Garcke, Harald; Hüttl, Paul; Kahle, Christian; Knopf, Patrik Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures. (English) Zbl 07791681 Appl. Math. Optim. 89, No. 1, Paper No. 24, 58 p. (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 35C20 35P05 35R35 49Q10 49R05 74B05 74P05 74P15 PDFBibTeX XMLCite \textit{H. Garcke} et al., Appl. Math. Optim. 89, No. 1, Paper No. 24, 58 p. (2024; Zbl 07791681) Full Text: DOI arXiv OA License
Gallo, Marco Nonlocal elliptic PDEs with general nonlinearities. arXiv:2402.08338 Preprint, arXiv:2402.08338 [math.AP] (2024). MSC: 35A15 35B06 35B09 35B25 35B33 35B38 35B40 35B65 35D30 35D40 35J20 35J60 35J61 35Q55 35R09 35R11 45K05 45M05 45M20 46M20 47J30 49J35 58E05 BibTeX Cite \textit{M. Gallo}, ``Nonlocal elliptic PDEs with general nonlinearities'', Preprint, arXiv:2402.08338 [math.AP] (2024) Full Text: arXiv OA License
Léger, Flavien; Vialard, François-Xavier A geometric Laplace method. (English) Zbl 07787353 Pure Appl. Anal. 5, No. 4, 1041-1080 (2023). MSC: 41A60 49Q22 53B12 53C55 90B06 PDFBibTeX XMLCite \textit{F. Léger} and \textit{F.-X. Vialard}, Pure Appl. Anal. 5, No. 4, 1041--1080 (2023; Zbl 07787353) Full Text: DOI arXiv
Lu, Yulong; Slepčev, Dejan; Wang, Lihan Birth-death dynamics for sampling: global convergence, approximations and their asymptotics. (English) Zbl 1527.35405 Nonlinearity 36, No. 11, 5731-5772 (2023). MSC: 35Q62 35Q84 82C31 62D05 62C10 45M05 60J80 49Q20 35B40 35B09 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Lu} et al., Nonlinearity 36, No. 11, 5731--5772 (2023; Zbl 1527.35405) Full Text: DOI arXiv OA License
Kurina, G. A.; Hoai, Nguyen Thi Zero-order asymptotics for the solution of one type of singularly perturbed linear-quadratic control problems in the critical case. (English. Russian original) Zbl 1522.49031 Proc. Steklov Inst. Math. 321, Suppl. 1, S154-S169 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 1, 127-142 (2023). MSC: 49N10 93C70 PDFBibTeX XMLCite \textit{G. A. Kurina} and \textit{N. T. Hoai}, Proc. Steklov Inst. Math. 321, S154--S169 (2023; Zbl 1522.49031); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 1, 127--142 (2023) Full Text: DOI
Nazarov, Sergei A. “Far-field interaction” of concentrated masses in two-dimensional Neumann and Dirichlet problems. (English. Russian original) Zbl 07733650 Izv. Math. 87, No. 1, 61-112 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 65-118 (2023). MSC: 74H45 49R50 35P10 35P20 74G70 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Izv. Math. 87, No. 1, 61--112 (2023; Zbl 07733650); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 65--118 (2023) Full Text: DOI MNR
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi A stochastic model of grain boundary dynamics: a Fokker-Planck perspective. (English) Zbl 1524.74379 Math. Models Methods Appl. Sci. 32, No. 11, 2189-2236 (2022). MSC: 74N15 35R37 35Q84 35K15 93E03 53C21 49Q20 65M22 74N20 PDFBibTeX XMLCite \textit{Y. Epshteyn} et al., Math. Models Methods Appl. Sci. 32, No. 11, 2189--2236 (2022; Zbl 1524.74379) Full Text: DOI arXiv
Durastanti, Riccardo; Giacomelli, Lorenzo Spreading equilibria under mildly singular potentials: pancakes versus droplets. (English) Zbl 1503.35158 J. Nonlinear Sci. 32, No. 5, Paper No. 71, 61 p. (2022). MSC: 35Q35 34C60 34E10 35J91 49J05 49J10 76A20 76D03 76D08 35R35 35A02 PDFBibTeX XMLCite \textit{R. Durastanti} and \textit{L. Giacomelli}, J. Nonlinear Sci. 32, No. 5, Paper No. 71, 61 p. (2022; Zbl 1503.35158) Full Text: DOI arXiv
Carrillo, José A.; Chen, Lin; Wang, Qi An optimal mass transport method for random genetic drift. (English) Zbl 1496.65109 SIAM J. Numer. Anal. 60, No. 3, 940-969 (2022). MSC: 65M06 49M15 92D25 92D20 35B40 35B44 35R60 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Numer. Anal. 60, No. 3, 940--969 (2022; Zbl 1496.65109) Full Text: DOI arXiv
Altschuler, Jason M.; Niles-Weed, Jonathan; Stromme, Austin J. Asymptotics for semidiscrete entropic optimal transport. (English) Zbl 1498.49086 SIAM J. Math. Anal. 54, No. 2, 1718-1741 (2022). MSC: 49Q22 41A60 58E30 49N15 PDFBibTeX XMLCite \textit{J. M. Altschuler} et al., SIAM J. Math. Anal. 54, No. 2, 1718--1741 (2022; Zbl 1498.49086) Full Text: DOI arXiv
Larson, Simon Erratum to: “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”. (English) Zbl 1484.35300 J. Spectr. Theory 11, No. 4, 1987-1991 (2021). MSC: 35P15 35J25 47A75 49Q10 35S05 PDFBibTeX XMLCite \textit{S. Larson}, J. Spectr. Theory 11, No. 4, 1987--1991 (2021; Zbl 1484.35300) Full Text: DOI
Dolbeault, Jean Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results. (English) Zbl 1481.35006 Milan J. Math. 89, No. 2, 355-386 (2021). MSC: 35-02 35A23 26D10 35B06 35J60 35K55 46B70 46E35 49J40 49K20 49K30 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault}, Milan J. Math. 89, No. 2, 355--386 (2021; Zbl 1481.35006) Full Text: DOI arXiv
Kalyakin, L. A. Asymptotics of the solution of a variational problem on a large interval. (English. Russian original) Zbl 1494.34083 Math. Notes 110, No. 5, 687-699 (2021); translation from Mat. Zametki 110, No. 5, 688-703 (2021). Reviewer: José Angel Cid Araujo (Ourense) MSC: 34B08 34B15 49K05 34D05 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Math. Notes 110, No. 5, 687--699 (2021; Zbl 1494.34083); translation from Mat. Zametki 110, No. 5, 688--703 (2021) Full Text: DOI
Nguyen, Thi Hoai Asymptotic solution of a singularly perturbed optimal problem with integral constraint. (English) Zbl 1473.49038 J. Optim. Theory Appl. 190, No. 3, 931-950 (2021). MSC: 49N10 49K15 49J21 34E05 34E10 PDFBibTeX XMLCite \textit{T. H. Nguyen}, J. Optim. Theory Appl. 190, No. 3, 931--950 (2021; Zbl 1473.49038) Full Text: DOI
Hofmann, Matthias; Kennedy, James B.; Mugnolo, Delio; Plümer, Marvin Asymptotics and estimates for spectral minimal partitions of metric graphs. (English) Zbl 1467.81051 Integral Equations Oper. Theory 93, No. 3, Paper No. 26, 36 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 81Q35 34B45 35P15 35P20 49Q10 58J50 41A60 PDFBibTeX XMLCite \textit{M. Hofmann} et al., Integral Equations Oper. Theory 93, No. 3, Paper No. 26, 36 p. (2021; Zbl 1467.81051) Full Text: DOI arXiv
Herrmann, Michael; Matthies, Karsten Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits. (English) Zbl 1512.47085 Nonlinearity 33, No. 8, 4046-4074 (2020). MSC: 47J10 45G10 45M05 45C05 49R05 PDFBibTeX XMLCite \textit{M. Herrmann} and \textit{K. Matthies}, Nonlinearity 33, No. 8, 4046--4074 (2020; Zbl 1512.47085) Full Text: DOI
Manzo, Rosanna On Tikhonov regularization of optimal Neumann boundary control problem for an ill-posed strongly nonlinear elliptic equation with an exponential type of non-linearity. (English) Zbl 1463.49012 Differ. Integral Equ. 33, No. 3-4, 139-162 (2020). MSC: 49J20 49K20 58J37 PDFBibTeX XMLCite \textit{R. Manzo}, Differ. Integral Equ. 33, No. 3--4, 139--162 (2020; Zbl 1463.49012)
Alimov, M. M.; Kornev, K. G. An external meniscus on a thin fiber whose profile has separate rectification points. (English. Russian original) Zbl 1440.76018 Russ. Math. 64, No. 1, 1-7 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 1, 3-10 (2020). MSC: 76B45 74F10 74P10 74L15 53A10 49Q10 PDFBibTeX XMLCite \textit{M. M. Alimov} and \textit{K. G. Kornev}, Russ. Math. 64, No. 1, 1--7 (2020; Zbl 1440.76018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 1, 3--10 (2020) Full Text: DOI
Cozzi, Matteo; Valdinoci, Enrico On the growth of nonlocal catenoids. (English) Zbl 1439.49072 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 1, 237-248 (2020). MSC: 49Q05 53A10 35R11 PDFBibTeX XMLCite \textit{M. Cozzi} and \textit{E. Valdinoci}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 1, 237--248 (2020; Zbl 1439.49072) Full Text: DOI arXiv
Lund, Ross G.; Muratov, Cyrill B.; Slastikov, Valeriy V. Edge domain walls in ultrathin exchange-biased films. (English) Zbl 1434.82089 J. Nonlinear Sci. 30, No. 3, 1165-1205 (2020). MSC: 82D40 49S05 PDFBibTeX XMLCite \textit{R. G. Lund} et al., J. Nonlinear Sci. 30, No. 3, 1165--1205 (2020; Zbl 1434.82089) Full Text: DOI arXiv
Neureither, Lara; Hartmann, Carsten Time scales and exponential trend to equilibrium: Gaussian model problems. (English) Zbl 1442.82024 Giacomin, Giambattista (ed.) et al., Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Cham: Springer. Springer Proc. Math. Stat. 282, 391-410 (2019). MSC: 82C31 60J60 60F10 65C40 65C05 60J22 49J55 35Q84 93E20 PDFBibTeX XMLCite \textit{L. Neureither} and \textit{C. Hartmann}, Springer Proc. Math. Stat. 282, 391--410 (2019; Zbl 1442.82024) Full Text: DOI
Kurina, Galina Projector approach to constructing asymptotic solution of initial value problems for singularly perturbed systems in critical case. (English) Zbl 1432.49049 Axioms 8, No. 2, Paper No. 56, 10 p. (2019). MSC: 49N10 49M25 PDFBibTeX XMLCite \textit{G. Kurina}, Axioms 8, No. 2, Paper No. 56, 10 p. (2019; Zbl 1432.49049) Full Text: DOI
Manzo, Rosanna On Neumann boundary control problem for ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of nonlinearity. (English) Zbl 1430.49026 Ric. Mat. 68, No. 2, 769-802 (2019). MSC: 49K20 49J20 58J37 35J60 35J25 PDFBibTeX XMLCite \textit{R. Manzo}, Ric. Mat. 68, No. 2, 769--802 (2019; Zbl 1430.49026) Full Text: DOI
Larson, Simon Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains. (English) Zbl 1425.35126 J. Spectr. Theory 9, No. 3, 857-895 (2019); erratum ibid. 11, No. 4, 1987-1991 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P15 47A75 49Q10 35S05 PDFBibTeX XMLCite \textit{S. Larson}, J. Spectr. Theory 9, No. 3, 857--895 (2019; Zbl 1425.35126) Full Text: DOI arXiv
Zhang, Erchuan; Noakes, Lyle Optimal interpolants on Grassmann manifolds. (English) Zbl 1422.53009 Math. Control Signals Syst. 31, No. 3, 363-383 (2019). MSC: 53A17 53B20 53Z05 51P05 49Q99 49K15 PDFBibTeX XMLCite \textit{E. Zhang} and \textit{L. Noakes}, Math. Control Signals Syst. 31, No. 3, 363--383 (2019; Zbl 1422.53009) Full Text: DOI
Agrachev, A. A. Spectrum of the second variation. (English. Russian original) Zbl 1422.49043 Proc. Steklov Inst. Math. 304, 26-41 (2019); translation from Tr. Mat. Inst. Steklova 304, 32-48 (2019). MSC: 49R05 49K21 47A13 PDFBibTeX XMLCite \textit{A. A. Agrachev}, Proc. Steklov Inst. Math. 304, 26--41 (2019; Zbl 1422.49043); translation from Tr. Mat. Inst. Steklova 304, 32--48 (2019) Full Text: DOI arXiv
Domínguez-Vázquez, Miguel; Enciso, Alberto; Peralta-Salas, Daniel Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities. (English) Zbl 1418.35280 Adv. Math. 351, 718-760 (2019). MSC: 35N25 49Q10 58J05 58J32 58J37 35J61 PDFBibTeX XMLCite \textit{M. Domínguez-Vázquez} et al., Adv. Math. 351, 718--760 (2019; Zbl 1418.35280) Full Text: DOI arXiv
Thorpe, Matthew; Theil, Florian Asymptotic analysis of the Ginzburg-Landau functional on point clouds. (English) Zbl 1417.49013 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 387-427 (2019). MSC: 49J45 49J55 62G20 PDFBibTeX XMLCite \textit{M. Thorpe} and \textit{F. Theil}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 387--427 (2019; Zbl 1417.49013) Full Text: DOI arXiv
Kogut, Peter I.; Kupenko, Olha P. On optimal control problem for an ill-posed strongly nonlinear elliptic equation with \(p\)-Laplace operator and \(L^1\)-type of nonlinearity. (English) Zbl 1410.49019 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1273-1295 (2019). MSC: 49K20 49J20 58J37 PDFBibTeX XMLCite \textit{P. I. Kogut} and \textit{O. P. Kupenko}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1273--1295 (2019; Zbl 1410.49019) Full Text: DOI
Cherkasov, Oleg; Zarodnyuk, Alena; Smirnova, Nina Optimal thrust programming along the brachistochronic trajectory with non-linear drag. (English) Zbl 1462.49061 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 1, 1-6 (2019). MSC: 49N35 70K05 30E25 45M05 PDFBibTeX XMLCite \textit{O. Cherkasov} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 1, 1--6 (2019; Zbl 1462.49061) Full Text: DOI
Herrmann, Michael; Matthies, Karsten Nonlinear and Nonlocal Eigenvalue Problems. arXiv:1911.06018 Preprint, arXiv:1911.06018 [math-ph] (2019). MSC: 45G10 45M05 47J10 49R05 BibTeX Cite \textit{M. Herrmann} and \textit{K. Matthies}, ``Nonlinear and Nonlocal Eigenvalue Problems'', Preprint, arXiv:1911.06018 [math-ph] (2019) Full Text: arXiv OA License
Barilari, Davide; Boarotto, Francesco Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature. (English) Zbl 1401.58012 J. Evol. Equ. 18, No. 3, 1115-1146 (2018). MSC: 58J35 49K20 PDFBibTeX XMLCite \textit{D. Barilari} and \textit{F. Boarotto}, J. Evol. Equ. 18, No. 3, 1115--1146 (2018; Zbl 1401.58012) Full Text: DOI arXiv
Akhmetzianov, A. V.; Kushner, A. G.; Lychagin, V. V. Optimal management of oil field development in the Buckley-Leverett model. (English. Russian original) Zbl 1401.49038 Autom. Remote Control 79, No. 4, 641-654 (2018); translation from Avtom. Telemekh. 2018, No. 4, 75-91 (2018). MSC: 49M30 49S05 49N90 90C15 PDFBibTeX XMLCite \textit{A. V. Akhmetzianov} et al., Autom. Remote Control 79, No. 4, 641--654 (2018; Zbl 1401.49038); translation from Avtom. Telemekh. 2018, No. 4, 75--91 (2018) Full Text: DOI
Pereira, Marcone C.; Rossi, Julio D. An obstacle problem for nonlocal equations in perforated domains. (English) Zbl 1398.45001 Potential Anal. 48, No. 3, 361-373 (2018). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 45A05 45M05 49J40 PDFBibTeX XMLCite \textit{M. C. Pereira} and \textit{J. D. Rossi}, Potential Anal. 48, No. 3, 361--373 (2018; Zbl 1398.45001) Full Text: DOI
Bamler, Richard H. Long-time behavior of 3-dimensional Ricci flow. D: Proof of the main results. (English) Zbl 1388.53061 Geom. Topol. 22, No. 2, 949-1068 (2018). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C44 49Q05 53C23 57M15 57M20 PDFBibTeX XMLCite \textit{R. H. Bamler}, Geom. Topol. 22, No. 2, 949--1068 (2018; Zbl 1388.53061) Full Text: DOI arXiv
Bamler, Richard H. Long-time behavior of 3-dimensional Ricci flow: introduction. (English) Zbl 1388.53057 Geom. Topol. 22, No. 2, 757-774 (2018). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C44 49Q05 53C23 57M15 57M20 57M50 PDFBibTeX XMLCite \textit{R. H. Bamler}, Geom. Topol. 22, No. 2, 757--774 (2018; Zbl 1388.53057) Full Text: DOI arXiv
Kurina, Galina; Hoai, Nguyen Thi First asymptotic approximations to a solution of singularly perturbed optimal control problem with intersecting solutions of degenerate problem. (English) Zbl 1410.49028 Appl. Math. Comput. 292, 356-374 (2017). MSC: 49K40 PDFBibTeX XMLCite \textit{G. Kurina} and \textit{N. T. Hoai}, Appl. Math. Comput. 292, 356--374 (2017; Zbl 1410.49028) Full Text: DOI
Rizzi, Luca; Serres, Ulysse On the cut locus of free, step two Carnot groups. (English) Zbl 1397.53048 Proc. Am. Math. Soc. 145, No. 12, 5341-5357 (2017). Reviewer: Yuri Sachkov (Pereslavl-Zalessky) MSC: 53C17 49J15 PDFBibTeX XMLCite \textit{L. Rizzi} and \textit{U. Serres}, Proc. Am. Math. Soc. 145, No. 12, 5341--5357 (2017; Zbl 1397.53048) Full Text: DOI arXiv
Minlend, Ignace Aristide Existence of self-Cheeger sets on Riemannian manifolds. (English) Zbl 1378.49048 Arch. Math. 109, No. 4, 393-400 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q10 58J05 58J32 58J37 35N10 35N25 49Q15 PDFBibTeX XMLCite \textit{I. A. Minlend}, Arch. Math. 109, No. 4, 393--400 (2017; Zbl 1378.49048) Full Text: DOI arXiv
Chekhonadskikh, Alexander Vasil’evich Some classical number sequences in control system design. (English) Zbl 1369.93221 Sib. Èlektron. Mat. Izv. 14, 620-628 (2017). MSC: 93B55 93C05 34E10 49N35 11B39 PDFBibTeX XMLCite \textit{A. V. Chekhonadskikh}, Sib. Èlektron. Mat. Izv. 14, 620--628 (2017; Zbl 1369.93221) Full Text: DOI
Kallsen, Jan; Muhle-Karbe, Johannes The general structure of optimal investment and consumption with small transaction costs. (English) Zbl 1423.91006 Math. Finance 27, No. 3, 659-703 (2017). MSC: 91G10 49K99 PDFBibTeX XMLCite \textit{J. Kallsen} and \textit{J. Muhle-Karbe}, Math. Finance 27, No. 3, 659--703 (2017; Zbl 1423.91006) Full Text: DOI arXiv
Kovařík, Hynek; Pankrashkin, Konstantin On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems. (English) Zbl 1375.49063 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 49, 29 p. (2017). Reviewer: Chie-Ping Chu (Taipei) MSC: 49R05 35P30 58C40 PDFBibTeX XMLCite \textit{H. Kovařík} and \textit{K. Pankrashkin}, Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 49, 29 p. (2017; Zbl 1375.49063) Full Text: DOI arXiv
Kumar, Rohini; Popovic, Lea Large deviations for multi-scale jump-diffusion processes. (English) Zbl 1358.60047 Stochastic Processes Appl. 127, No. 4, 1297-1320 (2017); corrigendum ibid. 128, No. 12, 4326-4329 (2018). MSC: 60F10 60J75 49L25 PDFBibTeX XMLCite \textit{R. Kumar} and \textit{L. Popovic}, Stochastic Processes Appl. 127, No. 4, 1297--1320 (2017; Zbl 1358.60047) Full Text: DOI arXiv
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods. (English) Zbl 1361.35076 Kinet. Relat. Models 10, No. 1, 61-91 (2017). MSC: 35K55 35B40 49K30 26D10 35B06 46E35 49K20 35J20 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Kinet. Relat. Models 10, No. 1, 61--91 (2017; Zbl 1361.35076) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization. (English) Zbl 1386.35174 J. Elliptic Parabol. Equ. 2, No. 1-2, 267-295 (2016). MSC: 35K55 35B06 49K30 35J60 35J20 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Elliptic Parabol. Equ. 2, No. 1--2, 267--295 (2016; Zbl 1386.35174) Full Text: DOI arXiv
Calderer, M. Carme; Golovaty, Dmitry; Lavrentovich, Oleg; Walkington, Noel J. Modeling of nematic electrolytes and nonlinear electroosmosis. (English) Zbl 1358.35109 SIAM J. Appl. Math. 76, No. 6, 2260-2285 (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 74E10 49J40 74A20 80M30 PDFBibTeX XMLCite \textit{M. C. Calderer} et al., SIAM J. Appl. Math. 76, No. 6, 2260--2285 (2016; Zbl 1358.35109) Full Text: DOI arXiv
Kogut, Peter I.; Manzo, Rosanna; Putchenko, Anna O. On approximate solutions to the Neumann elliptic boundary value problem with non-linearity of exponential type. (English) Zbl 1354.35051 Bound. Value Probl. 2016, Paper No. 208, 32 p. (2016). MSC: 35J66 35D30 35B20 49J20 49K20 58J37 PDFBibTeX XMLCite \textit{P. I. Kogut} et al., Bound. Value Probl. 2016, Paper No. 208, 32 p. (2016; Zbl 1354.35051) Full Text: DOI
Randhawa, Ramandeep S. Optimality gap of asymptotically derived prescriptions in queueing systems, \(o(1)\)-optimality. (English) Zbl 1342.60158 Queueing Syst. 83, No. 1-2, 131-155 (2016). MSC: 60K25 49K45 90B22 68M20 PDFBibTeX XMLCite \textit{R. S. Randhawa}, Queueing Syst. 83, No. 1--2, 131--155 (2016; Zbl 1342.60158) Full Text: DOI arXiv
Kozlov, Vladimir; Thim, Johan Hadamard type asymptotics for eigenvalues of the Neumann problem for elliptic operators. (English) Zbl 1338.35307 J. Spectr. Theory 6, No. 1, 99-135 (2016). MSC: 35P05 47A75 49R05 47A55 PDFBibTeX XMLCite \textit{V. Kozlov} and \textit{J. Thim}, J. Spectr. Theory 6, No. 1, 99--135 (2016; Zbl 1338.35307) Full Text: DOI arXiv
Jimbo, Shuichi; Ushikoshi, Erika Hadamard variational formula for the multiple eigenvalues of the Stokes operator with the Dirichlet boundary conditions. (English) Zbl 1334.76041 Far East J. Math. Sci. (FJMS) 98, No. 6, 713-739 (2015). MSC: 76D07 58J37 49R05 PDFBibTeX XMLCite \textit{S. Jimbo} and \textit{E. Ushikoshi}, Far East J. Math. Sci. (FJMS) 98, No. 6, 713--739 (2015; Zbl 1334.76041) Full Text: DOI Link
Grass, Dieter; Kiseleva, Tatiana; Wagener, Florian Small-noise asymptotics of Hamilton-Jacobi-Bellman equations and bifurcations of stochastic optimal control problems. (English) Zbl 1334.93181 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 38-54 (2015). MSC: 93E20 49J55 93C73 49L99 60H15 35R60 PDFBibTeX XMLCite \textit{D. Grass} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 38--54 (2015; Zbl 1334.93181) Full Text: DOI
Thim, Johan Asymptotics of Hadamard type for eigenvalues of the Neumann problem on \(C^1\)-domains for elliptic operators. (English) Zbl 1336.35262 Anal. PDE 8, No. 7, 1695-1706 (2015). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P05 47A55 47A75 49R05 PDFBibTeX XMLCite \textit{J. Thim}, Anal. PDE 8, No. 7, 1695--1706 (2015; Zbl 1336.35262) Full Text: DOI arXiv
Bekerman, F.; Figalli, A.; Guionnet, A. Transport maps for \(\beta\)-matrix models and universality. (English) Zbl 1330.49046 Commun. Math. Phys. 338, No. 2, 589-619 (2015). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 31B15 60B20 PDFBibTeX XMLCite \textit{F. Bekerman} et al., Commun. Math. Phys. 338, No. 2, 589--619 (2015; Zbl 1330.49046) Full Text: DOI arXiv
Ekholm, Tomas; Frank, Rupert L.; Kovařík, Hynek Weak perturbations of the \(p\)-Laplacian. (English) Zbl 1322.49076 Calc. Var. Partial Differ. Equ. 53, No. 3-4, 781-801 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 49R05 35P30 49J45 35J92 47A75 PDFBibTeX XMLCite \textit{T. Ekholm} et al., Calc. Var. Partial Differ. Equ. 53, No. 3--4, 781--801 (2015; Zbl 1322.49076) Full Text: DOI arXiv
Dipierro, Serena Asymptotics of fractional perimeter functionals and related problems. (English) Zbl 1361.49017 Rend. Semin. Mat., Univ. Politec. Torino 72, No. 1-2, 3-16 (2014). MSC: 49Q05 28A75 49Q20 60G22 PDFBibTeX XMLCite \textit{S. Dipierro}, Rend. Semin. Mat., Univ. Politec. Torino 72, No. 1--2, 3--16 (2014; Zbl 1361.49017)
Al-Aidarous, Eman S.; Alzahrani, Ebraheem O.; Ishii, Hitoshi; Younas, Arshad M. M. Asymptotic analysis for the eikonal equation with the dynamical boundary conditions. (English) Zbl 1304.35046 Math. Nachr. 287, No. 14-15, 1563-1588 (2014). MSC: 35B25 35F21 35B40 35D40 35F31 49L25 PDFBibTeX XMLCite \textit{E. S. Al-Aidarous} et al., Math. Nachr. 287, No. 14--15, 1563--1588 (2014; Zbl 1304.35046) Full Text: DOI
Pankrashkin, Konstantin On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains. (English) Zbl 1386.35302 Nanosyst., Phys. Chem. Math. 4, No. 4, 474-483 (2013). MSC: 35P15 35J05 49R05 58C40 PDFBibTeX XMLCite \textit{K. Pankrashkin}, Nanosyst., Phys. Chem. Math. 4, No. 4, 474--483 (2013; Zbl 1386.35302) Full Text: arXiv
Dmitriev, M. G.; Sachkov, Yu. L. Asymptotic solution of a singularly perturbed optimal control problem related to the reconstruction of a defective curve. (English. Russian original) Zbl 1298.49004 Differ. Equ. 49, No. 11, 1347-1355 (2013); translation from Differ. Uravn. 49, No. 11, 1381-1389 (2013). Reviewer: Bozhidar Cheshankov (Sofia) MSC: 49J15 PDFBibTeX XMLCite \textit{M. G. Dmitriev} and \textit{Yu. L. Sachkov}, Differ. Equ. 49, No. 11, 1347--1355 (2013; Zbl 1298.49004); translation from Differ. Uravn. 49, No. 11, 1381--1389 (2013) Full Text: DOI
Mashtakov, A. P.; Popov, A. Yu. Asymptotics of Maxwell time in the plate-ball problem. (English. Russian original) Zbl 1284.49024 J. Math. Sci., New York 195, No. 3, 336-368 (2013); translation from Sovrem. Mat. Prilozh. 82 (2012). MSC: 49K15 70B10 93B27 PDFBibTeX XMLCite \textit{A. P. Mashtakov} and \textit{A. Yu. Popov}, J. Math. Sci., New York 195, No. 3, 336--368 (2013; Zbl 1284.49024); translation from Sovrem. Mat. Prilozh. 82 (2012) Full Text: DOI arXiv
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. (English) Zbl 1274.92025 ESAIM, Math. Model. Numer. Anal. 47, No. 2, 377-399 (2013). MSC: 92C50 35B25 45M05 49L25 92D15 PDFBibTeX XMLCite \textit{A. Lorz} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 2, 377--399 (2013; Zbl 1274.92025) Full Text: DOI arXiv
Cardone, Giuseppe; Nazarov, Sergei A.; Ruotsalainen, Keijo Bound states of a converging quantum waveguide. (English) Zbl 1333.35131 ESAIM, Math. Model. Numer. Anal. 47, No. 1, 305-315 (2013). MSC: 35P15 47A75 49R05 PDFBibTeX XMLCite \textit{G. Cardone} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 1, 305--315 (2013; Zbl 1333.35131) Full Text: DOI
Hudson, Thomas \(\Gamma\)-expansion for a 1D confined Lennard-Jones model with point defect. (English) Zbl 1270.49011 Netw. Heterog. Media 8, No. 2, 501-527 (2013). Reviewer: Jan Lovíšek (Bratislava) MSC: 49J45 70C20 74B20 74G65 74Q15 PDFBibTeX XMLCite \textit{T. Hudson}, Netw. Heterog. Media 8, No. 2, 501--527 (2013; Zbl 1270.49011) Full Text: DOI arXiv
Abdullaev, V. M.; Aida-Zade, K. R. On the numerical solution to optimal control problems with nonseparated multipoint and integral conditions. (Russian, English) Zbl 1274.45013 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 12, 2163-2177 (2012); translation in Comput. Math. Math. Phys. 52, No. 12, 1331-1341 (2012). Reviewer: Andrei Zemskov (Moskva) MSC: 45M05 49K15 PDFBibTeX XMLCite \textit{V. M. Abdullaev} and \textit{K. R. Aida-Zade}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 12, 2163--2177 (2012; Zbl 1274.45013); translation in Comput. Math. Math. Phys. 52, No. 12, 1331--1341 (2012) Full Text: MNR
Camilli, Fabio; Ley, Olivier; Loreti, Paola; Nguyen, Vinh Duc Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations. (English) Zbl 1254.49016 NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 6, 719-749 (2012). MSC: 49L25 35F30 35B25 58J37 PDFBibTeX XMLCite \textit{F. Camilli} et al., NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 6, 719--749 (2012; Zbl 1254.49016) Full Text: DOI arXiv
Bensoussan, Alain; Jasso-Fuentes, Héctor; Menozzi, Stéphane; Mertz, Laurent Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps. (English) Zbl 1261.60067 Asymptotic Anal. 80, No. 1-2, 171-187 (2012). Reviewer: Vivek S. Borkar (Mumbai) MSC: 60H30 49J40 35K85 74H50 58E35 34E10 PDFBibTeX XMLCite \textit{A. Bensoussan} et al., Asymptotic Anal. 80, No. 1--2, 171--187 (2012; Zbl 1261.60067) Full Text: DOI arXiv
Lin, Fanghua; Pan, Xing-Bin; Wang, Changyou Phase transition for potentials of high-dimensional wells. (English) Zbl 1248.49059 Commun. Pure Appl. Math. 65, No. 6, 833-888 (2012). MSC: 49Q20 PDFBibTeX XMLCite \textit{F. Lin} et al., Commun. Pure Appl. Math. 65, No. 6, 833--888 (2012; Zbl 1248.49059) Full Text: DOI
Goodman, Jonathan; Ostrov, Daniel N. An option to reduce transaction costs. (English) Zbl 1236.91127 SIAM J. Financ. Math. 2, 512-537 (2011). MSC: 91G10 91G80 49K10 41A60 PDFBibTeX XMLCite \textit{J. Goodman} and \textit{D. N. Ostrov}, SIAM J. Financ. Math. 2, 512--537 (2011; Zbl 1236.91127) Full Text: DOI Link
Danilin, A. R.; Parysheva, Yu. V. On the asymptotics of the optimal value of the performance functional in a linear optimal control problem. (English. Russian original) Zbl 1230.49037 Differ. Equ. 47, No. 4, 560-570 (2011); translation from Differ. Uravn. 47, No. 4, 560-570 (2011). MSC: 49N60 93C05 34H05 49M30 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{Yu. V. Parysheva}, Differ. Equ. 47, No. 4, 560--570 (2011; Zbl 1230.49037); translation from Differ. Uravn. 47, No. 4, 560--570 (2011) Full Text: DOI
Grandits, Peter; Thonhauser, Stefan Risk averse asymptotics in a Black–Scholes market on a finite time horizon. (English) Zbl 1232.49046 Math. Methods Oper. Res. 74, No. 1, 21-40 (2011). MSC: 49N90 91G10 PDFBibTeX XMLCite \textit{P. Grandits} and \textit{S. Thonhauser}, Math. Methods Oper. Res. 74, No. 1, 21--40 (2011; Zbl 1232.49046) Full Text: DOI
Bouchitté, Guy; Jimenez, Chloé; Mahadevan, Rajesh Asymptotic analysis of a class of optimal location problems. (English) Zbl 1217.49035 J. Math. Pures Appl. (9) 95, No. 4, 382-419 (2011). MSC: 49Q20 PDFBibTeX XMLCite \textit{G. Bouchitté} et al., J. Math. Pures Appl. (9) 95, No. 4, 382--419 (2011; Zbl 1217.49035) Full Text: DOI Link
Noh, Eun-Jung; Kim, Jeong-Hoon An optimal portfolio model with stochastic volatility and stochastic interest rate. (English) Zbl 1202.91302 J. Math. Anal. Appl. 375, No. 2, 510-522 (2011). MSC: 91G10 49L20 93E20 PDFBibTeX XMLCite \textit{E.-J. Noh} and \textit{J.-H. Kim}, J. Math. Anal. Appl. 375, No. 2, 510--522 (2011; Zbl 1202.91302) Full Text: DOI
Kurina, G. A.; Smirnova, E. V. Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters. (English. Russian original) Zbl 1301.49048 J. Math. Sci., New York 170, No. 2, 192-228 (2010); translation from Sovrem. Mat., Fundam. Napravl. 34, 63-99 (2009). MSC: 49K15 49J15 49N99 PDFBibTeX XMLCite \textit{G. A. Kurina} and \textit{E. V. Smirnova}, J. Math. Sci., New York 170, No. 2, 192--228 (2010; Zbl 1301.49048); translation from Sovrem. Mat., Fundam. Napravl. 34, 63--99 (2009) Full Text: DOI
Dal Maso, Gianni; Solombrino, Francesco Quasistatic evolution for Cam-Clay plasticity: the spatially homogeneous case. (English) Zbl 1263.74014 Netw. Heterog. Media 5, No. 1, 97-132 (2010). MSC: 74C05 74L10 49L25 34E10 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{F. Solombrino}, Netw. Heterog. Media 5, No. 1, 97--132 (2010; Zbl 1263.74014) Full Text: DOI
Danilin, A. R.; Parysheva, Yu. V. Asymptotics of the optimal cost functional in a linear optimal control problem. (English. Russian original) Zbl 1190.49039 Dokl. Math. 80, No. 1, 478-481 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 151-154 (2009). MSC: 49M30 90C25 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{Yu. V. Parysheva}, Dokl. Math. 80, No. 1, 478--481 (2009; Zbl 1190.49039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 151--154 (2009) Full Text: DOI
Imbert, Cyril; Souganidis, Panagiotis E. Phasefield theory for fractional diffusion-reaction equations and applications. arXiv:0907.5524 Preprint, arXiv:0907.5524 [math.AP] (2009). MSC: 34E10 45G05 45K05 47G20 49L25 53C44 BibTeX Cite \textit{C. Imbert} and \textit{P. E. Souganidis}, ``Phasefield theory for fractional diffusion-reaction equations and applications'', Preprint, arXiv:0907.5524 [math.AP] (2009) Full Text: arXiv OA License
Cattiaux, Patrick; Pra, Paolo Dai; Rœlly, Sylvie A constructive approach to a class of ergodic HJB equations with unbounded and nonsmooth cost. (English) Zbl 1179.47039 SIAM J. Control Optim. 47, No. 5, 2598-2615 (2008). Reviewer: Liliana Popa (Iaşi) MSC: 47D07 49L25 60H10 60J35 60J60 93E20 PDFBibTeX XMLCite \textit{P. Cattiaux} et al., SIAM J. Control Optim. 47, No. 5, 2598--2615 (2008; Zbl 1179.47039) Full Text: DOI Link
Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. Limit time optimal synthesis for a control-affine system on \(S^2\). (English) Zbl 1162.49002 SIAM J. Control Optim. 47, No. 1, 111-143 (2008). MSC: 49J15 49N90 PDFBibTeX XMLCite \textit{P. Mason} et al., SIAM J. Control Optim. 47, No. 1, 111--143 (2008; Zbl 1162.49002) Full Text: DOI arXiv
Alekseev, A. B.; Birman, M. Sh.; Filonov, N. D. Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint. (English. Russian original) Zbl 1260.35092 St. Petersbg. Math. J. 18, No. 5, 681-697 (2007); translation from Algebra Anal. 18, No. 5, 1-22 (2006). MSC: 35P20 35S05 47F05 47G30 49J52 PDFBibTeX XMLCite \textit{A. B. Alekseev} et al., St. Petersbg. Math. J. 18, No. 5, 681--697 (2007; Zbl 1260.35092); translation from Algebra Anal. 18, No. 5, 1--22 (2006) Full Text: DOI
Davini, Andrea; Siconolfi, Antonio A generalized dynamical approach to the large time behavior of solutions of Hamilton–Jacobi equations. (English) Zbl 1109.49034 SIAM J. Math. Anal. 38, No. 2, 478-502 (2006). MSC: 49L25 35B40 58J37 37J50 PDFBibTeX XMLCite \textit{A. Davini} and \textit{A. Siconolfi}, SIAM J. Math. Anal. 38, No. 2, 478--502 (2007; Zbl 1109.49034) Full Text: DOI Link
Yip, Nung Kwan Structure of stable solutions of a one-dimensional variational problem. (English) Zbl 1117.49025 ESAIM, Control Optim. Calc. Var. 12, 721-751 (2006). Reviewer: Jong Yeoul Park (Pusan) MSC: 49K30 49J45 34E10 35J20 49N60 74G65 74N99 PDFBibTeX XMLCite \textit{N. K. Yip}, ESAIM, Control Optim. Calc. Var. 12, 721--751 (2006; Zbl 1117.49025) Full Text: DOI Numdam EuDML
Méhats, Florian Analysis of a quantum subband model for the transport of partially confined charged particles. (English) Zbl 1092.35092 Monatsh. Math. 147, No. 1, 43-73 (2006). MSC: 35Q40 35Q55 82D37 49K20 82C70 PDFBibTeX XMLCite \textit{F. Méhats}, Monatsh. Math. 147, No. 1, 43--73 (2006; Zbl 1092.35092) Full Text: DOI
Hebey, Emmanuel; Saintier, Nicolas Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian. (English) Zbl 1099.58012 Arch. Math. 86, No. 4, 340-351 (2006). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 49Q20 58J37 PDFBibTeX XMLCite \textit{E. Hebey} and \textit{N. Saintier}, Arch. Math. 86, No. 4, 340--351 (2006; Zbl 1099.58012) Full Text: DOI arXiv
Li, Bo Variational properties of unbounded order parameters. (English) Zbl 1147.49012 SIAM J. Math. Anal. 38, No. 1, 16-36 (2006). MSC: 49J45 49S05 74G65 PDFBibTeX XMLCite \textit{B. Li}, SIAM J. Math. Anal. 38, No. 1, 16--36 (2006; Zbl 1147.49012) Full Text: DOI Link
He, Ji-Huan Some asymptotic methods for strongly nonlinear equations. (English) Zbl 1102.34039 Int. J. Mod. Phys. B 20, No. 10, 1141-1199 (2006). Reviewer: Svitlana P. Rogovchenko (Famagusta) MSC: 34E10 34A34 34E05 34E13 49J40 01A25 PDFBibTeX XMLCite \textit{J.-H. He}, Int. J. Mod. Phys. B 20, No. 10, 1141--1199 (2006; Zbl 1102.34039) Full Text: DOI
Noakes, Lyle; Popiel, Tomasz Null Riemannian cubics in tension in SO(3). (English) Zbl 1120.58012 IMA J. Math. Control Inf. 22, No. 4, 477-488 (2005). MSC: 58E25 49J27 PDFBibTeX XMLCite \textit{L. Noakes} and \textit{T. Popiel}, IMA J. Math. Control Inf. 22, No. 4, 477--488 (2005; Zbl 1120.58012) Full Text: DOI
Kapustyan, V. E.; Shamaev, E. V. Optimal control of the order of asymptotics for elliptic equations with fast oscillating coefficients. II: Substantiation of asymptotic expansions. (English. Russian original) Zbl 1118.49019 Cybern. Syst. Anal. 41, No. 3, 374-384 (2005); translation from Kibern. Sist. Anal. 2005, No. 3, 69-80 (2005). MSC: 49K20 49M30 PDFBibTeX XMLCite \textit{V. E. Kapustyan} and \textit{E. V. Shamaev}, Cybern. Syst. Anal. 41, No. 3, 374--384 (2005; Zbl 1118.49019); translation from Kibern. Sist. Anal. 2005, No. 3, 69--80 (2005) Full Text: DOI
Bonnaillie, Virginie On the fundamental state energy for a Schrödinger operator with magnetic field in domains with corners. (English) Zbl 1067.35054 Asymptotic Anal. 41, No. 3-4, 215-258 (2005). MSC: 35P15 35Q55 82D55 49J27 58E50 PDFBibTeX XMLCite \textit{V. Bonnaillie}, Asymptotic Anal. 41, No. 3--4, 215--258 (2005; Zbl 1067.35054)
Kapustyan, V. E.; Shamaev, E. V. Optimal control of the order of asymptotics for elliptic equations with fast oscillating coefficients. I: Formal constructions. (English. Russian original) Zbl 1084.49023 Cybern. Syst. Anal. 40, No. 5, 699-709 (2004); translation from Kibern. Sist. Anal. 2004, No. 5, 84-95 (2004). Reviewer: Ovidiu Cârjă (Iaşi) MSC: 49K20 49J20 93C70 PDFBibTeX XMLCite \textit{V. E. Kapustyan} and \textit{E. V. Shamaev}, Cybern. Syst. Anal. 40, No. 5, 699--709 (2004; Zbl 1084.49023); translation from Kibern. Sist. Anal. 2004, No. 5, 84--95 (2004) Full Text: DOI
Fatalov, V. R. Point asymptotics for probabilities of large deviations of the \(\omega^2\) statistics in verification of the symmetry hypothesis. (English. Russian original) Zbl 1071.62044 Probl. Inf. Transm. 40, No. 3, 212-225 (2004); translation from Probl. Peredachi Inf. 40, No. 3, 33-48 (2004). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 62G20 60F10 62G30 49N90 34B24 PDFBibTeX XMLCite \textit{V. R. Fatalov}, Probl. Inf. Transm. 40, No. 3, 212--225 (2004; Zbl 1071.62044); translation from Probl. Peredachi Inf. 40, No. 3, 33--48 (2004) Full Text: DOI
Malisoff, Michael Further results on the bellman equation for optimal control problems with exit times and nonnegative lagrangians. (English) Zbl 1157.49309 Syst. Control Lett. 50, No. 1, 65-79 (2003). MSC: 49L25 35B37 93C15 PDFBibTeX XMLCite \textit{M. Malisoff}, Syst. Control Lett. 50, No. 1, 65--79 (2003; Zbl 1157.49309) Full Text: DOI
Samet, Bessem; Amstutz, Samuel; Masmoudi, Mohamed The topological asymptotic for the Helmholtz equation. (English) Zbl 1051.49029 SIAM J. Control Optimization 42, No. 5, 1523-1544 (2003). MSC: 49Q10 49Q12 78A50 35J05 PDFBibTeX XMLCite \textit{B. Samet} et al., SIAM J. Control Optim. 42, No. 5, 1523--1544 (2003; Zbl 1051.49029) Full Text: DOI
Levi, Mark Lectures on geometrical methods in mechanics. (English) Zbl 1071.70010 Cabral, Hildeberto (ed.) et al., Classical and celestial mechanics: the Recife lectures. Princeton, NJ: Princeton University Press (ISBN 0-691-05022-8/hbk). 239-280 (2002). Reviewer: Marco Modugno (Firenze) MSC: 70G75 70H30 49S05 PDFBibTeX XMLCite \textit{M. Levi}, in: Classical and celestial mechanics: the Recife lectures. Princeton, NJ: Princeton University Press. 239--280 (2002; Zbl 1071.70010)
Dmitriev, M. G.; Konyaev, Yu. A. The Birkhoff-type asymptotics of some singularly perturbed optimal control problems. (Russian. English summary) Zbl 1026.49026 Mat. Model. 14, No. 3, 27-29 (2002). MSC: 49N10 PDFBibTeX XMLCite \textit{M. G. Dmitriev} and \textit{Yu. A. Konyaev}, Mat. Model. 14, No. 3, 27--29 (2002; Zbl 1026.49026) Full Text: MNR
Cabot, Alexandre; Czarnecki, Marc-Olivier Asymptotic control of pairs of oscillators coupled by a repulsion, with nonisolated equilibria. I: The regular case. (English) Zbl 1031.34057 SIAM J. Control Optimization 41, No. 4, 1254-1280 (2002). MSC: 34G20 37N40 34C15 37H05 34D05 34E10 49K15 70F99 PDFBibTeX XMLCite \textit{A. Cabot} and \textit{M.-O. Czarnecki}, SIAM J. Control Optim. 41, No. 4, 1254--1280 (2002; Zbl 1031.34057) Full Text: DOI
Kolokol’tsov, Vassili N. Small diffusion and fast dying out asymptotics for superprocesses as non-Hamiltonian quasiclassics for evolution equations. (English) Zbl 0981.60065 Electron. J. Probab. 6, Paper No. 21, 16 p. (2001). MSC: 60J25 60F10 35K57 49L99 PDFBibTeX XMLCite \textit{V. N. Kolokol'tsov}, Electron. J. Probab. 6, Paper No. 21, 16 p. (2001; Zbl 0981.60065) Full Text: EuDML EMIS
Illarionov, A. A. Asymptotics of solutions to the optimal control problem for time-independent Navier-Stokes equations. (English. Russian original) Zbl 0991.49003 Comput. Math. Math. Phys. 40, No. 7, 1017-1026 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1061-1070 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 49J20 35Q30 76D05 35B37 35B40 PDFBibTeX XMLCite \textit{A. A. Illarionov}, Comput. Math. Math. Phys. 40, No. 7, 1017--1026 (2000; Zbl 0991.49003); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1061--1070 (2000)
Kalinin, A. I. Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints. (English. Russian original) Zbl 0989.49006 Comput. Math. Math. Phys. 40, No. 1, 51-61 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 1, 54-64 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 49J15 49J45 49M99 65K10 93C73 93B40 PDFBibTeX XMLCite \textit{A. I. Kalinin}, Comput. Math. Math. Phys. 40, No. 1, 51--61 (2000; Zbl 0989.49006); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 1, 54--64 (2000)
Lewiński, Tomasz; Sokołowski, Jan Topological derivative for nucleation of non-circular voids. The Neumann problem. (English) Zbl 1050.49028 Gulliver, Robert (ed.) et al., Differential geometric methods in the control of partial differential equations. Proceedings of the 1999 AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27–July 01, 1999. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-1927-5/pbk). Contemp. Math. 268, 341-361 (2000). MSC: 49Q10 65K10 49K20 74K25 93C20 35J50 PDFBibTeX XMLCite \textit{T. Lewiński} and \textit{J. Sokołowski}, Contemp. Math. 268, 341--361 (2000; Zbl 1050.49028)
Grammel, G. On the Van-der-Pol oscillator with noisy nonlinearity. (English) Zbl 0961.34024 Nonlinearity 13, No. 4, 1343-1355 (2000). Reviewer: Henri Schurz (Minneapolis) MSC: 34C15 34C29 49J15 34D05 34E10 34E13 PDFBibTeX XMLCite \textit{G. Grammel}, Nonlinearity 13, No. 4, 1343--1355 (2000; Zbl 0961.34024) Full Text: DOI
Cominetti, R.; Alemany, O. Steepest descent evolution equations: asymptotic behavior of solutions and rate of convergence. (English) Zbl 0942.34055 Trans. Am. Math. Soc. 351, No. 12, 4847-4860 (1999). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 34H05 34D05 49M30 34E10 37L05 37N40 90C51 PDFBibTeX XMLCite \textit{R. Cominetti} and \textit{O. Alemany}, Trans. Am. Math. Soc. 351, No. 12, 4847--4860 (1999; Zbl 0942.34055) Full Text: DOI