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Pubblicazioni selezionate

Soravia, Pierpaolo, A Hamiltonian approach to small time local attainability of manifolds for nonlinear control systems. Appl. Math. Optim.88(2023), no.1, Paper No. 1, 39 pp.

Bardi, Martino; Feleqi, Ermal; Soravia, Pierpaolo, Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets.(English summary)
Set-Valued Var. Anal.29(2021), no.1, 83–108.

De Zan, Cecilia; Soravia, Pierpaolo, Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity. Nonlinear Anal.200(2020), 111989, 24 pp.

Soravia, Pierpaolo Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of the Aronsson equation. Math. Control Relat. Fields (2012), no. 4, 399-427.

De Zan, Cecilia; Soravia, Pierpaolo Cauchy problems for noncoercive Hamilton-Jacobi-Isaacs equations with discontinuous coefficients. Interfaces Free Bound. 12 (2010), no. 3, 347-368.

Soravia, Pierpaolo Uniqueness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients. Commun. Pure Appl. Anal. 5 (2006), no. 1, 213-240.

Soravia, Pierpaolo Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian. Indiana Univ. Math. J. 51 (2002), no. 2, 451-477.

M. Bardi, M. Falcone, P. Soravia Numerical methods for pursuit-evasion games,
in Stochastic and differential games: theory and numerical methods. M. Bardi,
T. Parthasarathy e T.E.S. Raghavan eds., Advances in Dynamic Games vol.
4 pp. 105-175, Birkhauser, Boston, 1999.

M. G. Crandall, M. Kocan, P. Soravia, A. Swiech On the equivalence of vari-
ous weak notions of solutions of elliptic PDEs with measurable ingredients. in
"Progress in Elliptic and Parabolic P.D.E.'s" (A. Alvino et al. eds.), Pitman
Research Notes in Math., n. 50, 1996.

Soravia, Pierpaolo H1 control of nonlinear systems: differential games and
viscosity solutions. SIAM J. Control Optim. 34 (1996), no. 3, 1071{1097.
P. Soravia, P. E. Souganidis Phase field theory for a FitzHugh-Nagumo type
system. Siam J. Math. Anal. 27 (1996) no. 5, pp. 1341-1359.

Soravia, Pierpaolo Generalized motion of a front propagating along its normal
direction: a differential games approach. Nonlinear Anal. 22 (1994), no. 10,
1247{1262.

P. Soravia Discontinuous viscosity solutions to Dirichlet problems for Hamilton-
Jacobi equations with convex hamiltonians. Commun. Partial Diff. Equations,
18 (1993), pp. 1493-1514.

Bardi, Martino; Soravia, Pierpaolo Hamilton-Jacobi equations with singular
boundary conditions on a free boundary and applications to differential games.
Trans. Amer. Math. Soc. 325 (1991), no. 1, 205{229.