## Bressan, Alberto

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 Author ID: bressan.alberto Published as: Bressan, Alberto; Bressan, A.; Bressan, A. jun. more...less Homepage: http://www.math.psu.edu/bressan/index.html External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 244 Publications since 1978, including 4 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 86 Co-Authors with 171 Joint Publications 2,190 Co-Co-Authors
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### Co-Authors

 74 single-authored 21 Shen, Wen 13 Ancona, Fabio 9 Nguyen, Khai T. 7 Chen, Geng 6 Bianchini, Stefano 6 Colombo, Giovanni 6 Piccoli, Benedetto 6 Rampazzo, Franco 5 Baiti, Paolo 5 Bebernes, Jerrold W. 5 Lewicka, Marta 5 Zhang, Qingtian 4 Chiri, Maria Teresa 4 Galtung, Sondre Tesdal 4 Han, Ke 4 Jenssen, Helge Kristian 4 Jiang, Yilun 4 Marson, Andrea 4 Mazzola, Marco 4 Palladino, Michele 4 Sun, Qing 4 Wei, Deling 4 Yang, Tong 3 Coclite, Giuseppe Maria 3 Colombo, Rinaldo M. 3 Constantin, Adrian 3 Facchi, Giancarlo 3 Guerra, Graziano 3 Staicu, Vasile 3 Wang, Zipeng 3 Yu, Fang 3 Zheng, Yuxi 2 Bettiol, Piernicola 2 Cellina, Arrigo 2 Cortesi, Agostino 2 Crasta, Graziano 2 Donadello, Carlotta 2 Flores, Fabián 2 Fonte, Massimo 2 Goatin, Paola 2 Huang, Tao 2 LeFloch, Philippe Gerard 2 Priuli, Fabio Simone 2 Vinter, Richard B. 2 Wang, Dehua 2 Wei, Hongxu 1 Åqvist, Lennart 1 Burago, Maria 1 Čanić, Sunčica 1 Cannarsa, Piermarco 1 Chen, Gui-Qiang G. 1 Clarke, Francis H. 1 De Lellis, Camillo 1 Deforest, Russell 1 Friend, Arthur 1 Fryszkowski, Andrzej 1 Gabbay, Dov M. 1 Galaktionov, Victor Aleksandrovich 1 Garavello, Mauro 1 Glass, Olivier 1 Grunert, Katrin 1 Günthner, Franz 1 Herty, Michael Matthias 1 Hoepelman, Jakob Ph. 1 Holden, Helge 1 Hong, Yunho 1 Huang, Feimin 1 Huang, Yucong 1 Jiang, Yi 1 Jou, Jessica 1 Lacey, Andrew A. 1 Liu, Chen Jie 1 Liu, Hailiang 1 Liu, Tai-Ping 1 Marcati, Pierangelo 1 Marigonda, Antonio 1 Mondadori, F. 1 Murray, Ryan W. 1 Nguyen, Truyen Van 1 Nordli, Anders 1 Raynaud, Xavier 1 Reigstad, Audun 1 Ridder, Johanna 1 Rohrer, Christian 1 Salehi, Najmeh 1 Volpato, Mario 1 Wang, Yong 1 Wolenski, Peter R. 1 Zhang, Dongmei 1 Zhang, Ping 1 Zhang, Tianyou 1 Zhu, Shengguo
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### Serials

 24 Journal of Differential Equations 15 SIAM Journal on Control and Optimization 15 Discrete and Continuous Dynamical Systems 13 Archive for Rational Mechanics and Analysis 7 Rendiconti del Seminario Matematico della Università di Padova 7 SIAM Journal on Mathematical Analysis 7 Networks and Heterogeneous Media 6 Indiana University Mathematics Journal 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Analysis and Applications (Singapore) 5 Journal of Mathematical Analysis and Applications 4 Journal of Optimization Theory and Applications 4 Differential and Integral Equations 4 NoDEA. Nonlinear Differential Equations and Applications 4 Communications in Mathematical Sciences 3 Communications on Pure and Applied Mathematics 3 Studia Mathematica 3 Funkcialaj Ekvacioj. Serio Internacia 3 Proceedings of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Calculus of Variations and Partial Differential Equations 3 Dynamic Games and Applications 3 AIMS Series on Applied Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Set-Valued Analysis 2 SIAM Journal on Financial Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Control and Cybernetics 1 International Journal of Game Theory 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico 1 Chinese Annals of Mathematics. Series B 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Bollettino della Unione Matemàtica Italiana. Supplemento 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Methods and Applications of Analysis 1 Matemática Contemporânea 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Revista Matemática Complutense 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Journal of Hyperbolic Differential Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Graduate Studies in Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Oxford Lecture Series in Mathematics and its Applications 1 Series on Advances in Mathematics for Applied Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 International Journal of Dynamical Systems and Differential Equations 1 Set-Valued and Variational Analysis 1 EMS Surveys in Mathematical Sciences 1 Mathematics in Engineering
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### Fields

 127 Partial differential equations (35-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 55 Ordinary differential equations (34-XX) 43 Systems theory; control (93-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Fluid mechanics (76-XX) 14 Operations research, mathematical programming (90-XX) 12 Mechanics of particles and systems (70-XX) 11 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 8 General topology (54-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

212 Publications have been cited 4,133 times in 2,475 Documents Cited by Year
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
2007
Hyperbolic systems of conservation laws. The one-dimensional Cauchy problem. Zbl 0997.35002
Bressan, Alberto
2000
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
2007
Extensions and selections of maps with decomposable values. Zbl 0677.54013
Bressan, Alberto; Colombo, Giovanni
1988
Vanishing viscosity solutions of nonlinear hyperbolic systems. Zbl 1082.35095
Bianchini, Stefano; Bressan, Alberto
2005
Introduction to the mathematical theory of control. Zbl 1127.93002
Bressan, Alberto; Piccoli, Benedetto
2007
Hyperbolic systems of conservation laws. Zbl 0987.35105
Bressan, Alberto
2000
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
2005
Flows on networks: recent results and perspectives. Zbl 1301.35193
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto
2014
On differential systems with vector-valued impulsive controls. Zbl 0653.49002
Bressan, Alberto; Rampao, Franco
1988
$$L^1$$ stability estimates for $$n\times n$$ conservation laws. Zbl 0938.35093
Bressan, Alberto; Liu, Tai-Ping; Yang, Tong
1999
Well-posedness of the Cauchy problem for $$n\times n$$ systems of conservation laws. Zbl 0958.35001
Bressan, Alberto; Crasta, Graziano; Piccoli, Benedetto
2000
Global solutions of systems of conservation laws by wave-front tracking. Zbl 0779.35067
Bressan, Alberto
1992
Thermal behavior for a confined reactive gas. Zbl 0489.45013
Bebernes, J.; Bressan, A.
1982
Hyperbolic systems of conservation laws. Zbl 0977.35087
Bressan, Alberto
2000
The unique limit of the Glimm scheme. Zbl 0835.35088
Bressan, Alberto
1995
The semigroup generated by $$2 \times 2$$ conservation laws. Zbl 0849.35068
Bressan, Alberto; Colombo, Rinaldo M.
1995
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Total blow-up versus single point blow-up. Zbl 0674.35051
Bebernes, J.; Bressan, A.; Lacey, A.
1988
Impulsive control systems with commutative vector fields. Zbl 0793.49014
Bressan, A. jun.; Rampazzo, F.
1991
Contractive metrics for nonlinear hyperbolic systems. Zbl 0632.35041
Bressan, Alberto
1988
Conservative solutions to a nonlinear variational wave equation. Zbl 1117.35047
Bressan, Alberto; Zheng, Yuxi
2006
Patchy vector fields and asymptotic stabilization. Zbl 0924.34058
Ancona, Fabio; Bressan, Alberto
1999
Uniqueness of weak solutions to systems of conservation laws. Zbl 0903.35039
Bressan, Alberto; LeFloch, Philippe
1997
Impulsive control systems without commutativity assumptions. Zbl 0820.49017
Bressan, A. jun.; Rampazzo, F.
1994
A class of absolute retracts in spaces of integrable functions. Zbl 0747.34014
Bressan, Alberto; Cellina, Arrigo; Fryszkowski, Andrzej
1991
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
2007
On total differential inclusions. Zbl 0821.35158
Bressan, Alberto; Flores, Fabián
1994
Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046
Bressan, Alberto; Holden, Helge; Raynaud, Xavier
2010
An ill-posed Cauchy problem for a hyperbolic system in two space dimensions. Zbl 1114.35123
Bressan, Alberto
2003
Stable blow-up patterns. Zbl 0770.35010
Bressan, Alberto
1992
A lemma and a conjecture on the cost of rearrangements. Zbl 1114.05002
Bressan, Alberto
2003
Impulsive control of Lagrangian systems and locomotion in fluids. Zbl 1139.70013
Bressan, Alberto
2008
Differential inclusions and the control of forest fires. Zbl 1138.34002
Bressan, Alberto
2007
Unique solutions of $$2\times 2$$ conservation laws with large data. Zbl 0852.35092
Bressan, Alberto; Colombo, Rinaldo M.
1995
On the boundary control of systems of conservation laws. Zbl 1026.35075
Bressan, Alberto; Coclite, Giuseppe Maria
2002
Noncooperative differential games. Zbl 1238.49055
Bressan, Alberto
2011
Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws. Zbl 0932.35139
Bressan, Alberto; LeFloch, Philippe G.
1999
Optimal control problems on stratified domains. Zbl 1123.49028
Bressan, Alberto; Hong, Yunho
2007
The semigroup generated by a Temple class system with large data. Zbl 0890.35083
Baiti, P.; Bressan, A.
1997
On the convergence rate of vanishing viscosity approximations. Zbl 1060.35109
Bressan, Alberto; Yang, Tong
2004
A variational calculus for discontinuous solutions of systems of conservation laws. Zbl 0846.35080
Bressan, Alberto; Marson, Andrea
1995
An optimal transportation metric for solutions of the Camassa-Holm equation. Zbl 1133.35054
Bressan, Alberto; Fonte, Massimo
2005
Directionally continuous selections and differential inclusions. Zbl 0676.34014
Bressan, Alberto
1988
Oleinik type estimates and uniqueness for $$n \times n$$ conservation laws. Zbl 0990.35095
Bressan, Alberto; Goatin, Paola
1999
On trajectories satisfying a state constraint: $$W^{1,1}$$ estimates and counterexamples. Zbl 1217.34025
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard
2010
A high order test for optimality of bang-bang controls. Zbl 0557.49011
Bressan, Alberto
1985
Local asymptotic approximation of nonlinear control systems. Zbl 0565.93031
Bressan, Alberto
1985
Unique conservative solutions to a variational wave equation. Zbl 1331.35237
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Uniqueness for discontinuous ODE and conservation laws. Zbl 0948.34006
Bressan, Alberto; Shen, Wen
1998
Unique solutions for a class of discontinuous differential equations. Zbl 0692.34004
Bressan, Alberto
1988
On differential relations with lower continuous right-hand side: An existence theorem. Zbl 0418.34017
Bressan, A.
1980
A multidimensional optimal-harvesting problem with measure-valued solutions. Zbl 1268.49002
Bressan, Alberto; Coclite, Giuseppe Maria; Shen, Wen
2013
Flow stability of patchy vector fields and robust feedback stabilization. Zbl 1055.34094
Ancona, Fabio; Bressan, Alberto
2003
Generalized Baire category and differential inclusions in Banach spaces. Zbl 0655.34013
Bressan, A.; Colombo, G.
1988
The most likely path of a differential inclusion. Zbl 0736.34013
Bressan, Alberto
1990
Semi-cooperative strategies for differential games. Zbl 1098.91019
Bressan, Alberto; Shen, Wen
2004
Small BV solutions of hyperbolic noncooperative differential games. Zbl 1101.91009
Bressan, Alberto; Shen, Wen
2004
Error bounds for a deterministic version of the Glimm scheme. Zbl 0909.65057
Bressan, Alberto; Marson, Andrea
1998
Decay of positive waves in nonlinear systems of conservation laws. Zbl 0906.35059
Bressan, Alberto; Colombo, Rinaldo M.
1998
Shift-differentiability of the flow generated by a conservation law. Zbl 0948.35077
Bressan, Alberto; Guerra, Graziano
1997
On the asymptotic shape of blow-up. Zbl 0705.35014
Bressan, Alberto
1990
Blocking strategies for a fire control problem. Zbl 1160.49043
Bressan, Alberto; Burago, Maria; Friend, Arthur; Jou, Jessica
2008
Generic regularity of conservative solutions to a nonlinear wave equation. Zbl 1375.35062
Bressan, Alberto; Chen, Geng
2017
Moving constraints as stabilizing controls in classical mechanics. Zbl 1304.70028
Bressan, Alberto; Rampazzo, Franco
2010
Singularities of stabilizing feedbacks. Zbl 1024.93048
Bressan, A.
1998
Equivalent formulation and numerical analysis of a fire confinement problem. Zbl 1218.49048
Bressan, Alberto; Wang, Tao
2010
On the qualitative theory of lower semicontinuous differential inclusions. Zbl 0675.34011
Bressan, Alberto
1989
Stability of $$L^ \infty$$ solutions of Temple class systems. Zbl 1047.35095
Bressan, Alberto; Goatin, Paola
2000
On differential systems with quadratic impulses and their applications to Lagrangian mechanics. Zbl 0780.34055
Bressan, Alberto; Rampazzo, Franco
1993
BV estimates for multicomponent chromatography with relaxation. Zbl 1018.35052
Bressan, Alberto; Shen, Wen
2000
Global existence of weak solutions for the Burgers-Hilbert equation. Zbl 1315.35121
Bressan, Alberto; Nguyen, Khai T.
2014
Existence of optimal strategies for a fire confinement problem. Zbl 1198.92045
Bressan, Alberto; de Lellis, Camillo
2009
Representation of dissipative solutions to a nonlinear variational wave equation. Zbl 1335.35192
Bressan, Alberto; Huang, Tao
2015
A locally contractive metric for systems of conservation laws. Zbl 0867.35060
Bressan, Alberto
1995
A maximum principle for optimally controlled systems of conservation laws. Zbl 0935.49012
Bressan, Alberto; Marson, Andrea
1995
A generic classification of time-optimal planar stabilizing feedbacks. Zbl 0910.93044
Bressan, A.; Piccoli, B.
1998
Lipschitz metrics for a class of nonlinear wave equations. Zbl 1386.35273
Bressan, Alberto; Chen, Geng
2017
On traffic flow with nonlocal flux: a relaxation representation. Zbl 1446.35072
Bressan, Alberto; Shen, Wen
2020
The minimum speed for a blocking problem on the half plane. Zbl 1162.92041
Bressan, Alberto; Wang, Tao
2009
Global a priori estimates for a viscous reactive gas. Zbl 0614.76076
Bebernes, J.; Bressan, A.
1985
Upper and lower semicontinuous differential inclusions: A unified approach. Zbl 0704.49011
Bressan, Alberto
1990
Global solutions for the one-dimensional equations of a viscous reactive gas. Zbl 0657.76083
Bressan, Alberto
1986
On discontinuous differential equations. Zbl 1096.34503
Bressan, Alberto; Shen, Wen
1998
A contractive metric for systems of conservation laws with coinciding shock and rarefaction curves. Zbl 0802.35095
Bressan, Alberto
1993
Infinite horizon noncooperative differential games. Zbl 1124.91011
Bressan, Alberto; Priuli, Fabio S.
2006
A sharp decay estimate for positive nonlinear waves. Zbl 1077.35088
Bressan, Alberto; Yang, Tong
2004
Conservation law models for traffic flow on a network of roads. Zbl 1335.49035
Bressan, Alberto; Nguyen, Khai T.
2015
The generic local time-optimal stabilizing controls in dimension 3. Zbl 0593.49029
Bressan, Alberto
1986
On a bang-bang principle for non-linear systems. Zbl 0445.49012
Bressan, Alberto
1980
Trajectories of differential inclusions with state constraints. Zbl 1215.34017
Bressan, Alberto; Facchi, Giancarlo
2011
Existence of optima and equilibria for traffic flow on networks. Zbl 1277.35248
Bressan, Alberto; Han, Ke
2013
Non-existence and non-uniqueness for multidimensional sticky particle systems. Zbl 1311.35192
Bressan, Alberto; Nguyen, Truyen
2014
Upper semicontinuous differential inclusions without convexity. Zbl 0698.34014
Bressan, A.; Cellina, A.; Colombo, G.
1989
On the asymptotic shape of blow-up. Zbl 0798.35020
Bressan, Alberto
1990
On nonconvex perturbations of maximal monotone differential inclusions. Zbl 0820.47072
Bressan, Alberto; Staicu, Vasile
1994
A Baire category approach to the bang-bang property. Zbl 0820.49002
Bressan, Alberto; Piccoli, Benedetto
1995
A uniqueness condition for hyperbolic systems of conservation laws. Zbl 1157.35421
Bressan, Alberto; Lewicka, Marta
2000
Optimality conditions for solutions to hyperbolic balance laws. Zbl 1354.49002
Bressan, Alberto; Shen, Wen
2007
Optima and equilibria for a model of traffic flow. Zbl 1236.90024
Bressan, Alberto; Han, Ke
2011
A posteriori error estimates for self-similar solutions to the Euler equations. Zbl 1460.35268
Bressan, Alberto; Shen, Wen
2021
Entropy admissibility of the limit solution for a nonlocal model of traffic flow. Zbl 1486.35292
Bressan, Alberto; Shen, Wen
2021
A posteriori error estimates for numerical solutions to hyperbolic conservation laws. Zbl 1472.35018
Bressan, Alberto; Chiri, Maria Teresa; Shen, Wen
2021
On traffic flow with nonlocal flux: a relaxation representation. Zbl 1446.35072
Bressan, Alberto; Shen, Wen
2020
On self-similar solutions to the incompressible Euler equations. Zbl 1442.35313
Bressan, Alberto; Murray, Ryan
2020
Variational problems for tree roots and branches. Zbl 1430.49042
Bressan, Alberto; Palladino, Michele; Sun, Qing
2020
Competition models for plant stems. Zbl 1437.49057
Bressan, Alberto; Galtung, Sondre T.; Reigstad, Audun; Ridder, Johanna
2020
Vanishing viscosity solutions for conservation laws with regulated flux. Zbl 1421.35212
Bressan, Alberto; Guerra, Graziano; Shen, Wen
2019
Feedback stabilization of stem growth. Zbl 1420.35036
Ancona, Fabio; Bressan, Alberto; Glass, Olivier; Shen, Wen
2019
Approximation of sweeping processes and controllability for a set-valued evolution. Zbl 1425.93038
Bressan, Alberto; Mazzola, Marco; Nguyen, Khai T.
2019
On the competitive harvesting of marine resources. Zbl 1430.35097
Bressan, Alberto; Staicu, Vasile
2019
On the generic structure and stability of Stackelberg equilibria. Zbl 1429.91014
Bressan, Alberto; Jiang, Yilun
2019
On the optimal shape of tree roots and branches. Zbl 1411.49029
Bressan, Alberto; Sun, Qing
2018
A model of controlled growth. Zbl 1384.35133
Bressan, Alberto; Lewicka, Marta
2018
Well-posedness of a model for the growth of tree stems and vines. Zbl 1397.49028
2018
The vanishing viscosity limit for a system of H-J equations related to a debt management problem. Zbl 1471.91630
Bressan, Alberto; Jiang, Yilun
2018
On finite time BV blow-up for the p-system. Zbl 1418.35042
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2018
Optimal open-loop strategies in a debt management problem. Zbl 1379.49001
Bressan, Alberto; Jiang, Yilun
2018
Stability of feedback solutions for infinite horizon noncooperative differential games. Zbl 1390.91060
Bressan, Alberto; Nguyen, Khai T.
2018
Generic regularity of conservative solutions to a nonlinear wave equation. Zbl 1375.35062
Bressan, Alberto; Chen, Geng
2017
Lipschitz metrics for a class of nonlinear wave equations. Zbl 1386.35273
Bressan, Alberto; Chen, Geng
2017
Piecewise smooth solutions to the Burgers-Hilbert equation. Zbl 1356.35066
Bressan, Alberto; Zhang, Tianyou
2017
A stochastic model of optimal debt management and bankruptcy. Zbl 1386.49052
Bressan, Alberto; Marigonda, Antonio; Nguyen, Khai T.; Palladino, Michele
2017
Growth models for tree stems and vines. Zbl 1372.35305
Bressan, Alberto; Palladino, Michele; Shen, Wen
2017
The Riemann solver for traffic flow at an intersection with buffer of vanishing size. Zbl 1365.90093
Bressan, Alberto; Nordli, Anders
2017
An equilibrium model of debt and bankruptcy. Zbl 1353.49050
Bressan, Alberto; Nguyen, Khai T.
2016
Uniqueness of conservative solutions for nonlinear wave equations via characteristics. Zbl 1337.35002
Bressan, Alberto
2016
Dynamic stability of the Nash equilibrium for a bidding game. Zbl 1344.49027
Bressan, Alberto; Wei, Hongxu
2016
Random extremal solutions of differential inclusions. Zbl 1358.34029
Bressan, Alberto; Staicu, Vasile
2016
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Unique conservative solutions to a variational wave equation. Zbl 1331.35237
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Representation of dissipative solutions to a nonlinear variational wave equation. Zbl 1335.35192
Bressan, Alberto; Huang, Tao
2015
Conservation law models for traffic flow on a network of roads. Zbl 1335.49035
Bressan, Alberto; Nguyen, Khai T.
2015
Continuous Riemann solvers for traffic flow at a junction. Zbl 1332.35371
Bressan, Alberto; Yu, Fang
2015
Optima and equilibria for traffic flow on networks with backward propagating queues. Zbl 1326.49063
Bressan, Alberto; Nguyen, Khai T.
2015
Structurally stable singularities for a nonlinear wave equation. Zbl 1339.35232
Bressan, Alberto; Huang, Tao; Yu, Fang
2015
No BV bounds for approximate solutions to $$p$$-system with general pressure law. Zbl 1347.35159
Bressan, Alberto; Chen, Geng; Zhang, Qingtian; Zhu, Shengguo
2015
Flows on networks: recent results and perspectives. Zbl 1301.35193
Bressan, Alberto; Čanić, Sunčica; Garavello, Mauro; Herty, Michael; Piccoli, Benedetto
2014
Global existence of weak solutions for the Burgers-Hilbert equation. Zbl 1315.35121
Bressan, Alberto; Nguyen, Khai T.
2014
Non-existence and non-uniqueness for multidimensional sticky particle systems. Zbl 1311.35192
Bressan, Alberto; Nguyen, Truyen
2014
A semigroup approach to an integro-differential equation modeling slow erosion. Zbl 1302.35246
Bressan, Alberto; Shen, Wen
2014
Discrete bidding strategies for a random incoming order. Zbl 1344.49026
Bressan, Alberto; Facchi, Giancarlo
2014
Graph completions for impulsive feedback controls. Zbl 1307.93161
Bressan, Alberto; Mazzola, Marco
2014
Lack of BV bounds for approximate solutions to the $$p$$-system with large data. Zbl 1288.35339
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2014
A bidding game with heterogeneous players. Zbl 1307.91085
Bressan, Alberto; Wei, Deling
2014
A multidimensional optimal-harvesting problem with measure-valued solutions. Zbl 1268.49002
Bressan, Alberto; Coclite, Giuseppe Maria; Shen, Wen
2013
Existence of optima and equilibria for traffic flow on networks. Zbl 1277.35248
Bressan, Alberto; Han, Ke
2013
Lecture notes on functional analysis. With applications to linear partial differential equations. Zbl 1268.46001
Bressan, Alberto
2013
A bidding game in a continuum limit order book. Zbl 1280.49027
Bressan, Alberto; Facchi, Giancarlo
2013
Extremal solutions of differential inclusions via Baire category: a dual approach. Zbl 1287.34007
Bressan, Alberto
2013
Examples of nonclassical feedback control problems. Zbl 1269.49070
Bressan, Alberto; Wei, Deling
2013
Stackelberg solutions of feedback type for differential games with random initial data. Zbl 1280.91025
Bressan, Alberto; Wei, Deling
2013
Nash equilibria for a model of traffic flow with several groups of drivers. Zbl 1262.35199
Bressan, Alberto; Han, Ke
2012
Control problems for a class of set valued evolutions. Zbl 1259.28016
Bressan, Alberto; Zhang, Dongmei
2012
On the convergence rate of vanishing viscosity approximations for nonlinear hyperbolic systems. Zbl 1264.35017
Bressan, Alberto; Huang, Feimin; Wang, Yong; Yang, Tong
2012
On the optimal strategy for an isotropic blocking problem. Zbl 1248.49012
Bressan, Alberto; Wang, Tao
2012
Global optimality conditions for a dynamic blocking problem. Zbl 1258.49030
Bressan, Alberto; Wang, Tao
2012
Non-classical problems of optimal feedback control. Zbl 1244.93173
Bressan, Alberto; Wei, Deling
2012
Variational analysis of Nash equilibria for a model of traffic flow. Zbl 1250.35173
Bressan, Alberto; Liu, Chen Jie; Shen, Wen; Yu, Fang
2012
Noncooperative differential games. Zbl 1238.49055
Bressan, Alberto
2011
Trajectories of differential inclusions with state constraints. Zbl 1215.34017
Bressan, Alberto; Facchi, Giancarlo
2011
Optima and equilibria for a model of traffic flow. Zbl 1236.90024
Bressan, Alberto; Han, Ke
2011
Estimates for trajectories confined to a cone in $$\mathbb {R}^{n}$$. Zbl 1231.34024
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard B.
2011
Measure-valued solutions to a harvesting game with several players. Zbl 1218.91132
Bressan, Alberto; Shen, Wen
2011
Multidimensional graph completions and Cellina approximable multifunctions. Zbl 1222.49008
Bressan, Alberto; Deforest, Russell
2011
Open questions in the theory of one dimensional hyperbolic conservation laws. Zbl 1251.35045
Bressan, Alberto
2011
Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046
Bressan, Alberto; Holden, Helge; Raynaud, Xavier
2010
On trajectories satisfying a state constraint: $$W^{1,1}$$ estimates and counterexamples. Zbl 1217.34025
Bettiol, Piernicola; Bressan, Alberto; Vinter, Richard
2010
Moving constraints as stabilizing controls in classical mechanics. Zbl 1304.70028
Bressan, Alberto; Rampazzo, Franco
2010
Equivalent formulation and numerical analysis of a fire confinement problem. Zbl 1218.49048
Bressan, Alberto; Wang, Tao
2010
Bifurcation analysis of a non-cooperative differential game with one weak player. Zbl 1185.91045
Bressan, Alberto
2010
Existence of optimal strategies for a fire confinement problem. Zbl 1198.92045
Bressan, Alberto; de Lellis, Camillo
2009
The minimum speed for a blocking problem on the half plane. Zbl 1162.92041
Bressan, Alberto; Wang, Tao
2009
Classical solutions to differential inclusions with totally disconnected right-hand side. Zbl 1170.34013
Bressan, Alberto; Wang, Zipeng
2009
From optimal control to non-cooperative differential games: a homotopy approach. Zbl 1235.91023
Bressan, A.
2009
Measure-valued solutions for a differential game related to fish harvesting. Zbl 1176.49039
Bressan, Alberto; Shen, Wen
2009
On the controllability of Lagrangian systems by active constraints. Zbl 1165.70024
Bressan, Alberto; Wang, Zipeng
2009
Impulsive control of Lagrangian systems and locomotion in fluids. Zbl 1139.70013
Bressan, Alberto
2008
Blocking strategies for a fire control problem. Zbl 1160.49043
Bressan, Alberto; Burago, Maria; Friend, Arthur; Jou, Jessica
2008
Nearly optimal patchy feedbacks. Zbl 1396.49002
Bressan, Alberto; Priuli, Fabio S.
2008
Patchy feedbacks for stabilization and optimal control: general theory and robustness properties. Zbl 1206.93083
Ancona, F.; Bressan, A.
2008
Singular limits for impulsive Lagrangian systems with dissipative sources. Zbl 1350.70041
Bressan, Alberto
2008
Global conservative solutions of the Camassa-Holm equation. Zbl 1105.76013
2007
Global dissipative solutions of the Camassa-Holm equation. Zbl 1139.35378
2007
Introduction to the mathematical theory of control. Zbl 1127.93002
Bressan, Alberto; Piccoli, Benedetto
2007
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
2007
Differential inclusions and the control of forest fires. Zbl 1138.34002
Bressan, Alberto
2007
Optimal control problems on stratified domains. Zbl 1123.49028
Bressan, Alberto; Hong, Yunho
2007
Optimality conditions for solutions to hyperbolic balance laws. Zbl 1354.49002
Bressan, Alberto; Shen, Wen
2007
Tutorial on the center manifold theorem. Zbl 1293.34054
Bressan, Alberto
2007
On the intersection of a Clarke cone with a Boltyanskii cone. Zbl 1127.49018
Bressan, Alberto
2007
Nearly time optimal stabilizing patchy feedbacks. (Feedback de type patchy stabilisant en temps presque optimal.) Zbl 1158.93388
Ancona, Fabio; Bressan, Alberto
2007
BV solutions to hyperbolic systems by vanishing viscosity. Zbl 1125.35062
Bressan, Alberto
2007
On the formation of scalar viscous shocks problem. Zbl 1161.35444
2007
Conservative solutions to a nonlinear variational wave equation. Zbl 1117.35047
Bressan, Alberto; Zheng, Yuxi
2006
Infinite horizon noncooperative differential games. Zbl 1124.91011
Bressan, Alberto; Priuli, Fabio S.
2006
An instability of the Godunov scheme. Zbl 1122.35074
Bressan, Alberto; Jenssen, Helge Kristian; Baiti, Paolo
2006
Unique solutions of discontinuous O.D.E.’s in Banach spaces. Zbl 1108.34054
Bressan, Alberto; Shen, Wen
2006
Vanishing viscosity solutions of nonlinear hyperbolic systems. Zbl 1082.35095
Bianchini, Stefano; Bressan, Alberto
2005
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
2005
...and 112 more Documents
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### Cited by 2,229 Authors

 104 Bressan, Alberto 78 Yin, Zhaoyang 59 Colombo, Rinaldo M. 34 Ntouyas, Sotiris K. 32 Piccoli, Benedetto 30 Ahmad, Bashir 26 Papageorgiou, Nikolaos S. 26 Schättler, Heinz Michael 25 Mu, Chunlai 23 Herty, Michael Matthias 22 Ancona, Fabio 22 Chen, Geng 22 Coclite, Giuseppe Maria 22 Mi, Yongsheng 22 Shao, Zhiqiang 22 Shen, Wen 21 Garavello, Mauro 21 Holden, Helge 21 Ledzewicz, Urszula 20 Amadori, Debora 20 Bianchini, Stefano 20 Sarrico, Carlos Orlando R. 19 Corli, Andrea 19 Liu, Yue 18 Goatin, Paola 17 Guerra, Graziano 17 Motta, Monica 17 Qiao, Zhijun 17 Tian, Lixin 16 Grunert, Katrin 16 Rosini, Massimiliano Daniele 16 Zhou, Shouming 15 Nguyen, Khai T. 14 Himonas, A. Alexandrou 14 Yang, Tong 13 Al-saedi, Ahmed Eid Salem 13 Chen, Gui-Qiang G. 13 Guan, Chunxia 13 Hu, Qiaoyi 13 Lai, Shaoyong 13 Rampazzo, Franco 12 Cernea, Aurelian 12 Crippa, Gianluca 12 Ding, Min 12 Guo, Boling 12 Jenssen, Helge Kristian 12 Risebro, Nils Henrik 12 Yan, Kai 11 Colombo, Giovanni 11 Göttlich, Simone 11 Guo, Zhengguang 11 Jiang, Zaihong 11 Lobo Pereira, Fernando 11 Raynaud, Xavier 11 Shen, Chunyu 11 Spinolo, Laura V. 11 Staritsyn, Maksim Vladimirovich 11 Trélat, Emmanuel 10 Christoforou, Cleopatra C. 10 Coron, Jean-Michel 10 Keimer, Alexander 10 Li, Yongsheng 10 Marcellini, Francesca 10 Pianigiani, Giulio 10 Yan, Wei 10 Zhang, Yongqian 9 Benchohra, Mouffak 9 Boscain, Ugo 9 De Blasi, Francesco Saverio 9 De Lellis, Camillo 9 Donadello, Carlotta 9 Frankowska, Hélène 9 Galaktionov, Victor Aleksandrovich 9 Gugat, Martin 9 Hu, Yanbo 9 LeFloch, Philippe Gerard 9 Li, Jinlu 9 Marson, Andrea 9 Mazzola, Marco 9 Staicu, Vasile 9 Vasseur, Alexis F. 9 Yang, Shaojie 9 Zaag, Hatem 9 Zhang, Qingtian 9 Zhu, Min 8 Agarwal, Ravi P. 8 Dacorogna, Bernard 8 D’Apice, Ciro 8 Glass, Olivier 8 Górniewicz, Lech 8 Gwiazda, Piotr 8 Karlsen, Kenneth Hvistendahl 8 Liu, Jianguo 8 Liu, Zhengrong 8 Nedeljkov, Marko 8 Nguyen, Van Tien 8 Novruzov, Emil B. 8 O’Regan, Donal 8 Priuli, Fabio Simone 8 Rossi, Francesco ...and 2,129 more Authors
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### Cited in 367 Serials

 202 Journal of Differential Equations 133 Journal of Mathematical Analysis and Applications 108 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 66 Discrete and Continuous Dynamical Systems 61 Archive for Rational Mechanics and Analysis 61 Journal of Mathematical Physics 57 Journal of Hyperbolic Differential Equations 45 SIAM Journal on Mathematical Analysis 45 Nonlinear Analysis. Real World Applications 41 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 38 SIAM Journal on Control and Optimization 33 Applicable Analysis 33 Journal of Optimization Theory and Applications 33 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 33 Networks and Heterogeneous Media 29 Communications in Partial Differential Equations 26 Abstract and Applied Analysis 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Quarterly of Applied Mathematics 24 NoDEA. Nonlinear Differential Equations and Applications 23 Journal of Computational Physics 23 Automatica 23 Journal of Functional Analysis 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Monatshefte für Mathematik 21 Advances in Difference Equations 20 Communications in Mathematical Physics 20 Journal of Mathematical Sciences (New York) 18 Systems & Control Letters 18 SIAM Journal on Applied Mathematics 17 Proceedings of the American Mathematical Society 17 Journal of Nonlinear Mathematical Physics 17 Boundary Value Problems 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Acta Applicandae Mathematicae 16 Journal of Nonlinear Science 15 Mathematical Methods in the Applied Sciences 15 Applied Mathematics and Computation 15 Applied Mathematics Letters 15 Journal of Dynamical and Control Systems 15 Set-Valued and Variational Analysis 14 Rendiconti del Seminario Matematico della Università di Padova 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Calculus of Variations and Partial Differential Equations 14 Journal of Mathematical Fluid Mechanics 14 Nonlinear Analysis. Theory, Methods & Applications 13 Computers & Mathematics with Applications 13 Chinese Annals of Mathematics. Series B 12 Nonlinearity 12 Journal of Computational and Applied Mathematics 12 MCSS. Mathematics of Control, Signals, and Systems 12 Journal of Dynamics and Differential Equations 12 Discrete and Continuous Dynamical Systems. Series S 11 Mathematics of Computation 11 Applied Mathematics and Optimization 11 Physica D 11 Dynamic Games and Applications 10 Bulletin of the Brazilian Mathematical Society. New Series 10 Mathematical Control and Related Fields 9 Communications on Pure and Applied Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Scientific Computing 9 Bulletin of the American Mathematical Society. New Series 9 Journal of Evolution Equations 9 Discrete and Continuous Dynamical Systems. Series B 9 Acta Mathematica Scientia. Series B. (English Edition) 9 Analysis and Applications (Singapore) 8 Acta Mathematicae Applicatae Sinica. English Series 8 Set-Valued Analysis 8 Advances in Mathematical Physics 7 Advances in Mathematics 7 BIT 7 Czechoslovak Mathematical Journal 7 Transactions of the American Mathematical Society 7 Automation and Remote Control 7 European Journal of Control 7 Communications on Pure and Applied Analysis 7 Proceedings of the Steklov Institute of Mathematics 6 Mathematical Notes 6 Applied Numerical Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 SIAM Journal on Scientific Computing 6 Journal of Inequalities and Applications 6 Journal of Applied Mathematics and Computing 6 Mathematical Biosciences and Engineering 5 Journal of Engineering Mathematics 5 Journal of Geometry and Physics 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Mathematische Annalen 5 SIAM Journal on Numerical Analysis 5 Siberian Mathematical Journal 5 Studies in Applied Mathematics 5 Mathematical and Computer Modelling 5 Journal of Global Optimization 5 Russian Journal of Mathematical Physics 5 Fractional Calculus & Applied Analysis 5 Mediterranean Journal of Mathematics 5 Mathematical Modelling of Natural Phenomena 5 Kinetic and Related Models 5 Science China. Mathematics ...and 267 more Serials
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### Cited in 50 Fields

 1,633 Partial differential equations (35-XX) 464 Fluid mechanics (76-XX) 406 Calculus of variations and optimal control; optimization (49-XX) 377 Ordinary differential equations (34-XX) 275 Systems theory; control (93-XX) 193 Numerical analysis (65-XX) 141 Operations research, mathematical programming (90-XX) 139 Dynamical systems and ergodic theory (37-XX) 136 Operator theory (47-XX) 97 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 94 Biology and other natural sciences (92-XX) 52 Probability theory and stochastic processes (60-XX) 52 Mechanics of deformable solids (74-XX) 40 Real functions (26-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Statistical mechanics, structure of matter (82-XX) 34 Differential geometry (53-XX) 31 General topology (54-XX) 30 Integral equations (45-XX) 30 Functional analysis (46-XX) 28 Measure and integration (28-XX) 28 Mechanics of particles and systems (70-XX) 20 Classical thermodynamics, heat transfer (80-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 13 Computer science (68-XX) 13 Optics, electromagnetic theory (78-XX) 11 Geophysics (86-XX) 8 Manifolds and cell complexes (57-XX) 8 Quantum theory (81-XX) 8 Relativity and gravitational theory (83-XX) 7 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 7 Statistics (62-XX) 5 Nonassociative rings and algebras (17-XX) 5 Approximations and expansions (41-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Topological groups, Lie groups (22-XX) 4 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX)

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