Here is my updated list of publications.
Books
 Hyperbolic Systems of Conservation Laws. The One Dimensional Cauchy Problem (bookcover.html).
 Introduction to the Mathematical Theory of Control (leaflet.pdf) (a list of misprints.pdf) .

Lecture Notes on Functional Analysis, with Applications to Linear Partial Differential Equations
(bookcover.html)
(a list of misprints.pdf).
For instructors, a complete set of solutions to the 180 homework problems is available upon request.
Selected Research papers
 On hyperbolic conservation laws
 On nonlinear wave equations
 On PDE models of biological growth
 On conservation law models of traffic flow
 On noncooperative games
 On mathematical models in finance
 On control theory
 On differential inclusions and discontinuous ODEs
 On dynamic blocking problems
On hyperbolic conservation laws
 On the finite time BV blowup
for the psystem
submitted (with G.Chen and Q.Zhang).
 No BV bounds for approximate solutions
to psystem with general pressure law
J. Hyperbolic Diff. Equat., 12 (2015), 118 (with G.Chen, Q.Zhang, and S.Zhu).
 Lack of BV bounds for approximate solutions
to the psystem with large data
J. Differential Equations, 256 (2014), 30673085 (with G.Chen and Q.Zhang).
 On the convergence of viscous approximations
after shock interactions.
Discr. Cont. Dynam. Syst. 23 (2009), 2948 (with C.Donadello).
 Optimality conditions for
solutions to hyperbolic balance laws,
in ``Control Methods
in PDE  Dynamical Systems'',
F.Ancona, I.Lasieka, W.Littman, and R.Triggiani eds., AMS Contemporary Mathematics 426 (2007), 129152 (with W.Shen).

BV instability of the Godunov scheme,
Comm. Pure Appl. Math. 59 (2006), 16041638 (with P.Baiti and H.K.Jenssen).
 Instability of travelling wave profiles for
the LaxFriedrichs scheme
Discr. Cont. Dynam. Syst., 13 (2005), 877899 (with P.Baiti and H.K.Jenssen).

Vanishing viscosity solutions of nonlinear hyperbolic systems,
Annals of Mathematics, 161 (2005), 223342 (with S.Bianchini).
 On the rate of convergence of vanishing viscosity
approximations,
Comm. Pure Appl. Math. 57 (2004), 10751109 (with T.Yang).
 A sharp decay estimate for nonlinear positive waves,
SIAM J. Math. Analysis, 36 (2004), 659677 (with T.Yang).

An ill posed Cauchy problem for a
hyperbolic system in two space dimensions,
Rend. Sem. Mat. Univ. Padova, 110 (2003), 103117.
 A lemma and a conjecture on the cost of rearrangements,
Rend. Sem. Mat. Univ. Padova, 110 (2003), 97102.

On the boundary control of systems of conservation laws,
SIAM J. Control Optim. 41 (2002), 607622 (with G.~M.~Coclite).
 Error bounds for a deterministic version of the Glimm scheme,
Arch. Rational Mech. Anal. 142 (1998), 155176 (with A.Marson).
 A maximum principle for optimally controlled
systems of conservation laws,
Rend. Sem. Mat. Univ. Padova 94 (1995), 7994 (with A.Marson).
 A variational calculus
for discontinuous
solutions of conservative systems,
Comm. Part. Diff. Equat. 20 (1995), 14911552 (with A.Marson).
 A locally contractive metric for systems of conservation laws,
Ann. Scuola Normale Sup. Pisa, Serie IV, Vol. XXII (1995), 109135.
On nonlinear wave equations

Piecewise smooth solutions to the BurgersHilbert equations
Comm. Math. Sci., 15 (2017), 165184 (with Tianyou Zhang).

Lipschitz metrics for a class of nonlinear wave equations
Arch. Rational Mech. Anal., 226 (2017), 13031343 (with Geng Chen).

Representation of dissipative solutions to a nonlinear
variational wave equation
Comm. Math. Sci. 14 (2016), 3153 (with T.Huang).

Structurally stable singularities for a nonlinear wave equation
Bull. Inst. Math. Acad. Sinica, 10 (2015), 449478 (with Tao Huang and Fang Yu).

Generic regularity of conservative solutions to a nonlinear wave equation
Ann. Inst. H. Poincare, to appear (with G.Chen).

Unique solutions to a variational wave equation
Arch. Rational Mech. Anal. 217 (2015), 10691101 (with G.Chen and Q.Zhang).

Global existence of weak solutions for the BurgersHilbert equation,
SIAM J. Math. Analysis, 46 (2014), 28842904 (with K.Nguyen).

A semigroup approach to an integrodifferential equation modeling slow erosion
J. Differential Equations 257 (2014), 23602403 (with W.Shen).
 Uniqueness of conservative solutions
to the CamassaHolm equation via characteristics
Discr. Cont. Dyn. Syst. 35 (2015), 2542 (with G.Chen and Q.Zhang).
 Nonexistence and nonuniqueness for
multidimensional sticky particle systems.
Kinetic Rel. Models, 7 (2014), 205218 (with T.V.Nguyen).
 Lipschitz metric for the HunterSaxton equation,
J. Mathematiques Pures Appliques, 94 (2010), 6892 (with H.Holden and X.Raynaud).

Asymptotic variational wave equations
Arch. Rat. Mech. Anal., 183 (2007), 163185 (with P.Zhang and Y.Zheng).
 Global dissipative solutions to the CamassaHolm equation,
Analysis and Applications 5 (2007), 127 (with A.Constantin).
 Global conservative solutions to the CamassaHolm equation,
Arch. Rat. Mech. Anal. 183 (2007), 215239 (with A.Constantin).
 Conservative solutions to a nonlinear variational wave equation,
Comm. Math. Phys. 266 (2006), 471497 (with Y.Zheng).

An optimal transportation metric for solutions of the
CamassaHolm equation,
Methods and Applications of Analysis, 12 (2005), 191220 (with M.Fonte).
On PDE models of biological growth

Wellposedness of a model for the growth of tree stems and vines.
Discr. Cont. Dyn. Syst., to appear (with M.Palladino).

Feedback stabilization of stem growth
J. Dynamics and Differential Equations,to appear (with F.Ancona, O.Glass, and W.Shen).

Growth models for tree stems and vines,
J. Differential Equations 263 (2017), 22802316 (with M.Palladino and W.Shen).

A model of controlled growth,
Arch. Rational Mech. Anal., to appear (with M.Lewicka).
On conservation law models of traffic flow

The Riemann Solver for traffic flow at
an intersection
with buffer of vanishing size
Networks & Heterogenous Media, 12 (2017), 173189 (with Anders Nordli).

Optima and
equilibria for traffic flow on networks
with backward propagating queues
Networks & Heterogenous Media 10 (2015), 717748 (with Khai Nguyen).

Conservation law models for traffic flow on a network of roads
Networks & Heterogenous Media 10 (2015), 255293 (with Khai Nguyen).

Continuous Riemann solvers for traffic flow at a junction
Discrete & Cont. Dynam. Syst. 35 (2015), 41494171 (with Fang Yu).

Existence of optima and equilibria for traffic flow on networks
Networks & Heter. Media 8 (2013), 627648 (with Ke Han).

Nash
equilibria for a model of traffic flow
with several groups of drivers,
ESAIM; Control, Optim. Calc. Var., 18 (2012), 969986 (with Ke Han).

Variational analysis of Nash equilibria for a model of traffic flow
Quarterly Appl. Math. 70 (2012), 495515 (with C.J.Liu, W.Shen, and F.Yu).

Optima and equilibria for a model of traffic flow
SIAM J. Math. Anal., 43 (2011), 23842417 (with Ke Han).
On noncooperative games

Stability of feedback solutions for infinite horizon noncooperative
differential games,
Dynamic Games & Appl., to appear (with K.Nguyen).

Stackelberg solutions of feedback type for differential games with random initial data.
Dynamic Games & Appl. 3 (2013), 341358 (with D.Wei).
 On the stability of the best reply map for
noncooperative differential games.
Analysis & Appl. 10 (2012), 113132 (with Z.Wang).
 Measure valued solutions to a harvesting game
with several players.
Advances in Dynamic Games, 11 (2011), 399423 (with W.Shen).
 Semicooperative strategies for differential games,
Intern. J. Game Theory, 32 (2004), 561593 (with W.Shen).
 Small BV solutions of hyperbolic noncooperative differential games.
SIAM J. Control Optim. 43 (2004), 104215 (with W.Shen).
On mathematical models in finance

A dynamic model of the limit order book,
submitted (with M.Mazzola and H.Wei).

A stochastic model of optimal debt management and bankruptcy,
SIAM J. Math. Finance 8 (2017), 841873 (with A.Marigonda, K.Nguyen, and M.Palladino).

Optimal openloop strategies in a debt management problem,
Analysis and Applications, to appear (with Y.Jiang).

An equilibrium model of debt and bankruptcy,
ESAIM; Control, Optimization and Calculus of Variations, 22 (2016), 953982 (with K.Nguyen).

Dynamic stability of the Nash equilibrium for a bidding game,
Analysis & Applications (2015) 124 (with H.Wei).

A bidding game with heterogeneous players,
J. Optim. Theory Appl., 163 (2014), 10181048 (with D.Wei).

Discrete bidding strategies for a random incoming order
SIAM J. Financial Math., 5 (2014), 5070 (with G.Facchi).

A bidding game in a continuum limit order book
SIAM J. Control Optim. 51 (2013), 34593485 (with G.Facchi).
On control theory

The vanishing viscosity limit for a system of HJ
equations related to a debt management problem
Discr. Cont. Dyn. Syst.  Series S, to appear (with Y.Jiang).

The BangBang theorem via Baire category.
A Dual Approach.
Nonlin. Diff. Equat. Appl., 23 (2016) (with M.Mazzola and K.Nguyen).
 Graph completions for impulsive
feedback controls,
J. Math. Anal. Appl., 412 (2014), 976988 (with M.Mazzola).

On the control of nonholonomic systems by active constraints
Discr. Cont. Dyn. Syst. 33 (2013), 33293353 (with Ke Han and F.Rampazzo).

A multidimensional optimal harvesting problem with measure valued solutions.
SIAM J. Control Optim. 51 (2013), 11861202 (with G.Coclite and W.Shen).

Control problems for a class of set valued evolutions.
Set Valued, Var. Anal. 20 (2012), 581601 (with D.Zhang).
 On the controllability of
Lagrangian systems
by active constraints.
J. Differential Equations, 247 (2009), 543563 (with Z.Wang).
 Nearly optimal patchy
feedbacks,
Discr. Cont. Dynam. Syst. 21 (2008), 687701 (with F.S.Priuli).

Optimal control problems on stratified domains,
Networks and Heterogeneous Media 2 (2007), 313331 (with Y.Hong).
 Optimality conditions for
solutions to hyperbolic balance laws,
in ``Control Methods in PDE  Dynamical Systems'', F.Ancona, I.Lasieka, W.Littman, and R.Triggiani eds.,
AMS Contemporary Mathematics 426 (2007), 129152 (with W.Shen).
 On the intersection of a
Clarke cone with a Boltyanskii cone,
SIAM J. Control Optim. 45 (2007), 20542064.

Flow stability of patchy vector fields,
SIAM J. Control Optim., 41 (2003), 14551476. (with F.Ancona).

Patchy vector fields and asymptotic stabilization,
ESAIM; Control, Optimization and Calculus of Variations 4 (1999), 445471 (with F.Ancona).
 A Baire category
approach to the bangbang property,
J. Differential Equations 116 (1995), 318337 (with B. Piccoli).

On differential systems with vectorvalued impulsive controls,
Boll. Un. Matematica Italiana 2B, (1988), 641656 (with F.Rampazzo).
On differential inclusions and discontinuous ODEs

Random extremal solutions of differential inclusions
Nonlin. Diff. Equati. Appl., 23 (2016), 116 (with V.Staicu).
 Extremal solutions to differential inclusions via Baire category:
a dual approach.
J. Differential Equations 255 (2013), 23922399.

Multidimensional graph completions and
Cellina approximable multifunctions,
Rocky Mountain J. Math. 41 (2011), 411444 (with R.DeForest).
 Trajectories of
differential inclusions with state constraints,
J. Differential Equations 250 (2011), 22672281 (with G.Facchi).
 Classical solutions to differential
inclusions with totally
disconnected right hand side.
J. Differential Equations, 246 (2009), 629640 (with Z.Wang).

On discontinuous differential equations,
in ``Differential Inclusions and Optimal Control'', J.Andres, L.Gorniewicz and P.Nistri Eds.,
J.Schauder Center, Lecture Notes in Nonlinear Analysis 2 (1998), 7387 (with W.Shen).
 Extremal selections of multifunctions generating a continuous flow,
Annal. Polon. Mat. LX.2 (1994) (with G.Crasta).

On total differential inclusions,
Rend. Sem. Mat. Univ. Padova 92 (1994), 916 (with F.Flores).

A class of absolute retracts in spaces of integrable functions.
Proc. Amer. Math. Soc. 112 (1991), 413418 (with A.Cellina and A.Fryszkowski)

The most likely path of a differential inclusion,
J. Differential Equations 88 (1990), 155174.

Existence and continuous dependence
for discontinuous O.D.E.'s,
Boll. Un. Mat. Ital. 4B (1990), 295311 (with G.Colombo).

Generalized Baire category and differential inclusions in Banach spaces,
J. Differential Equations, 76 (1988), 135158 (with G.Colombo).

Unique solutions for a class of discontinuous differential equations,
Proc. Amer. Math. Soc. 104 (1988), 772778.

Extensions and selections of maps with decomposable values,
Studia Mathematica, XC (1988), 6986 (with G.Colombo).
On dynamic blocking problems
 On the optimal strategy for an isotropic blocking problem.
Calculus of Variations & PDE, 45 (2012), 125145 (with T.Wang).

Global necessary conditions for a dynamic
blocking problem,
ESAIM; Control, Optimization and Calculus of Variations, 18 (2012), 124156 (with T.Wang).
 Equivalent formulation and numerical analysis
of a fire confinement problem,
ESAIM; Control, Optimization and Calculus of Variations, 16 (2010), 9741001 (with T.Wang).
 Existence of optimal strategies
for a fire confinement problem.
Comm. Pure Appl. Math. 62 (2009), 789830 (with C.De Lellis).
 The minimum speed for a blocking problem on the half plane.
J. Math. Anal. Appl. 356 (2009), 133144 (with T.Wang).
 Blocking strategies for
a fire control problem,
Analysis and Applications, 6 (2008), 229246 (with M.Burago, A.Friend, and J.Jou).
 Differential inclusions and the control of forest fires,
J. Differential Equations (special volume in honor of A.Cellina and J.Yorke), 243 (2007), 179207.