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PAPERS


CONTROL FOR CONSERVATION LAWS

F. Ancona, A. Marson, On the attainable set for scalar nonlinear conservation laws with boundary control,
SIAM J. Control Optim., Vol. 36 (1998),  290-312.

F. Ancona, A. Marson, Scalar nonlinear conservation laws with integrable boundary data,
Nonlinear Analysis, Theory Methods & Applications, Vol. 35 (1999), 687-710

A. Bressan, A. Marson, A maximum principle for optimally controlled systems of conservation laws,
Rend. Sem. Mat. Univ. Padova, Vol. 94 (1995), 79-94

F. Ancona, A. Marson, On the stabilizability of systems of conservation laws with complete controllable boundary, preprint (2006)


WELL-POSEDNESS THEORY FOR CONSERVATION LAWS

F. Ancona, A. Marson, A note on the Riemann problem for general nxn conservation laws,
J. Math. Anal. Appl., Vol. 260 (2001), 279-293.

F. Ancona, A. Marson, Well-posedness for general 2x2 systems of conservation laws,
Memoirs Amer. Math. Soc., Vol. 169, no. 801 (2004).

A. Bressan, A. Marson, A variational calculus for discontinuous solutions of systems of conservation laws,
Comm. in Partial Differential Equations, Vol. 20 (1995), 1491-1552.

C. Donadello, A. Marson, Stability of front tracking solutions to the initial and boundary value problem for systems of conservation laws,
to appear on NoDEA.


EXISTENCE OF SOLUTIONS FOR CONSERVATION LAWS

F. Ancona, A. Marson, Basic estimates for a front tracking algorithm for general 2x2 conservation laws,
Math. Models & Meth. Appl. Sci., Vol. 12 (2002), 155-182.

F. Ancona, A. Marson, A wave front tracking algorithm for NxN non genuinely nonlinear conservation laws,
Journal of Differential Equations, Vol. 177 (2001), 454-493.

A. Bressan, A. Marson, Error bounds for a deterministic version of the Glimm scheme,
Arch. Rational Mech. Anal., Vol. 142 (1998), 155-176.

F. Ancona, A. Marson, Existence Theory by Front Tracking for General Nonlinear Hyperbolic Systems,
to appear on Arch. Rational Mech. Anal.


MIXED SYSTEMS CONSERVATION LAWS - ODEs

R.M. Colombo, A. Marson, A Holder continuous o.d.e. related to traffic flow,
Proceedings of the Royal Society of Edinburgh, Vol. 133A (2003), 759-772.

A. Marson, Nonconvex conservation laws and Ordinary Differential Equations,
Journal of the London Mathematical Society, Vol. 69 (2004), 428-440.


PENROSE FIFE MODELS

G. Gilardi, A. Marson, On a Penrose-Fife type system with Dirichlet boundary conditions for temperature,
Mathematical Methods in the Applied Sciences, Vol. 26 (2003), 1303-1325.

G. Gilardi, A. Marson, On a conserved Penrose-Fife type system,
Applications of Mathematics, Vol. 50 (2005), 465-499.



PROCEEDINGS OF CONFERENCES


F. Ancona, A. Marson, Front tracking for non genuinely nonlinear conservation laws,
Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, 2000 ed. by Heinrich Freistühler and Gerald Warnecke, Birkhauser, Vol. 1 (2001), 19-28.

F. Ancona, A. Marson, Well-posedness for non genuinely nonlinear conservation laws,
Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, 2000} ed. by Heinrich Freistühler and Gerald Warnecke, Birkhauser, Vol. 1 (2001), 29-38.

R.M. Colombo, A. Marson, Conservation laws and O.D.E.s. A traffic problem,
Hyperbolic problems: theory, numerics, applications, ed. da T.Y. Hou e E. Tadmor, Springer (2003), 455-461.