Bongarti, Marcelo; Hintermüller, Michael Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network. (English) Zbl 07801986 Appl. Math. Optim. 89, No. 2, Paper No. 36, 48 p. (2024). MSC: 76N25 76N10 35Q35 93C20 PDFBibTeX XMLCite \textit{M. Bongarti} and \textit{M. Hintermüller}, Appl. Math. Optim. 89, No. 2, Paper No. 36, 48 p. (2024; Zbl 07801986) Full Text: DOI arXiv OA License
Hintermüller, Michael; Keil, Tobias Strong stationarity conditions for the optimal control of a Cahn-Hilliard-Navier-Stokes system. (English) Zbl 07783074 Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024). MSC: 49K20 35Q30 49J40 35J87 90C46 76T10 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Appl. Math. Optim. 89, No. 1, Paper No. 12, 28 p. (2024; Zbl 07783074) Full Text: DOI
Betz, Livia Strong stationarity for a highly nonsmooth optimization problem with control constraints. (English) Zbl 1522.49023 Math. Control Relat. Fields 13, No. 4, 1500-1528 (2023). MSC: 49K20 35Q93 49J52 PDFBibTeX XMLCite \textit{L. Betz}, Math. Control Relat. Fields 13, No. 4, 1500--1528 (2023; Zbl 1522.49023) Full Text: DOI
Barsukow, Wasilij Stationarity preservation properties of the active flux scheme on Cartesian grids. (English) Zbl 1524.35378 Commun. Appl. Math. Comput. 5, No. 2, 638-652 (2023). MSC: 35L65 35L45 65M08 PDFBibTeX XMLCite \textit{W. Barsukow}, Commun. Appl. Math. Comput. 5, No. 2, 638--652 (2023; Zbl 1524.35378) Full Text: DOI
Neitzel, Ira; Wachsmuth, Gerd First-order conditions for the optimal control of the obstacle problem with state constraints. (English) Zbl 1505.49019 Pure Appl. Funct. Anal. 7, No. 5, 1881-1911 (2022). MSC: 49K21 35J86 PDFBibTeX XMLCite \textit{I. Neitzel} and \textit{G. Wachsmuth}, Pure Appl. Funct. Anal. 7, No. 5, 1881--1911 (2022; Zbl 1505.49019) Full Text: arXiv Link
Maldonado, Andre Desiderio; Yousept, Irwin Optimal control of non-smooth wave equations. (English) Zbl 1505.35264 Pure Appl. Funct. Anal. 7, No. 5, 1813-1833 (2022). MSC: 35L60 34K35 35Q93 PDFBibTeX XMLCite \textit{A. D. Maldonado} and \textit{I. Yousept}, Pure Appl. Funct. Anal. 7, No. 5, 1813--1833 (2022; Zbl 1505.35264) Full Text: Link
Christof, Constantin; Meyer, Christian; Schweizer, Ben; Turek, Stefan Strong stationarity for optimal control of variational inequalities of the second kind. (English) Zbl 1502.49008 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 307-327 (2022). MSC: 49J40 49Q12 49K27 35J86 90C31 49J27 PDFBibTeX XMLCite \textit{C. Christof} et al., ISNM, Int. Ser. Numer. Math. 172, 307--327 (2022; Zbl 1502.49008) Full Text: DOI
Christof, Constantin; Wachsmuth, Gerd On second-order optimality conditions for optimal control problems governed by the obstacle problem. (English) Zbl 1480.35248 Optimization 70, No. 10, 2247-2287 (2021). MSC: 35J86 49J40 49K21 PDFBibTeX XMLCite \textit{C. Christof} and \textit{G. Wachsmuth}, Optimization 70, No. 10, 2247--2287 (2021; Zbl 1480.35248) Full Text: DOI arXiv
Hintermüller, Michael; Keil, Tobias Optimal control of geometric partial differential equations. (English) Zbl 1475.49005 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 213-270 (2021). MSC: 49J20 49K20 49J40 35J87 35Q93 35Q35 35R35 90C33 90C46 76D45 76T10 65K10 65K15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Keil}, Handb. Numer. Anal. 22, 213--270 (2021; Zbl 1475.49005) Full Text: DOI
Christof, Constantin; Müller, Georg Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. (English) Zbl 1468.35048 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S13, 31 p. (2021). MSC: 35J20 49J52 49K20 58E17 90C29 PDFBibTeX XMLCite \textit{C. Christof} and \textit{G. Müller}, ESAIM, Control Optim. Calc. Var. 27, Paper No. S13, 31 p. (2021; Zbl 1468.35048) Full Text: DOI
Arapostathis, Ari; Borkar, Vivek S. A variational characterization of the optimal exit rate for controlled diffusions. (English) Zbl 1470.60221 Theory Probab. Math. Stat. 102, 5-19 (2020). MSC: 60J60 93E20 35P15 60F10 PDFBibTeX XMLCite \textit{A. Arapostathis} and \textit{V. S. Borkar}, Theory Probab. Math. Stat. 102, 5--19 (2020; Zbl 1470.60221) Full Text: DOI arXiv
Barsukow, Wasilij Stationary states of finite volume discretizations of multi-dimensional linear hyperbolic systems. (English) Zbl 1466.65089 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). AIMS Ser. Appl. Math. 10, 296-303 (2020). MSC: 65M08 65M06 35L40 39A70 76Q05 PDFBibTeX XMLCite \textit{W. Barsukow}, AIMS Ser. Appl. Math. 10, 296--303 (2020; Zbl 1466.65089)
Barsukow, Wasilij Stationarity preserving schemes for multi-dimensional linear systems. (English) Zbl 1415.65207 Math. Comput. 88, No. 318, 1621-1645 (2019). MSC: 65M08 65M06 39A70 35L65 76M20 76M12 PDFBibTeX XMLCite \textit{W. Barsukow}, Math. Comput. 88, No. 318, 1621--1645 (2019; Zbl 1415.65207) Full Text: DOI arXiv
Christof, Constantin Sensitivity analysis and optimal control of obstacle-type evolution variational inequalities. (English) Zbl 1408.35094 SIAM J. Control Optim. 57, No. 1, 192-218 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K85 49K40 35B30 90C31 90C48 PDFBibTeX XMLCite \textit{C. Christof}, SIAM J. Control Optim. 57, No. 1, 192--218 (2019; Zbl 1408.35094) Full Text: DOI
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian Optimal control of a non-smooth semilinear elliptic equation. (English) Zbl 1407.49026 Math. Control Relat. Fields 8, No. 1, 247-276 (2018). MSC: 49K20 49J52 49M15 35J61 PDFBibTeX XMLCite \textit{C. Christof} et al., Math. Control Relat. Fields 8, No. 1, 247--276 (2018; Zbl 1407.49026) Full Text: DOI arXiv
Harder, Felix; Wachsmuth, Gerd The limiting normal cone of a complementarity set in Sobolev spaces. (English) Zbl 1407.49010 Optimization 67, No. 10, 1579-1603 (2018). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J27 35B27 49K99 PDFBibTeX XMLCite \textit{F. Harder} and \textit{G. Wachsmuth}, Optimization 67, No. 10, 1579--1603 (2018; Zbl 1407.49010) Full Text: DOI Backlinks: MO
Barsukow, Wasilij Stationarity and vorticity preservation for the linearized Euler equations in multiple spatial dimensions. (English) Zbl 1391.76382 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – methods and theoretical aspects. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57396-0/hbk; 978-3-319-57397-7/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 199, 449-456 (2017). MSC: 76M12 65M08 76Bxx 35L45 35Q35 PDFBibTeX XMLCite \textit{W. Barsukow}, Springer Proc. Math. Stat. 199, 449--456 (2017; Zbl 1391.76382) Full Text: DOI
Hintermüller, Michael; Keil, Tobias; Wegner, Donat Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. (English) Zbl 1368.49022 SIAM J. Control Optim. 55, No. 3, 1954-1989 (2017). MSC: 49K20 35J87 90C46 76T10 49M25 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., SIAM J. Control Optim. 55, No. 3, 1954--1989 (2017; Zbl 1368.49022) Full Text: DOI arXiv
Katz, R.; Gossiaux, P. B. The Schrödinger-Langevin equation with and without thermal fluctuations. (English) Zbl 1377.81085 Ann. Phys. 368, 267-295 (2016). MSC: 81S22 82C31 35Q40 35Q62 PDFBibTeX XMLCite \textit{R. Katz} and \textit{P. B. Gossiaux}, Ann. Phys. 368, 267--295 (2016; Zbl 1377.81085) Full Text: DOI arXiv
Wachsmuth, Gerd Towards M-stationarity for optimal control of the obstacle problem with control constraints. (English) Zbl 1337.49042 SIAM J. Control Optim. 54, No. 2, 964-986 (2016). MSC: 49K21 49J40 35J86 PDFBibTeX XMLCite \textit{G. Wachsmuth}, SIAM J. Control Optim. 54, No. 2, 964--986 (2016; Zbl 1337.49042) Full Text: DOI Link
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.; Veretennikov, Alexander Yu. Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter. (English) Zbl 1346.60099 Discrete Contin. Dyn. Syst. 36, No. 7, 3519-3543 (2016). MSC: 60H30 35Q84 60J60 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Discrete Contin. Dyn. Syst. 36, No. 7, 3519--3543 (2016; Zbl 1346.60099) Full Text: DOI
Hilfer, Rudolf Mathematical analysis of time flow. (English) Zbl 1335.35211 Analysis, München 36, No. 1, 49-64 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q40 81V70 82D30 26A33 PDFBibTeX XMLCite \textit{R. Hilfer}, Analysis, München 36, No. 1, 49--64 (2016; Zbl 1335.35211) Full Text: DOI
Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. (English) Zbl 1320.49016 Interfaces Free Bound. 17, No. 1, 21-53 (2015). MSC: 49M25 49J40 49K20 65K15 35J86 90C33 PDFBibTeX XMLCite \textit{C. Brett} et al., Interfaces Free Bound. 17, No. 1, 21--53 (2015; Zbl 1320.49016) Full Text: DOI
Wachsmuth, Gerd Strong stationarity for optimal control of the obstacle problem with control constraints. (English) Zbl 1328.49007 SIAM J. Optim. 24, No. 4, 1914-1932 (2014). MSC: 49J40 49K21 35J86 PDFBibTeX XMLCite \textit{G. Wachsmuth}, SIAM J. Optim. 24, No. 4, 1914--1932 (2014; Zbl 1328.49007) Full Text: DOI Link
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd B- and strong stationarity for optimal control of static plasticity with hardening. (English) Zbl 1266.49013 SIAM J. Optim. 23, No. 1, 321-352 (2013). MSC: 49J40 70Q05 74C05 35R45 PDFBibTeX XMLCite \textit{R. Herzog} et al., SIAM J. Optim. 23, No. 1, 321--352 (2013; Zbl 1266.49013) Full Text: DOI
Hintermüller, M.; Kopacka, I. Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. (English) Zbl 1189.49032 SIAM J. Optim. 20, No. 2, 868-902 (2009). MSC: 49K20 49M15 65K05 90C33 35J87 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{I. Kopacka}, SIAM J. Optim. 20, No. 2, 868--902 (2009; Zbl 1189.49032) Full Text: DOI Link
Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M. Emergence of travelling waves in smooth nerve fibres. (English) Zbl 1148.92006 Discrete Contin. Dyn. Syst., Ser. S 1, No. 2, 263-272 (2008). MSC: 92C20 35K57 37N25 58E30 PDFBibTeX XMLCite \textit{S. Jacquir} et al., Discrete Contin. Dyn. Syst., Ser. S 1, No. 2, 263--272 (2008; Zbl 1148.92006) Full Text: DOI
Mazhukin, A. V.; Mazhukin, V. I. Dynamic adaptation for parabolic equations. (Russian. English summary) Zbl 07812357 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 11, 1913-1936 (2007); translation in Comput. Math. Math. Phys. 47, No. 11, 1833-1855 (2007). MSC: 35F30 PDFBibTeX XMLCite \textit{A. V. Mazhukin} and \textit{V. I. Mazhukin}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 11, 1913--1936 (2007; Zbl 07812357); translation in Comput. Math. Math. Phys. 47, No. 11, 1833--1855 (2007) Full Text: DOI MNR
Gwinner, J. On differential variational inequalities and projected dynamical systems – equivalence and a stability result. (English) Zbl 1163.34375 Discrete Contin. Dyn. Syst. 2007, Suppl., 467-476 (2007). MSC: 34G25 35B30 35K85 49J53 49J45 PDFBibTeX XMLCite \textit{J. Gwinner}, Discrete Contin. Dyn. Syst. 2007, 467--476 (2007; Zbl 1163.34375)
Watzenig, Daniel Recovery of inclusion shape by statistical inversion of non-stationary tomographic measurement data. (English) Zbl 1114.62073 Int. J. Inf. Syst. Sci. 2, No. 4, 469-483 (2006). MSC: 62H35 35Q80 60G35 49N90 PDFBibTeX XMLCite \textit{D. Watzenig}, Int. J. Inf. Syst. Sci. 2, No. 4, 469--483 (2006; Zbl 1114.62073)
Assing, Sigurd A pregenerator for Burgers equation forced by conservative noise. (English) Zbl 0992.35087 Commun. Math. Phys. 225, No. 3, 611-632 (2002). MSC: 35Q53 35R60 76F20 PDFBibTeX XMLCite \textit{S. Assing}, Commun. Math. Phys. 225, No. 3, 611--632 (2002; Zbl 0992.35087) Full Text: DOI
Li, L.; Babuška, Ivo; Chen, J. The boundary layer for \(p\)-model plate problems. I: Asymptotic analysis. II: Boundary layer behavior. (English) Zbl 0881.73067 Acta Mech. 122, No. 1-4, 181-216 (1997). Reviewer: Hans Bufler (Gräfelding) MSC: 74K20 35Q72 35B40 PDFBibTeX XMLCite \textit{L. Li} et al., Acta Mech. 122, No. 1--4, 181--216 (1997; Zbl 0881.73067) Full Text: DOI
Bratus’, A. S.; Myshkis, A. D. The relation between the first and second natural frequencies of vibrations of a membrane. (English. Russian original) Zbl 0769.73047 Comput. Math. Math. Phys. 32, No. 2, 264-269 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 2, 320-325 (1992). Reviewer: M.Mişicu (Bucureşti) MSC: 74H45 74K20 35P15 PDFBibTeX XMLCite \textit{A. S. Bratus'} and \textit{A. D. Myshkis}, Comput. Math. Math. Phys. 32, No. 2, 264--269 (1992; Zbl 0769.73047); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 2, 320--325 (1992)
Serre, D. Droites de solutions pour l’équation de Navier-Stokes stationnaire bidimensionnelle. (French) Zbl 0497.35074 Appl. Anal. 13, 297-306 (1982). MSC: 35Q30 35B40 76D05 PDFBibTeX XMLCite \textit{D. Serre}, Appl. Anal. 13, 297--306 (1982; Zbl 0497.35074) Full Text: DOI
Leptukh, G. G.; Ushveridze, A. G. A new method for scalar instanton spectrum investigation. (English) Zbl 0486.35069 J. Phys. A 14, 3085-3092 (1981). MSC: 35Q99 81T08 PDFBibTeX XMLCite \textit{G. G. Leptukh} and \textit{A. G. Ushveridze}, J. Phys. A, Math. Gen. 14, 3085--3092 (1981; Zbl 0486.35069) Full Text: DOI
Requardt, Manfred How conclusive is the scaling argument? The connection between local and global scale variations of finite action solutions of classical Euler- Lagrange equations. (English) Zbl 0471.35009 Commun. Math. Phys. 80, 369-379 (1981). MSC: 35B40 35B45 70H03 35A30 PDFBibTeX XMLCite \textit{M. Requardt}, Commun. Math. Phys. 80, 369--379 (1981; Zbl 0471.35009) Full Text: DOI