Van Hoa, Ngo The initial value problem for interval-valued second-order differential equations under generalized H-differentiability. (English) Zbl 1390.34013 Inf. Sci. 311, 119-148 (2015). MSC: 34A07 49J52 PDFBibTeX XMLCite \textit{N. Van Hoa}, Inf. Sci. 311, 119--148 (2015; Zbl 1390.34013) Full Text: DOI
Tsebenko, A. M. Boundary optimal control for systems described by parabolic problem without initial conditions. (Russian. English summary) Zbl 1350.49005 Mat. Stud. 44, No. 1, 89-103 (2015). MSC: 49J20 35K10 58D25 PDFBibTeX XMLCite \textit{A. M. Tsebenko}, Mat. Stud. 44, No. 1, 89--103 (2015; Zbl 1350.49005) Full Text: DOI
Kapustyan, O. V.; Rusina, A. V. Approximate synthesis of distributed bounded control for a parabolic problem with rapidly oscillating coefficients. (English. Ukrainian original) Zbl 1348.49030 Ukr. Math. J. 67, No. 3, 408-420 (2015); translation from Ukr. Mat. Zh. 67, No. 3, 355-365 (2015). MSC: 49N35 49N10 49J20 35K10 PDFBibTeX XMLCite \textit{O. V. Kapustyan} and \textit{A. V. Rusina}, Ukr. Math. J. 67, No. 3, 408--420 (2015; Zbl 1348.49030); translation from Ukr. Mat. Zh. 67, No. 3, 355--365 (2015) Full Text: DOI
Klyachin, A. A. On the uniform convergence of piecewise linear solutions of an equilibrium capillary surface equation. (Russian, English) Zbl 1349.49050 Sib. Zh. Ind. Mat. 18, No. 2, 52-62 (2015); translation in J. Appl. Ind. Math. 9, No. 3, 381-391 (2015). MSC: 49Q05 35J20 53C42 PDFBibTeX XMLCite \textit{A. A. Klyachin}, Sib. Zh. Ind. Mat. 18, No. 2, 52--62 (2015; Zbl 1349.49050); translation in J. Appl. Ind. Math. 9, No. 3, 381--391 (2015) Full Text: DOI
Zhao, Jian; Gao, Hang Optimal initial value control problem for parabolic equation systems. (Chinese. English summary) Zbl 1349.49029 J. Northeast Norm. Univ., Nat. Sci. Ed. 47, No. 3, 1-4 (2015). MSC: 49K20 35K40 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{H. Gao}, J. Northeast Norm. Univ., Nat. Sci. Ed. 47, No. 3, 1--4 (2015; Zbl 1349.49029) Full Text: DOI
Trélat, Emmanuel; Privat, Yannick Optimal design of sensors for a damped wave equation. (English) Zbl 1381.93027 Discrete Contin. Dyn. Syst. 2015, Suppl., 936-944 (2015). MSC: 93B07 35L20 35P20 49K45 93B51 93C20 58J51 49K20 PDFBibTeX XMLCite \textit{E. Trélat} and \textit{Y. Privat}, Discrete Contin. Dyn. Syst. 2015, 936--944 (2015; Zbl 1381.93027) Full Text: DOI
De Maio, Umberto; Nandakumaran, Akamabadath K.; Perugia, Carmen Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. (English) Zbl 1339.35155 Evol. Equ. Control Theory 4, No. 3, 325-346 (2015). MSC: 35L20 35B27 35B40 93B05 76M50 49J20 35L05 PDFBibTeX XMLCite \textit{U. De Maio} et al., Evol. Equ. Control Theory 4, No. 3, 325--346 (2015; Zbl 1339.35155) Full Text: DOI
Lapin, Alexander; Laitinen, Erkki; Lapin, Sergey Explicit algorithms to solve a class of state constrained parabolic optimal control problems. (English) Zbl 1329.49046 Russ. J. Numer. Anal. Math. Model. 30, No. 6, 351-362 (2015). MSC: 49M25 49J20 35K20 65M06 65F08 PDFBibTeX XMLCite \textit{A. Lapin} et al., Russ. J. Numer. Anal. Math. Model. 30, No. 6, 351--362 (2015; Zbl 1329.49046) Full Text: DOI
Deng, Zui-Cha; Qian, Kun; Rao, Xiao-Bo; Yang, Liu; Luo, Guan-Wei An inverse problem of identifying the source coefficient in a degenerate heat equation. (English) Zbl 1326.35419 Inverse Probl. Sci. Eng. 23, No. 3, 498-517 (2015). MSC: 35R30 35K65 35K20 49J20 65M32 PDFBibTeX XMLCite \textit{Z.-C. Deng} et al., Inverse Probl. Sci. Eng. 23, No. 3, 498--517 (2015; Zbl 1326.35419) Full Text: DOI
Prins, C. R.; Beltman, R.; ten Thije Boonkkamp, J. H. M.; Jzerman, W. L.; Tukker, T. W. A least-squares method for optimal transport using the Monge-Ampère equation. (English) Zbl 1342.65149 SIAM J. Sci. Comput. 37, No. 6, B937-B961 (2015). MSC: 65K10 35J20 35J25 35J96 65N99 49K20 49Q20 PDFBibTeX XMLCite \textit{C. R. Prins} et al., SIAM J. Sci. Comput. 37, No. 6, B937--B961 (2015; Zbl 1342.65149) Full Text: DOI Link
Horsin, Thierry; Kogut, Peter I. Optimal \(L^2\)-control problem in coefficients for a linear elliptic equation. I: Existence result. (English) Zbl 1326.49005 Math. Control Relat. Fields 5, No. 1, 73-96 (2015). MSC: 49J20 49J45 35J57 35J75 PDFBibTeX XMLCite \textit{T. Horsin} and \textit{P. I. Kogut}, Math. Control Relat. Fields 5, No. 1, 73--96 (2015; Zbl 1326.49005) Full Text: DOI arXiv
De Maio, U.; Faella, L.; Perugia, C. Optimal control for a second-order linear evolution problem in a domain with oscillating boundary. (English) Zbl 1325.49005 Complex Var. Elliptic Equ. 60, No. 10, 1392-1410 (2015). MSC: 49J20 35B27 PDFBibTeX XMLCite \textit{U. De Maio} et al., Complex Var. Elliptic Equ. 60, No. 10, 1392--1410 (2015; Zbl 1325.49005) Full Text: DOI
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang A penalization-regularization-operator splitting method for eikonal based traveltime tomography. (English) Zbl 1325.65092 SIAM J. Imaging Sci. 8, No. 2, 1263-1292 (2015). MSC: 65K10 35F21 49J20 92C55 86A15 PDFBibTeX XMLCite \textit{R. Glowinski} et al., SIAM J. Imaging Sci. 8, No. 2, 1263--1292 (2015; Zbl 1325.65092) Full Text: DOI Link
Martínez-Frutos, Jesús; Kessler, Mathieu; Periago, Francisco Robust optimal shape design for an elliptic PDE with uncertainty in its input data. (English) Zbl 1323.49029 ESAIM, Control Optim. Calc. Var. 21, No. 4, 901-923 (2015). MSC: 49Q10 49J55 49J20 49M20 93E20 35R60 35J20 60H15 65K10 60G60 60G15 PDFBibTeX XMLCite \textit{J. Martínez-Frutos} et al., ESAIM, Control Optim. Calc. Var. 21, No. 4, 901--923 (2015; Zbl 1323.49029) Full Text: DOI
Kupenko, Olha P.; Manzo, Rosanna Shape stability of optimal control problems in coefficients for coupled system of Hammerstein type. (English) Zbl 1326.49007 Discrete Contin. Dyn. Syst., Ser. B 20, No. 9, 2967-2992 (2015). MSC: 49J20 49J45 49K40 35J57 93C73 PDFBibTeX XMLCite \textit{O. P. Kupenko} and \textit{R. Manzo}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 9, 2967--2992 (2015; Zbl 1326.49007) Full Text: DOI arXiv
Bonheure, Denis; Obersnel, Franco Optimal profiles in a phase-transition model with a saturating flux. (English) Zbl 1327.35126 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 334-357 (2015). MSC: 35J93 26D10 35B06 35J20 35J62 46E35 49J45 49Q20 53A10 PDFBibTeX XMLCite \textit{D. Bonheure} and \textit{F. Obersnel}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 334--357 (2015; Zbl 1327.35126) Full Text: DOI
Zhang, Haisen; Zhang, Xu Pointwise second-order necessary conditions for stochastic optimal controls. I: The case of convex control constraint. (English) Zbl 1337.49045 SIAM J. Control Optim. 53, No. 4, 2267-2296 (2015). MSC: 49K45 93E20 60H07 60H10 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Zhang}, SIAM J. Control Optim. 53, No. 4, 2267--2296 (2015; Zbl 1337.49045) Full Text: DOI arXiv
Carrillo, Mauricio; Gómez, Juan Alfredo A globally convergent algorithm for a PDE-constrained optimization problem arising in electrical impedance tomography. (English) Zbl 1319.65050 Numer. Funct. Anal. Optim. 36, No. 6, 748-776 (2015). MSC: 65K10 49J20 65N21 65N30 35R30 35J25 90C53 PDFBibTeX XMLCite \textit{M. Carrillo} and \textit{J. A. Gómez}, Numer. Funct. Anal. Optim. 36, No. 6, 748--776 (2015; Zbl 1319.65050) Full Text: DOI
von Daniels, Nikolaus; Hinze, Michael; Vierling, Morten Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems. (English) Zbl 1319.49045 SIAM J. Control Optim. 53, No. 3, 1182-1198 (2015). MSC: 49M25 49M05 49M29 49J20 65M60 65M12 35K20 35K05 PDFBibTeX XMLCite \textit{N. von Daniels} et al., SIAM J. Control Optim. 53, No. 3, 1182--1198 (2015; Zbl 1319.49045) Full Text: DOI arXiv
Feng, Zong-Hong; Wu, Xian; Li, Hong-Xu Multiple solutions for a modified Kirchhoff-type equation in \(\mathbb R^{N}\). (English) Zbl 1319.35040 Math. Methods Appl. Sci. 38, No. 4, 708-725 (2015). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35J60 49K20 58E05 35J20 35J70 35Q55 PDFBibTeX XMLCite \textit{Z.-H. Feng} et al., Math. Methods Appl. Sci. 38, No. 4, 708--725 (2015; Zbl 1319.35040) Full Text: DOI
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd Finite element error estimates on the boundary with application to optimal control. (English) Zbl 1307.65152 Math. Comput. 84, No. 291, 33-70 (2015). MSC: 65N15 65N30 65N50 65N12 35J25 49J20 65K10 49M25 PDFBibTeX XMLCite \textit{T. Apel} et al., Math. Comput. 84, No. 291, 33--70 (2015; Zbl 1307.65152) Full Text: DOI