 PDF BibTeX XML Cite \textit{F. Bagagiolo} and \textit{M. Benetton}, Appl. Math. Optim. 65, No. 1, 31--51 (2012; Zbl 1242.49056) Full Text: DOI
Moreau, Ludovic Stochastic target problems with controlled loss in jump diffusion models. (English) Zbl 1237.93180 SIAM J. Control Optim. 49, No. 6, 2577-2607 (2011). MSC: 93E20 49L25 60J75 49L20 35K55 PDF BibTeX XML Cite \textit{L. Moreau}, SIAM J. Control Optim. 49, No. 6, 2577--2607 (2011; Zbl 1237.93180) Full Text: DOI
Bouchard, Bruno; Touzi, Nizar Weak dynamic programming principle for viscosity solutions. (English) Zbl 1228.49028 SIAM J. Control Optim. 49, No. 3, 948-962 (2011). MSC: 49L25 60J60 49L20 35K55 PDF BibTeX XML Cite \textit{B. Bouchard} and \textit{N. Touzi}, SIAM J. Control Optim. 49, No. 3, 948--962 (2011; Zbl 1228.49028) Full Text: DOI
Bouchard, Bruno; Dang, Ngoc-Minh; Lehalle, Charles-Albert Optimal control of trading algorithms: a general impulse control approach. (English) Zbl 1220.91030 SIAM J. Financ. Math. 2, 404-438 (2011). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 91G10 93E20 49L25 PDF BibTeX XML Cite \textit{B. Bouchard} et al., SIAM J. Financ. Math. 2, 404--438 (2011; Zbl 1220.91030) Full Text: DOI
Guo, Wei; Li, Fengyan; Qiu, Jianxian Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. (English) Zbl 1217.65193 J. Sci. Comput. 47, No. 2, 239-257 (2011). MSC: 65M60 35F21 65M06 49L25 65Y20 PDF BibTeX XML Cite \textit{W. Guo} et al., J. Sci. Comput. 47, No. 2, 239--257 (2011; Zbl 1217.65193) Full Text: DOI
Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians. (English) Zbl 1215.49035 Proc. Am. Math. Soc. 139, No. 5, 1777-1785 (2011). MSC: 49L25 PDF BibTeX XML Cite \textit{Y. Giga} et al., Proc. Am. Math. Soc. 139, No. 5, 1777--1785 (2011; Zbl 1215.49035) Full Text: DOI
Goreac, Dan; Serea, Oana-Silvia Mayer and optimal stopping stochastic control problems with discontinuous cost. (English) Zbl 1215.93150 J. Math. Anal. Appl. 380, No. 1, 327-342 (2011). MSC: 93E20 49L25 49J40 60H10 49N15 PDF BibTeX XML Cite \textit{D. Goreac} and \textit{O.-S. Serea}, J. Math. Anal. Appl. 380, No. 1, 327--342 (2011; Zbl 1215.93150) Full Text: DOI
Yan, Jue; Osher, Stanley A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations. (English) Zbl 1205.65271 J. Comput. Phys. 230, No. 1, 232-244 (2011). MSC: 65M60 35F21 65M12 65M15 49L25 PDF BibTeX XML Cite \textit{J. Yan} and \textit{S. Osher}, J. Comput. Phys. 230, No. 1, 232--244 (2011; Zbl 1205.65271) Full Text: DOI
Kumar, Ajeet; Vladimirsky, Alexander An efficient method for multiobjective optimal control and optimal control subject to integral constraints. (English) Zbl 1240.90345 J. Comput. Math. 28, No. 4, 517-551 (2010). MSC: 90C29 49J30 49L25 65K05 PDF BibTeX XML Cite \textit{A. Kumar} and \textit{A. Vladimirsky}, J. Comput. Math. 28, No. 4, 517--551 (2010; Zbl 1240.90345) Full Text: DOI arXiv
Bouchard, Bruno; Elie, Romuald; Imbert, Cyril Optimal control under stochastic target constraints. (English) Zbl 1203.93208 SIAM J. Control Optim. 48, No. 5, 3501-3531 (2010). MSC: 93E20 49L25 60J60 PDF BibTeX XML Cite \textit{B. Bouchard} et al., SIAM J. Control Optim. 48, No. 5, 3501--3531 (2010; Zbl 1203.93208) Full Text: DOI
Bouchard, Bruno; Elie, Romuald; Touzi, Nizar Stochastic target problems with controlled loss. (English) Zbl 1202.49028 SIAM J. Control Optim. 48, No. 5, 3123-3150 (2009). MSC: 49L25 60J60 49L20 35K55 93E20 PDF BibTeX XML Cite \textit{B. Bouchard} et al., SIAM J. Control Optim. 48, No. 5, 3123--3150 (2010; Zbl 1202.49028) Full Text: DOI
Bouchard, Bruno; Vu, Thanh Nam The obstacle version of the geometric dynamic programming principle: application to the pricing of American options under constraints. (English) Zbl 1185.49029 Appl. Math. Optim. 61, No. 2, 235-265 (2010). MSC: 49L20 93E20 91G10 PDF BibTeX XML Cite \textit{B. Bouchard} and \textit{T. N. Vu}, Appl. Math. Optim. 61, No. 2, 235--265 (2010; Zbl 1185.49029) Full Text: DOI
Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary. (English) Zbl 1183.49028 Discrete Contin. Dyn. Syst. 26, No. 2, 493-519 (2010). MSC: 49L25 53C44 49J20 PDF BibTeX XML Cite \textit{Y. Giga} et al., Discrete Contin. Dyn. Syst. 26, No. 2, 493--519 (2010; Zbl 1183.49028) Full Text: DOI
Feng, Xiaobing; Neilan, Michael Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. (English) Zbl 1203.65252 J. Sci. Comput. 38, No. 1, 74-98 (2009). MSC: 65N30 35J60 PDF BibTeX XML Cite \textit{X. Feng} and \textit{M. Neilan}, J. Sci. Comput. 38, No. 1, 74--98 (2009; Zbl 1203.65252) Full Text: DOI arXiv
Albano, Paolo The singularities of the distance function near convex boundary points. (English) Zbl 1194.26004 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 2, 273-281 (2009). Reviewer: Gheorghe Toader (Cluj-Napoca) MSC: 26A27 26A51 35F30 PDF BibTeX XML Cite \textit{P. Albano}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 2, 273--281 (2009; Zbl 1194.26004) Full Text: DOI
Chambolle, Antonin; Novaga, Matteo Implicit time discretization of the mean curvature flow with a discontinuous forcing term. (English) Zbl 1170.65054 Interfaces Free Bound. 10, No. 3, 283-300 (2008). Reviewer: Ronald H. W. Hoppe (Augsburg) MSC: 65K10 49Q05 49L25 PDF BibTeX XML Cite \textit{A. Chambolle} and \textit{M. Novaga}, Interfaces Free Bound. 10, No. 3, 283--300 (2008; Zbl 1170.65054) Full Text: DOI Link
Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai A second order discontinuous Galerkin fast sweeping method for eikonal equations. (English) Zbl 1151.65092 J. Comput. Phys. 227, No. 17, 8191-8208 (2008). MSC: 65N30 35F15 49L25 65N12 65N15 PDF BibTeX XML Cite \textit{F. Li} et al., J. Comput. Phys. 227, No. 17, 8191--8208 (2008; Zbl 1151.65092) Full Text: DOI
Abgrall, Rémi; Perrier, Vincent On the numerical approximation of first-order Hamilton-Jacobi equations. (English) Zbl 1147.65323 Int. J. Appl. Math. Comput. Sci. 17, No. 3, 403-412 (2007). MSC: 65N30 35L60 35F15 65N06 65M06 49L25 PDF BibTeX XML Cite \textit{R. Abgrall} and \textit{V. Perrier}, Int. J. Appl. Math. Comput. Sci. 17, No. 3, 403--412 (2007; Zbl 1147.65323) Full Text: DOI EuDML
Ly Vath, Vathana; Mnif, Mohamed; Pham, Huyên A model of optimal portfolio selection under liquidity risk and price impact. (English) Zbl 1145.91025 Finance Stoch. 11, No. 1, 51-90 (2007). Reviewer: Yuliya Mishura (Kyïv) MSC: 91G10 93E20 60H30 49L25 PDF BibTeX XML Cite \textit{V. Ly Vath} et al., Finance Stoch. 11, No. 1, 51--90 (2007; Zbl 1145.91025) Full Text: DOI
Chen, Yanlai; Cockburn, Bernardo An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. I: The one-dimensional steady state case. (English) Zbl 1126.65098 J. Comput. Phys. 226, No. 1, 1027-1058 (2007). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N50 49L25 35F30 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{B. Cockburn}, J. Comput. Phys. 226, No. 1, 1027--1058 (2007; Zbl 1126.65098) Full Text: DOI
Anguelov, Roumen; Markov, Svetoslav Numerical computations with Hausdorff continuous functions. (English) Zbl 1137.65346 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 279-286 (2007). MSC: 65G40 35L05 PDF BibTeX XML Cite \textit{R. Anguelov} and \textit{S. Markov}, Lect. Notes Comput. Sci. 4310, 279--286 (2007; Zbl 1137.65346) Full Text: DOI
Bressan, Alberto; Hong, Yunho Optimal control problems on stratified domains. (English) Zbl 1123.49028 Netw. Heterog. Media 2, No. 2, 313-331 (2007). Reviewer: Lars Grüne (Bayreuth) MSC: 49L25 49J24 PDF BibTeX XML Cite \textit{A. Bressan} and \textit{Y. Hong}, Netw. Heterog. Media 2, No. 2, 313--331 (2007; Zbl 1123.49028) Full Text: DOI
Serea, Oana-Silvia Hamilton-Jacobi equations related with differential games with supremum cost. (Équations d’Hamilton-Jacobi Liées aux jeux différentiels avec coût de type supremum.) (French) Zbl 1170.49026 C. R., Math., Acad. Sci. Paris 344, No. 12, 743-748 (2007). MSC: 49L25 49N70 91A23 PDF BibTeX XML Cite \textit{O.-S. Serea}, C. R., Math., Acad. Sci. Paris 344, No. 12, 743--748 (2007; Zbl 1170.49026) Full Text: DOI
Guo, Yuzhen; Feng, Enmin A nonlinear model and viscosity solution for the temperature field of an oil-immersed self-cooled three-phrase transformer. (English) Zbl 1112.35088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 9, 2098-2107 (2007). MSC: 35K50 35K55 35R05 35D05 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{E. Feng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 9, 2098--2107 (2007; Zbl 1112.35088) Full Text: DOI
Cardaliaguet, Pierre; Marchi, Claudio Regularity of the eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms. (English) Zbl 1124.35014 SIAM J. Control Optim. 45, No. 3, 1017-1038 (2006). Reviewer: Vasile Iftode (Bucureşti) MSC: 35F25 35D05 PDF BibTeX XML Cite \textit{P. Cardaliaguet} and \textit{C. Marchi}, SIAM J. Control Optim. 45, No. 3, 1017--1038 (2006; Zbl 1124.35014) Full Text: DOI
Garavello, M.; Soravia, P. Representation formulas for solutions of the HJI equations with discontinuous coefficients and existence of value in differential games. (English) Zbl 1123.49033 J. Optim. Theory Appl. 130, No. 2, 209-229 (2006). MSC: 49N70 49L25 91A23 PDF BibTeX XML Cite \textit{M. Garavello} and \textit{P. Soravia}, J. Optim. Theory Appl. 130, No. 2, 209--229 (2006; Zbl 1123.49033) Full Text: DOI
Soravia, Pierpaolo Degenerate eikonal equations with discontinuous refraction index. (English) Zbl 1105.35026 ESAIM, Control Optim. Calc. Var. 12, 216-230 (2006). MSC: 35F30 35B05 49L20 49L25 78A05 PDF BibTeX XML Cite \textit{P. Soravia}, ESAIM, Control Optim. Calc. Var. 12, 216--230 (2006; Zbl 1105.35026) Full Text: DOI Numdam EuDML
Alvarez, O.; Cardaliaguet, P.; Monneau, R. Existence and uniqueness for dislocation dynamics with nonnegative velocity. (English) Zbl 1099.35148 Interfaces Free Bound. 7, No. 4, 415-434 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q72 74N20 49L25 PDF BibTeX XML Cite \textit{O. Alvarez} et al., Interfaces Free Bound. 7, No. 4, 415--434 (2005; Zbl 1099.35148) Full Text: DOI
Croisille, J.-P.; Ern, A.; Lelièvre, T.; Proft, J. Analysis and simulation of a coupled hyperbolic/parabolic model problem. (English) Zbl 1081.65084 J. Numer. Math. 13, No. 2, 81-103 (2005). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 47D06 76M12 65M60 35M20 35M10 PDF BibTeX XML Cite \textit{J. P. Croisille} et al., J. Numer. Math. 13, No. 2, 81--103 (2005; Zbl 1081.65084) Full Text: DOI
Bagagiolo, Fabio Optimal control of finite horizon type for a multidimensional delayed switching system. (English) Zbl 1120.49021 Discrete Contin. Dyn. Syst., Ser. B 5, No. 2, 239-264 (2005). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49L25 49J15 49J25 34C55 PDF BibTeX XML Cite \textit{F. Bagagiolo}, Discrete Contin. Dyn. Syst., Ser. B 5, No. 2, 239--264 (2005; Zbl 1120.49021) Full Text: DOI
Garavello, Mauro; Soravia, Pierpaolo Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost. (English) Zbl 1053.49026 NoDEA, Nonlinear Differ. Equ. Appl. 11, No. 3, 271-298 (2004). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49L25 35B37 35F20 49J10 49K15 PDF BibTeX XML Cite \textit{M. Garavello} and \textit{P. Soravia}, NoDEA, Nonlinear Differ. Equ. Appl. 11, No. 3, 271--298 (2004; Zbl 1053.49026) Full Text: DOI
Mirică, Ştefan Constructive dynamic programming in optimal control. Autonomous problems. (English) Zbl 1052.49026 Bucureşti: Editura Academiei Române (ISBN 973-27-1068-3/pbk). xi, 413 p. (2004). Reviewer: Lars Grüne (Bayreuth) MSC: 49L20 49K15 49N35 49J24 49J52 49L25 34A60 26A27 26E25 PDF BibTeX XML Cite \textit{Ş. Mirică}, Constructive dynamic programming in optimal control. Autonomous problems. Bucureşti: Editura Academiei Române (2004; Zbl 1052.49026)
Emmel, L.; Kaber, S. M.; Maday, Y. Padé–Jacobi filtering for spectral approximations of discontinuous solutions. (English) Zbl 1033.65089 Numer. Algorithms 33, No. 1-4, 251-264 (2003). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 76M22 35L65 76N15 PDF BibTeX XML Cite \textit{L. Emmel} et al., Numer. Algorithms 33, No. 1--4, 251--264 (2003; Zbl 1033.65089) Full Text: DOI
Dal Maso, Gianni; Frankowska, Hélène Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations. (English) Zbl 1035.49035 Appl. Math. Optimization 48, No. 1, 39-66 (2003). MSC: 49N60 49K05 49L25 PDF BibTeX XML Cite \textit{G. Dal Maso} and \textit{H. Frankowska}, Appl. Math. Optim. 48, No. 1, 39--66 (2003; Zbl 1035.49035) Full Text: DOI arXiv
Siconolfi, Antonio Almost continuous solutions of geometric Hamilton–Jacobi equations. (English) Zbl 1029.35067 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 2, 237-269 (2003). Reviewer: V.Iftode (Bucureşti) MSC: 35F20 49L25 35C99 PDF BibTeX XML Cite \textit{A. Siconolfi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 2, 237--269 (2003; Zbl 1029.35067) Full Text: DOI Numdam EuDML
Chen, Gui-Qiang; Su, Bo Discontinuous solutions for Hamilton-Jacobi equations: Uniqueness and regularity. (English) Zbl 1015.35032 Discrete Contin. Dyn. Syst. 9, No. 1, 167-192 (2003). MSC: 35F25 35B35 35D05 35D10 PDF BibTeX XML Cite \textit{G.-Q. Chen} and \textit{B. Su}, Discrete Contin. Dyn. Syst. 9, No. 1, 167--192 (2003; Zbl 1015.35032) Full Text: DOI
Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. (English) Zbl 1013.65088 Math. Comput. 72, No. 241, 159-181 (2003). MSC: 65M06 70H20 35L60 49L25 PDF BibTeX XML Cite \textit{Y.-H. R. Tsai} et al., Math. Comput. 72, No. 241, 159--181 (2003; Zbl 1013.65088) Full Text: DOI
Plaskacz, Sławomir; Quincampoix, Marc On representation formulas for Hamilton Jacobi’s equations related to calculus of variations problems. (English) Zbl 1021.49024 Topol. Methods Nonlinear Anal. 20, No. 1, 85-118 (2002). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L25 34A60 35D05 49J52 49J24 49L20 PDF BibTeX XML Cite \textit{S. Plaskacz} and \textit{M. Quincampoix}, Topol. Methods Nonlinear Anal. 20, No. 1, 85--118 (2002; Zbl 1021.49024) Full Text: DOI
Soner, H. Mete; Touzi, Nizar Stochastic target problems, dynamic programming, and viscosity solutions. (English) Zbl 1011.49019 SIAM J. Control Optimization 41, No. 2, 404-424 (2002). MSC: 49K45 93E20 49L20 49L25 PDF BibTeX XML Cite \textit{H. M. Soner} and \textit{N. Touzi}, SIAM J. Control Optim. 41, No. 2, 404--424 (2002; Zbl 1011.49019) Full Text: DOI
Alvarez, O.; Barron, E. N. Homogenization in \(L^\infty\). (English) Zbl 1023.35010 J. Differ. Equations 183, No. 1, 132-164 (2002). Reviewer: Ovidiu Cârjá (Iasi) MSC: 35B27 49L25 49J45 PDF BibTeX XML Cite \textit{O. Alvarez} and \textit{E. N. Barron}, J. Differ. Equations 183, No. 1, 132--164 (2002; Zbl 1023.35010) Full Text: DOI
Dal Maso, Gianni; Frankowska, Hélène Uniqueness of solutions to Hamilton-Jacobi equations arising in the calculus of variations. (English) Zbl 1054.49507 Menaldi, José Luis (ed.) et al., Optimal control and partial differential equations. In honour of Professor Alain Bensoussan’s 60th birthday. Proceedings of the conference, Paris, France, December 4, 2000. Amsterdam: IOS Press; Tokyo: Ohmsha (ISBN 1-58603-096-5; 4-274-90412-1). 335-345 (2001). MSC: 49L20 49L25 PDF BibTeX XML Cite \textit{G. Dal Maso} and \textit{H. Frankowska}, in: Optimal control and partial differential equations. In honour of Professor Alain Bensoussan's 60th birthday. Proceedings of the conference, Paris, France, December 4, 2000. Amsterdam: IOS Press; Tokyo: Ohmsha. 335--345 (2001; Zbl 1054.49507)
Barles, G.; Busca, Jérôme Existence and comparison results for fully nonlinear degenerate elliptic equations without Zeroth-order term. (English) Zbl 0997.35023 Commun. Partial Differ. Equations 26, No. 11-12, 2323-2337 (2001). MSC: 35J70 35J60 35B05 35D05 PDF BibTeX XML Cite \textit{G. Barles} and \textit{J. Busca}, Commun. Partial Differ. Equations 26, No. 11--12, 2323--2337 (2001; Zbl 0997.35023) Full Text: DOI
Blanc, Alain-Philippe Comparison principle for the Cauchy problem for Hamilton-Jacobi equations with discontinuous data. (English) Zbl 0995.49016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 8, 1015-1037 (2001). Reviewer: Lars Grüne (Frankfurt) MSC: 49L25 49K20 49L20 35B05 35F30 PDF BibTeX XML Cite \textit{A.-P. Blanc}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 8, 1015--1037 (2001; Zbl 0995.49016) Full Text: DOI
Gottlieb, D.; Hesthaven, J. S. Spectral methods for hyperbolic problems. (English) Zbl 0974.65093 J. Comput. Appl. Math. 128, No. 1-2, 83-131 (2001). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65M70 35L65 65M12 PDF BibTeX XML Cite \textit{D. Gottlieb} and \textit{J. S. Hesthaven}, J. Comput. Appl. Math. 128, No. 1--2, 83--131 (2001; Zbl 0974.65093) Full Text: DOI
Adimurthi; Veerappa Gowda, G. D. Formula for a solution of \(u_t+H (u,Du)=g\). (English) Zbl 0967.35027 Proc. Indian Acad. Sci., Math. Sci. 110, No. 4, 393-414 (2000). Reviewer: V.Iftode (Bucureşti) MSC: 35F10 49L25 PDF BibTeX XML Cite \textit{Adimurthi} and \textit{G. D. Veerappa Gowda}, Proc. Indian Acad. Sci., Math. Sci. 110, No. 4, 393--414 (2000; Zbl 0967.35027) Full Text: DOI
Ostrov, Daniel N. Extending viscosity solutions to eikonal equations with discontinuous spatial dependence. (English) Zbl 1030.49030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 4, 709-736 (2000). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L25 49L20 35D05 35Q60 PDF BibTeX XML Cite \textit{D. N. Ostrov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 4, 709--736 (2000; Zbl 1030.49030) Full Text: DOI
Dal Maso, Gianni; Frankowska, Hélène Value functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. (English) Zbl 0952.49024 ESAIM, Control Optim. Calc. Var. 5, 369-393 (2000). MSC: 49L20 49L25 PDF BibTeX XML Cite \textit{G. Dal Maso} and \textit{H. Frankowska}, ESAIM, Control Optim. Calc. Var. 5, 369--393 (2000; Zbl 0952.49024) Full Text: DOI Link EuDML
Bürger, R.; Evje, S.; Karlsen, K. Hvistendahl On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes. (English) Zbl 0961.35078 J. Math. Anal. Appl. 247, No. 2, 517-556 (2000). Reviewer: Bronius Kvedaras (Vilnius) MSC: 35K65 35K20 35K55 PDF BibTeX XML Cite \textit{R. Bürger} et al., J. Math. Anal. Appl. 247, No. 2, 517--556 (2000; Zbl 0961.35078) Full Text: DOI
Soravia, P. Viscosity solutions and optimal control problems with integral constraints. (English) Zbl 0985.49016 Syst. Control Lett. 40, No. 5, 325-335 (2000). MSC: 49L25 49L20 PDF BibTeX XML Cite \textit{P. Soravia}, Syst. Control Lett. 40, No. 5, 325--335 (2000; Zbl 0985.49016) Full Text: DOI
Kim, Kyung-Eung Hamilton-Jacobi-Bellman equation under states constraints. (English) Zbl 0954.35045 J. Math. Anal. Appl. 244, No. 1, 57-76 (2000). Reviewer: V.Iftode (Bucureşti) MSC: 35F20 49L25 PDF BibTeX XML Cite \textit{K.-E. Kim}, J. Math. Anal. Appl. 244, No. 1, 57--76 (2000; Zbl 0954.35045) Full Text: DOI