Edit Profile (opens in new tab) Holden, Helge Co-Author Distance Author ID: holden.helge Published as: Holden, Helge; Holden, H. Homepage: https://www.ntnu.edu/employees/holden External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 202 Publications since 1983, including 11 Books and 6 Additional arXiv Preprints 17 Contributions as Editor Biographic References: 1 Publication Co-Authors: 99 Co-Authors with 213 Joint Publications 3,266 Co-Co-Authors all top 5 Co-Authors 6 single-authored 56 Gesztesy, Fritz 37 Risebro, Nils Henrik 25 Karlsen, Kenneth Hvistendahl 19 Raynaud, Xavier 18 Høegh-Krohn, Raphael J. 17 Albeverio, Sergio A. 16 Piene, Ragni 13 Grunert, Katrin 13 Øksendal, Bernt Karsten 12 Teschl, Gerald 11 Ubøe, Jan 10 Lindstrøm, Tom L. 9 Coclite, Giuseppe Maria 9 Holden, Lars 9 Simon, Barry 9 Zhang, Tusheng S. 6 Lie, Knut-Andreas 6 Michor, Johanna 5 Hanche-Olsen, Harald 4 Nichols, Roger 4 Pang, Peter H. C. 4 Zhao, Zhongxin 3 Aggarwal, Aekta 3 Carrillo de la Plata, José Antonio 3 Colombo, Rinaldo M. 3 Kirsch, Werner 3 Koley, Ujjwal 3 Kolsrud, Torbjörn 3 Sande, Hilde 3 Vaidya, Ganesh 2 Behrndt, Jussi 2 Dutta, Rajib 2 Enolskiĭ, Viktor Zelikovich 2 Exner, Pavel 2 Fenstad, Jens Erik 2 Figari, Rodolfo 2 Geronimo, Jeffrey S. 2 Gimse, Tore 2 Johannesen, Steinar 2 Jost, Jürgen 2 Karper, Trygve Klovning 2 Martinelli, Fabio 2 Mebkhout, Mohammed 2 Mitrovic, Darko 2 Paycha, Sylvie 2 Röckner, Michael 2 Scarlatti, Sergio 1 Babinsky, Holger 1 Boldrighini, Carlo 1 Bratvedt, Frode 1 Bratvedt, Kyrre 1 Bressan, Alberto 1 Buchholz, Christian F. 1 Bulla, W. 1 Bunimovich, Leonid Abramovich 1 Cascaval, Radu C. 1 Cellarosi, Francesco 1 Chen, Gui-Qiang G. 1 Clark, Steve 1 Cohen, Albert 1 De Lellis, Camillo 1 Deligne, Pierre 1 Eckhardt, Jonathan 1 Ehrnström, Mats 1 Eilbeck, John Chris 1 Frank, Rupert L. 1 Frid, Hermano 1 Galimberti, Luca 1 Gielerak, Roman 1 Gjerde, Jon 1 Gjessing, Håkon K. 1 Goldstein, Jerome Arthur 1 Grasmair, Markus 1 Gurarie, David 1 Gurevich, Boris 1 Hoàng Xuân Phù 1 Holdahl, Runar 1 Holden, Steinar 1 Hu, Yaozhong 1 Illusie, Luc 1 Jensen, Arne 1 Khanin, Konstantin M. 1 Klaus, Martin 1 Kohn, Robert Vita 1 Kostenko, Aleksey S. 1 Latushkin, Yuri 1 Levitan, Boris Moiseevich 1 Li, Dong 1 Lubich, Christian 1 Malinnikova, Eugenia 1 Marcellini, Francesca 1 Martinsen, Torgeir With 1 Meyer, Yves F. 1 Munthe-Kaas, Hans Z. 1 Nasar, Sylvia 1 Nash, John Forbes jun. 1 Nirenberg, Louis 1 Onsager, Lars 1 Panov, Evgeniy Yu. 1 Pesin, Yakov Borisovich ...and 21 more Co-Authors all top 5 Serials 9 Journal of Differential Equations 9 Discrete and Continuous Dynamical Systems 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Mathematics of Computation 4 Communications in Mathematical Physics 4 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 3 Reviews in Mathematical Physics 3 SIAM Journal on Applied Mathematics 3 Expositiones Mathematicae 3 Journal of Hyperbolic Differential Equations 3 Applied Mathematical Sciences 3 The Abel Prize 2 IMA Journal of Numerical Analysis 2 Journal of Computational Physics 2 Annales de l’Institut Fourier 2 BIT 2 Integral Equations and Operator Theory 2 Journal für die Reine und Angewandte Mathematik 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 IMRN. International Mathematics Research Notices 2 Journal of Physics A: Mathematical and General 2 Potential Analysis 2 Skrifter. Det Kongelige Norske Videnskabers Selskab 2 Cambridge Studies in Advanced Mathematics 2 CMS Conference Proceedings 2 Forum of Mathematics, Sigma 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Journal of Optimization Theory and Applications 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Normat 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Advances in Applied Mathematics 1 Probability Theory and Related Fields 1 Journal of Economic Dynamics & Control 1 Surveys on Mathematics for Industry 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Electronic Journal of Differential Equations (EJDE) 1 European Mathematical Society Newsletter 1 Aerospace Science and Technology 1 Vietnam Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Stochastics 1 Contemporary Mathematics 1 Lecture Notes in Physics 1 Proceedings of Symposia in Pure Mathematics 1 Abel Symposia 1 Networks and Heterogeneous Media 1 International Journal of Differential Equations 1 Springer Proceedings in Mathematics & Statistics 1 Research in the Mathematical Sciences 1 World Scientific Series in 20th Century Physics 1 Universitext 1 Probability and its Applications 1 EMS Series of Lectures in Mathematics 1 EMS Series of Congress Reports 1 Texts and Monographs in Physics 1 London Mathematical Society. Newsletter 1 European Mathematical Society Magazine all top 5 Fields 139 Partial differential equations (35-XX) 36 Numerical analysis (65-XX) 34 Probability theory and stochastic processes (60-XX) 32 Fluid mechanics (76-XX) 27 Operator theory (47-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 History and biography (01-XX) 24 Quantum theory (81-XX) 14 Ordinary differential equations (34-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 General and overarching topics; collections (00-XX) 12 Algebraic geometry (14-XX) 10 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Operations research, mathematical programming (90-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Mechanics of deformable solids (74-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 175 Publications have been cited 3,693 times in 2,611 Documents Cited by ▼ Year ▼ Solvable models in quantum mechanics. Zbl 0679.46057 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 390 1988 Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 194 2005 Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056 Gesztesy, Fritz; Holden, Helge 163 2003 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080 Holden, Helge; Raynaud, Xavier 161 2007 Stochastic partial differential equations. A modeling, white noise functional approach. Zbl 0860.60045 Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 142 1996 The Kolmogorov-Riesz compactness theorem. Zbl 1208.46027 Hanche-Olsen, Harald; Holden, Helge 115 2010 Front tracking for hyperbolic conservation laws. Zbl 1006.35002 Holden, Helge; Risebro, Nils Henrik 108 2002 Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099 Holden, Helge; Raynaud, Xavier 102 2009 Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106 Coclite, G. M.; Holden, H.; Karlsen, K. H. 99 2005 Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004 Holden, Helge; Risebro, Nils Henrik 99 2015 A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089 Holden, Helge; Risebro, Nils Henrik 93 1995 Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005 Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 85 2010 Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005 Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik 75 2010 Wellposedness for a parabolic-elliptic system. Zbl 1082.35056 Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl 73 2005 Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 63 2008 Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049 Gesztesy, Fritz; Holden, Helge 61 2003 A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061 Holden, Helge; Raynaud, Xavier 57 2006 Operator splitting for the KdV equation. Zbl 1219.35235 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 47 2011 Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184 Holden, Helge; Lubich, Christian; Risebro, Nils Henrik 43 2013 Periodic conservative solutions of the Camassa-Holm equation. Zbl 1158.35079 Holden, Helge; Raynaud, Xavier 39 2008 Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065 Holden, Helge; Raynaud, Xavier 38 2007 Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. Zbl 0906.35099 Bulla, W.; Gesztesy, F.; Holden, H.; Teschl, G. 38 1998 Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003 Coclite, G. M.; Holden, H.; Karlsen, K. H. 38 2009 Global conservative solutions of the generalized hyperelastic-rod wave equation. Zbl 1116.35115 Holden, Helge; Raynaud, Xavier 36 2007 Convergence of a finite difference scheme for the Camassa-Holm equation. Zbl 1122.76065 Holden, Helge; Raynaud, Xavier 36 2006 Global solutions for the two-component Camassa-Holm system. Zbl 1258.35176 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 36 2012 Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102 Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 35 1999 Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046 Bressan, Alberto; Holden, Helge; Raynaud, Xavier 33 2010 Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075 Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge 32 2005 Global semigroup of conservative solutions of the nonlinear variational wave equation. Zbl 1270.35322 Holden, Helge; Raynaud, Xavier 31 2011 On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on \(L^ 2({\mathbb{R}}^ v)^+\). Zbl 0546.60063 Martinelli, Fabio; Holden, Helge 30 1984 Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073 Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M. 29 2000 Conservation laws with a random source. Zbl 0885.35069 Holden, H.; Risebro, N. H. 29 1997 The Burgers equation with a noisy force and the stochastic heat equation. Zbl 0804.35158 Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S. 28 1994 A numerical method for first order nonlinear scalar conservation laws in one-dimension. Zbl 0658.65085 Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael 27 1988 Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003 Holden, Helge; Risebro, Nils Henrik 24 2011 Global dissipative multipeakon solutions of the Camassa-Holm equation. Zbl 1156.76014 Holden, H.; Raynaud, X. 24 2008 Lipschitz metric for the Camassa-Holm equation on the line. Zbl 1297.35205 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 24 2013 Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427 Gesztesy, Fritz; Holden, Helge 23 2008 Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085 Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P. 21 1988 The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180 Holden, Helge; Risebro, Nils Henrik 21 2018 A new class of solvable models in quantum mechanics describing point interactions on the line. Zbl 0627.34030 Gesztesy, F.; Holden, H. 20 1987 Lipschitz metric for the periodic Camassa-Holm equation. Zbl 1205.35252 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 20 2011 Symmetric waves are traveling waves. Zbl 1181.35230 Ehrnström, Mats; Holden, Helge; Raynaud, Xavier 20 2009 Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101 Holden, H.; Karlsen, K. H.; Risebro, N. H. 18 2007 The damped string problem revisited. Zbl 1223.47049 Gesztesy, Fritz; Holden, Helge 18 2011 An improvement of the Kolmogorov-Riesz compactness theorem. Zbl 1425.46018 Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia 18 2019 On the Riemann problem for a prototype of a mixed type conservation law. Zbl 0637.35051 Holden, Helge 17 1987 A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Zbl 1315.35186 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 17 2015 A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants. Zbl 0622.35049 Gesztesy, F.; Holden, H. 16 1987 Global conservative solutions to the Camassa-Holm equation for initial data with nonvanishing asymptotics. Zbl 1253.35147 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 16 2012 Unconditionally stable splitting methods for the shallow water equations. Zbl 0945.76059 Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas 15 1999 Higher order trace relations for Schrödinger operators. Zbl 0833.34084 Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 15 1995 Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Zbl 1295.35193 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 15 2014 Models for dense multilane vehicular traffic. Zbl 1441.35162 Holden, Helge; Risebro, Nils Henrik 15 2019 The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248 Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 14 2009 A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030 Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z. 14 1996 On the Toda and Kac-van Moerbeke systems. Zbl 0789.58043 Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 14 1993 Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081 Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin 14 1993 Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121 Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 14 2015 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122 Holden, Helge; Risebro, Nils Henrik 14 2018 Absolute summability of the trace relation for certain Schrödinger operators. Zbl 0821.34076 Gesztesy, Fritz; Holden, Helge; Simon, Barry 13 1995 Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. Zbl 1049.35113 Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas 13 2000 Riemann problems with a kink. Zbl 0926.35087 Holden, Helge; Risebro, Nils Henrik 13 1999 On trace formulas for Schrödinger-type operators. Zbl 0881.34027 Gesztesy, F.; Holden, H. 13 1997 An unconditionally stable method for the Euler equations. Zbl 0922.76251 Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik 12 1999 On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H. 12 2003 Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174 Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald 12 2012 Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields. Zbl 0639.60010 Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 11 1988 On energy gaps in a new type of analytically solvable model in quantum mechanics. Zbl 0669.47002 Gesztesy, F.; Holden, H.; Kirsch, W. 11 1988 A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150 Holden, Helge; Risebro, Nils Henrik 11 1993 A stochastic approach to conservation laws. Zbl 0789.35103 Holden, H.; Risebro, N. H. 10 1991 Representation and construction of multiplicative noise. Zbl 0696.60012 Albeverio, Sergio; Holden, Helge; Høegh-Krohn, Raphael; Kolsrud, Torbjörn 10 1989 The Hunter-Saxton equation with noise. Zbl 1451.35266 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 10 2021 The pressure equation for fluid flow in a stochastic medium. Zbl 0834.60068 Holden, H.; Lindstrøm, T.; Øksendal, B.; Ubøe, J.; Zhang, T.-S. 9 1995 Stability of solutions of quasilinear parabolic equations. Zbl 1078.35047 Coclite, Giuseppe Maria; Holden, Helge 9 2005 Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation. Zbl 0728.35104 Gesztesy, F.; Holden, H.; Saab, E.; Simon, B. 9 1991 The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146 Grunert, Katrin; Holden, Helge 9 2016 A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Zbl 1138.65093 Holden, H.; Raynaud, X. 8 2008 Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Zbl 0974.35065 Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas 8 2000 Point interactions in two dimensions: basic properties, approximations and applications in solid state physics. Zbl 0619.35030 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 8 1987 FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073 Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik 8 1993 Trace formulas and conservation laws for nonlinear evolution equations. Zbl 0805.35113 Gesztesy, F.; Holden, H. 8 1994 A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112 Holden, H.; Karlsen, K. H.; Risebro, N. H. 8 2009 A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305 Carrillo, José Antonio; Grunert, Katrin; Holden, Helge 8 2019 Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 7 2008 Darboux-type transformations and hyperelliptic curves. Zbl 1102.14301 Gesztesy, Fritz; Holden, Helge 7 2000 The Wick product. Zbl 0820.60048 Gjessing, H.; Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S. 7 1993 On coupling constant thresholds in two dimensions. Zbl 0593.35031 Holden, Helge 7 1985 Stochastic boundary value problems: A white noise functional approach. Zbl 0792.60055 Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu-Sheng 7 1993 Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 7 2016 Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090 Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 7 2016 Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214 Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 7 2010 Periodic conservative solutions for the two-component Camassa-Holm system. Zbl 1320.35311 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 7 2013 Markov cosurfaces and gauge fields. Zbl 0541.60093 Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge 6 1984 The short range expansion. Zbl 0546.35019 Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar 6 1983 On new trace formulae for Schrödinger operators. Zbl 0830.35118 Gesztesy, F.; Holden, H. 6 1995 On scalar conservation laws in one dimension. Zbl 0851.65064 Holden, Helge; Holden, Lars 6 1992 Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Zbl 1212.35166 Holden, Helge; Karlsen, Kenneth H.; Mitrovic, Darko; Panov, Evgueni Yu. 6 2009 Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063 Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri 5 2004 Global well-posedness of the viscous Camassa-Holm equation with gradient noise. Zbl 1515.35376 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 3 2023 Noise-driven bifurcations in a neural field system modelling networks of grid cells. Zbl 1500.92004 Carrillo, José A.; Holden, Helge; Solem, Susanne 2 2022 Uniqueness of conservative solutions for the Hunter-Saxton equation. Zbl 1486.35005 Grunert, Katrin; Holden, Helge 2 2022 Strong solutions of a stochastic differential equation with irregular random drift. Zbl 1494.60064 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 1 2022 The Hunter-Saxton equation with noise. Zbl 1451.35266 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 10 2021 Evolutionarily stable strategies in stable and periodically fluctuating populations: the Rosenzweig-MacArthur predator-prey model. Zbl 1485.92087 Grunert, Katrin; Holden, Helge; Stenseth, Nils Chr. 3 2021 Singular diffusion with Neumann boundary conditions. Zbl 1459.35230 Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik 1 2021 Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Zbl 1465.35005 1 2021 On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034 Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca 2 2020 A Lipschitz metric for the Camassa-Holm equation. Zbl 1442.35371 Carrillo, José A.; Grunert, Katrin; Holden, Helge 1 2020 An improvement of the Kolmogorov-Riesz compactness theorem. Zbl 1425.46018 Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia 18 2019 Models for dense multilane vehicular traffic. Zbl 1441.35162 Holden, Helge; Risebro, Nils Henrik 15 2019 A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305 Carrillo, José Antonio; Grunert, Katrin; Holden, Helge 8 2019 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180 Holden, Helge; Risebro, Nils Henrik 21 2018 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122 Holden, Helge; Risebro, Nils Henrik 14 2018 On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system. Zbl 1406.35277 Grasmair, Markus; Grunert, Katrin; Holden, Helge 3 2018 Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy. (Solutions algebro-géométriques à valeurs réelles de la hierarchie de Camassa-Holm à deux composantes.) Zbl 1383.35182 Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald 5 2017 On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 2 2017 The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146 Grunert, Katrin; Holden, Helge 9 2016 Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 7 2016 Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090 Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 7 2016 On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154 Colombo, Rinaldo M.; Holden, Helge 4 2016 Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385-394]. Zbl 1356.46022 Hanche-Olsen, Harald; Holden, Helge 3 2016 Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 1465.47010 Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2016 Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182 Colombo, Rinaldo M.; Holden, Helge 3 2016 Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004 Holden, Helge; Risebro, Nils Henrik 99 2015 A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Zbl 1315.35186 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 17 2015 Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121 Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 14 2015 Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311 Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H. 5 2015 On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014 Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2015 Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Zbl 1295.35193 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 15 2014 On an inverse problem for scalar conservation laws. Zbl 1286.35266 Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik 5 2014 List of publications for Endre Szemerédi. Zbl 1317.01031 Holden, Helge; Piene, Ragni 1 2014 Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184 Holden, Helge; Lubich, Christian; Risebro, Nils Henrik 43 2013 Lipschitz metric for the Camassa-Holm equation on the line. Zbl 1297.35205 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 24 2013 Periodic conservative solutions for the two-component Camassa-Holm system. Zbl 1320.35311 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 7 2013 Operator splitting for two-dimensional incompressible fluid equations. Zbl 1322.76017 Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve 3 2013 Spectral analysis, differential equations and mathematical physics: A Festschrift in honor of Fritz Gesztesy’s 60th birthday. Zbl 1270.00040 1 2013 Operator splitting for well-posed active scalar equations. Zbl 1282.35305 Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve K. 1 2013 Optimal rebalancing of portfolios with transaction costs. Zbl 1285.91118 Holden, Helge; Holden, Lars 1 2013 Global solutions for the two-component Camassa-Holm system. Zbl 1258.35176 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 36 2012 Global conservative solutions to the Camassa-Holm equation for initial data with nonvanishing asymptotics. Zbl 1253.35147 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 16 2012 Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174 Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald 12 2012 Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Zbl 1231.35003 1 2012 Operator splitting for the KdV equation. Zbl 1219.35235 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 47 2011 Global semigroup of conservative solutions of the nonlinear variational wave equation. Zbl 1270.35322 Holden, Helge; Raynaud, Xavier 31 2011 Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003 Holden, Helge; Risebro, Nils Henrik 24 2011 Lipschitz metric for the periodic Camassa-Holm equation. Zbl 1205.35252 Grunert, Katrin; Holden, Helge; Raynaud, Xavier 20 2011 The damped string problem revisited. Zbl 1223.47049 Gesztesy, Fritz; Holden, Helge 18 2011 \(L^\infty\) solutions for a model of nonisothermal polytropic gas flow. Zbl 1252.35197 Frid, Hermano; Holden, Helge; Karlsen, Kenneth H. 2 2011 The Kolmogorov-Riesz compactness theorem. Zbl 1208.46027 Hanche-Olsen, Harald; Holden, Helge 115 2010 Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005 Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 85 2010 Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005 Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik 75 2010 Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046 Bressan, Alberto; Holden, Helge; Raynaud, Xavier 33 2010 Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214 Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 7 2010 The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Zbl 1178.37074 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 3 2010 Ground states of the Schrödinger-Maxwell system with Dirac mass: existence and asymptotics. Zbl 1190.35189 Coclite, Giuseppe Maria; Holden, Helge 1 2010 Contract adjustment under uncertainty. Zbl 1202.91031 Holden, Helge; Holden, Lars; Holden, Steinar 1 2010 Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099 Holden, Helge; Raynaud, Xavier 102 2009 Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003 Coclite, G. M.; Holden, H.; Karlsen, K. H. 38 2009 Symmetric waves are traveling waves. Zbl 1181.35230 Ehrnström, Mats; Holden, Helge; Raynaud, Xavier 20 2009 The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248 Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 14 2009 A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112 Holden, H.; Karlsen, K. H.; Risebro, N. H. 8 2009 Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Zbl 1212.35166 Holden, Helge; Karlsen, Kenneth H.; Mitrovic, Darko; Panov, Evgueni Yu. 6 2009 The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 4 2009 Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. Zbl 1206.35170 Holden, H.; Karlsen, K. H.; Mitrovic, D. 4 2009 Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119 Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 1 2009 Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 63 2008 Periodic conservative solutions of the Camassa-Holm equation. Zbl 1158.35079 Holden, Helge; Raynaud, Xavier 39 2008 Global dissipative multipeakon solutions of the Camassa-Holm equation. Zbl 1156.76014 Holden, H.; Raynaud, X. 24 2008 Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427 Gesztesy, Fritz; Holden, Helge 23 2008 A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Zbl 1138.65093 Holden, H.; Raynaud, X. 8 2008 Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 7 2008 The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045 Gesztesy, Fritz; Holden, Helge; Teschl, Gerald 5 2008 Global weak solutions for a shallow water equation. Zbl 1168.35415 Coclite, G. M.; Holden, H.; Karlsen, K. H. 1 2008 Erratum to: “The Schrödinger-Maxwell system with Dirac mass” [Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (5) (2007) 773-793]. Zbl 1157.35334 Coclite, G. M.; Holden, H. 1 2008 A combined experimental and numerical study of flow structures over three-dimensional shock control bumps. Zbl 1273.76262 Wong, W. S.; Qin, N.; Sellars, N.; Holden, H.; Babinsky, H. 1 2008 Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080 Holden, Helge; Raynaud, Xavier 161 2007 Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065 Holden, Helge; Raynaud, Xavier 38 2007 Global conservative solutions of the generalized hyperelastic-rod wave equation. Zbl 1116.35115 Holden, Helge; Raynaud, Xavier 36 2007 Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101 Holden, H.; Karlsen, K. H.; Risebro, N. H. 18 2007 Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. Zbl 1137.37033 Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald 5 2007 The Schrödinger-Maxwell system with Dirac mass. Zbl 1132.35024 Coclite, G. M.; Holden, H. 5 2007 A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061 Holden, Helge; Raynaud, Xavier 57 2006 Convergence of a finite difference scheme for the Camassa-Holm equation. Zbl 1122.76065 Holden, Helge; Raynaud, Xavier 36 2006 Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Zbl 1162.37326 Gesztesy, Fritz; Holden, Helge 1 2006 Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 194 2005 Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106 Coclite, G. M.; Holden, H.; Karlsen, K. H. 99 2005 Wellposedness for a parabolic-elliptic system. Zbl 1082.35056 Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl 73 2005 Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075 Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge 32 2005 Stability of solutions of quasilinear parabolic equations. Zbl 1078.35047 Coclite, Giuseppe Maria; Holden, Helge 9 2005 Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063 Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri 5 2004 Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056 Gesztesy, Fritz; Holden, Helge 163 2003 Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049 Gesztesy, Fritz; Holden, Helge 61 2003 On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H. 12 2003 The hyperelliptic \(\zeta\)-function and the integrable massive Thirring model. Zbl 1101.14314 Eilbeck, J. C.; Enolskii, V. Z.; Holden, H. 5 2003 Front tracking for hyperbolic conservation laws. Zbl 1006.35002 Holden, Helge; Risebro, Nils Henrik 108 2002 Dubrovin equations and integrable systems on hyperelliptic curves. Zbl 1075.35068 Gesztesy, Fritz; Holden, Helge 1 2002 The Riemann problem for an elastic string with a linear Hooke’s law. Zbl 1032.35133 Hanche-Olsen, Harald; Holden, Helge; Risebro, Nils Henrik 1 2002 ...and 75 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,875 Authors 68 Holden, Helge 53 Coclite, Giuseppe Maria 51 Gesztesy, Fritz 50 Risebro, Nils Henrik 47 Karlsen, Kenneth Hvistendahl 46 Albeverio, Sergio A. 43 Geng, Xianguo 32 Exner, Pavel 24 Malamud, Mark M. 24 Yin, Zhaoyang 23 Mi, Yongsheng 22 Teschl, Gerald 21 Chen, Geng 21 Fan, Engui 21 Mu, Chunlai 21 Posilicano, Andrea 20 Bürger, Raimund 20 Liu, Yue 19 Grunert, Katrin 19 Øksendal, Bernt Karsten 19 Piccoli, Benedetto 18 Behrndt, Jussi 18 Bressan, Alberto 18 Ma, Wen-Xiu 17 Di Ruvo, Lorenzo 17 Geyler, Vladimir A. 17 Simon, Barry 17 Teta, Alessandro 16 Garavello, Mauro 16 Herty, Michael Matthias 16 Kostenko, Aleksey S. 16 Lai, Shaoyong 16 Popov, Igor’ Yur’evich 16 Qiao, Zhijun 16 Raynaud, Xavier 15 Göttlich, Simone 15 Michelangeli, Alessandro 13 Colombo, Rinaldo M. 13 Eckhardt, Jonathan 13 Goatin, Paola 13 Guo, Boling 13 Koshmanenko, Volodymyr Dmytrovych 13 Qu, Changzheng 13 Xue, Bo 12 Alpay, Daniel Aron 12 Carlone, Raffaele 12 Mishra, Siddhartha 12 Xie, Yingchao 12 Yang, Chuanfu 12 Zeng, Xin 11 Borisov, Denis Ivanovich 11 Høegh-Krohn, Raphael J. 11 Hu, Yanbo 11 Kurasov, Pavel B. 11 Šeba, Petr 11 Towers, John D. 11 Wei, Jiao 11 Zhao, Peng 10 Cacciapuoti, Claudio 10 Figari, Rodolfo 10 Lanconelli, Alberto 10 Ostermann, Alexander 9 Cai, Hong 9 He, Guoliang 9 Hu, Qiaoyi 9 Levajković, Tijana 9 Lotoreichik, Vladimir 9 Noja, Diego 9 Schratz, Katharina 9 Seleši, Dora 9 Tang, Hao 8 Chen, Gui-Qiang G. 8 Corli, Andrea 8 Dell’Antonio, Gian Fausto 8 Fermi, Davide 8 Finco, Domenico 8 Fjordholm, Ulrik Skre 8 Hou, Yu 8 Koley, Ujjwal 8 Korotyaev, Evgeny L. 8 Liu, Zhengrong 8 Schwab, Christoph 8 Tian, Lixin 8 Ubøe, Jan 8 Wang, Yujuan 8 Wu, Lihua 8 Zhang, Hongqing 8 Zhou, Shouming 7 Allahyari, Reza 7 Angulo Pava, Jaime 7 Chen, Jinbing 7 Diehl, Stefan 7 Ding, Danping 7 Gao, Yu 7 Jakobsen, Espen Robstad 7 Keimer, Alexander 7 Liu, Jianguo 7 Neidhardt, Hagen 7 Nizhnik, Leonid Pavlovich 7 Pankrashkin, Konstantin ...and 2,775 more Authors all top 5 Cited in 416 Serials 114 Journal of Differential Equations 84 Journal of Mathematical Physics 83 Journal of Mathematical Analysis and Applications 63 Journal of Functional Analysis 53 Communications in Mathematical Physics 49 Discrete and Continuous Dynamical Systems 44 Journal of Computational Physics 42 Journal of Physics A: Mathematical and Theoretical 39 Networks and Heterogeneous Media 36 Theoretical and Mathematical Physics 31 Letters in Mathematical Physics 31 Reports on Mathematical Physics 31 Nonlinear Analysis. 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