Sodini, Giacomo Enrico The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson’s inequalities. (English) Zbl 07727384 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 212, 41 p. (2023). MSC: 46E36 49Q22 46B10 46B20 PDFBibTeX XMLCite \textit{G. E. Sodini}, Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 212, 41 p. (2023; Zbl 07727384) Full Text: DOI arXiv
Blauth, Sebastian Space mapping for PDE constrained shape optimization. (English) Zbl 1520.49019 SIAM J. Optim. 33, No. 3, 1707-1733 (2023). MSC: 49Q10 49M41 65K05 35Q93 PDFBibTeX XMLCite \textit{S. Blauth}, SIAM J. Optim. 33, No. 3, 1707--1733 (2023; Zbl 1520.49019) Full Text: DOI arXiv
Li, Wuchen; Zhao, Jiaxi Wasserstein information matrix. (English) Zbl 1521.94014 Inf. Geom. 6, No. 1, 203-255 (2023). Reviewer: Sorin-Mihai Grad (Paris) MSC: 94A15 94A17 62H10 62F10 49Q22 90C26 15B52 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. Zhao}, Inf. Geom. 6, No. 1, 203--255 (2023; Zbl 1521.94014) Full Text: DOI arXiv
Li, Wuchen Transport information geometry: Riemannian calculus on probability simplex. (English) Zbl 1493.49047 Inf. Geom. 5, No. 1, 161-207 (2022). MSC: 49Q22 90B06 94A15 PDFBibTeX XMLCite \textit{W. Li}, Inf. Geom. 5, No. 1, 161--207 (2022; Zbl 1493.49047) Full Text: DOI arXiv
Welker, Kathrin Suitable spaces for shape optimization. (English) Zbl 1477.49062 Appl. Math. Optim. 84, Suppl. 1, S869-S902 (2021). MSC: 49Q10 65K10 35Q93 PDFBibTeX XMLCite \textit{K. Welker}, Appl. Math. Optim. 84, S869--S902 (2021; Zbl 1477.49062) Full Text: DOI arXiv
Blauth, Sebastian Nonlinear conjugate gradient methods for PDE constrained shape optimization based on Steklov-Poincaré-type metrics. (English) Zbl 1468.49046 SIAM J. Optim. 31, No. 3, 1658-1689 (2021). MSC: 49Q10 49M05 35Q93 PDFBibTeX XMLCite \textit{S. Blauth}, SIAM J. Optim. 31, No. 3, 1658--1689 (2021; Zbl 1468.49046) Full Text: DOI arXiv
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin Stochastic approximation for optimization in shape spaces. (English) Zbl 1458.49034 SIAM J. Optim. 31, No. 1, 348-376 (2021). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R60 60H15 60H30 60H35 35R15 PDFBibTeX XMLCite \textit{C. Geiersbach} et al., SIAM J. Optim. 31, No. 1, 348--376 (2021; Zbl 1458.49034) Full Text: DOI arXiv
Arguillère, Sylvain Sub-Riemannian geometry and geodesics in Banach manifolds. (English) Zbl 1446.49021 J. Geom. Anal. 30, No. 3, 2897-2938 (2020). Reviewer: A. Omrane (Cayenne) MSC: 49K27 49K15 53C17 53C22 53D25 37K06 PDFBibTeX XMLCite \textit{S. Arguillère}, J. Geom. Anal. 30, No. 3, 2897--2938 (2020; Zbl 1446.49021) Full Text: DOI arXiv
Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus Landmark-guided elastic shape analysis of human character motions. (English) Zbl 1368.65028 Inverse Probl. Imaging 11, No. 4, 601-621 (2017). MSC: 65D18 58D10 49Q10 94A08 PDFBibTeX XMLCite \textit{M. Bauer} et al., Inverse Probl. Imaging 11, No. 4, 601--621 (2017; Zbl 1368.65028) Full Text: DOI arXiv
Bauer, Martin; Bruveris, Martins; Harms, Philipp; Møller-Andersen, Jakob A numerical framework for Sobolev metrics on the space of curves. (English) Zbl 1367.49021 SIAM J. Imaging Sci. 10, No. 1, 47-73 (2017). MSC: 49M25 58E50 68U05 PDFBibTeX XMLCite \textit{M. Bauer} et al., SIAM J. Imaging Sci. 10, No. 1, 47--73 (2017; Zbl 1367.49021) Full Text: DOI arXiv
Le Brigant, Alice Computing distances and geodesics between manifold-valued curves in the SRV framework. (English) Zbl 1366.58005 J. Geom. Mech. 9, No. 2, 131-156 (2017). MSC: 58D10 49Q10 62B10 53C22 53C42 PDFBibTeX XMLCite \textit{A. Le Brigant}, J. Geom. Mech. 9, No. 2, 131--156 (2017; Zbl 1366.58005) Full Text: DOI arXiv
Durán, Carlos; Otero, Diego The projective symplectic geometry of higher order variational problems: minimality conditions. (English) Zbl 1369.49024 J. Geom. Mech. 8, No. 3, 305-322 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 49K05 53D12 PDFBibTeX XMLCite \textit{C. Durán} and \textit{D. Otero}, J. Geom. Mech. 8, No. 3, 305--322 (2016; Zbl 1369.49024) Full Text: DOI arXiv
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander Shape analysis on Lie groups with applications in computer animation. (English) Zbl 1366.65018 J. Geom. Mech. 8, No. 3, 273-304 (2016). MSC: 65D17 65K10 49Q10 PDFBibTeX XMLCite \textit{E. Celledoni} et al., J. Geom. Mech. 8, No. 3, 273--304 (2016; Zbl 1366.65018) Full Text: DOI arXiv
Molitor, Mathieu On the relation between geometrical quantum mechanics and information geometry. (English) Zbl 1328.53044 J. Geom. Mech. 7, No. 2, 169-202 (2015). MSC: 53C20 58B20 81P99 62B10 76Y99 49Q99 PDFBibTeX XMLCite \textit{M. Molitor}, J. Geom. Mech. 7, No. 2, 169--202 (2015; Zbl 1328.53044) Full Text: DOI
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier Invariant higher-order variational problems. II. (English) Zbl 1351.58009 J. Nonlinear Sci. 22, No. 4, 553-597 (2012). MSC: 58E05 49J27 58D19 70H25 70H30 70H45 70H50 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., J. Nonlinear Sci. 22, No. 4, 553--597 (2012; Zbl 1351.58009) Full Text: DOI arXiv
Falcó, Antonio; Nouy, Anthony Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces. (English) Zbl 1264.65095 Numer. Math. 121, No. 3, 503-530 (2012). Reviewer: Torsten Bosse (Berlin) MSC: 65K10 46M05 49M27 49J27 PDFBibTeX XMLCite \textit{A. Falcó} and \textit{A. Nouy}, Numer. Math. 121, No. 3, 503--530 (2012; Zbl 1264.65095) Full Text: DOI arXiv
Lott, John Optimal transport and Perelman’s reduced volume. (English) Zbl 1171.53318 Calc. Var. Partial Differ. Equ. 36, No. 1, 49-84 (2009). MSC: 53C21 53C44 49J20 PDFBibTeX XMLCite \textit{J. Lott}, Calc. Var. Partial Differ. Equ. 36, No. 1, 49--84 (2009; Zbl 1171.53318) Full Text: DOI arXiv
Bihun, Oksana; Chicone, Carmen Distortion minimal morphing: the theory for stretching. (English) Zbl 1167.68055 Rocky Mt. J. Math. 39, No. 1, 11-25 (2009). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 68U05 49Q10 58E99 68U07 PDFBibTeX XMLCite \textit{O. Bihun} and \textit{C. Chicone}, Rocky Mt. J. Math. 39, No. 1, 11--25 (2009; Zbl 1167.68055) Full Text: DOI arXiv
Galanis, G. N.; Bhaskar, T. Gnana; Lakshmikantham, V.; Palamides, P. K. Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations. (English) Zbl 1190.49025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 4, 559-575 (2005). MSC: 49J53 34A60 46G05 58B10 PDFBibTeX XMLCite \textit{G. N. Galanis} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 4, 559--575 (2005; Zbl 1190.49025) Full Text: DOI