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- Soravia, Pierpaolo On Aronsson equation and deterministic optimal control. Appl. Math. Optim. 59 (2009), no. 2, 175--201.
- Soravia, Pierpaolo Absolute minimizers, Aronsson equation and eikonal equations with Lipschitz continuous vector fields. In: International conference for the 25th anniversary of viscosity solutions. Tokyo, 4--6 giugno 2007, TOKYO: Gakkotosho Co., Ltd., vol. 30 (2008), p. 175-193.
- Garavello, M.; Soravia, P. Representation formulas for solutions of the HJI equations with discontinuous coefficients and existence of value in differential games. J. Optim. Theory Appl. 130 (2006), no. 2, 209--229.
- Soravia, Pierpaolo Degenerate eikonal equations with discontinuous refraction index. ESAIM Control Optim. Calc. Var. 12 (2006), no. 2, 216--230 (electronic).
- Soravia, Pierpaolo Uniqueness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients. Commun. Pure Appl. Anal. 5 (2006), no. 1, 213--240.
- Garavello, Mauro; Soravia, Pierpaolo Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost. NoDEA Nonlinear Differential Equations Appl. 11 (2004), no. 3, 271--298.
- Kocan, Maciej; Soravia, Pierpaolo Lyapunov functions for infinite-dimensional systems. J. Funct. Anal. 192 (2002), no. 2, 342--363.
- Soravia, Pierpaolo Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian. Indiana Univ. Math. J. 51 (2002), no. 2,
451--477.
- Soravia, Pierpaolo Feedback stabilization and H-infinity control of nonlinear
systems affected by disturbances, in Colonius, F., Gruene, L. eds.
"Dynamics, Bifurcations and Control", Lecture Notes in
Control and Information Sciences 273, Springer Verlag 2002.
- Soravia, Pierpaolo Optimal control with discontinuous running cost: eikonal equation and
shape-from-shading, proceedings of IEEE-CDC Sydney 2000.
- Kocan, Maciej; Soravia, Pierpaolo Differential games and nonlinear
H-infinity control in infinite dimensions,
Siam j. control optim. 39 (2000), 1296--1322 .
- Soravia, Pierpaolo On nonlinear convolution and uniqueness of viscosity
solutions, Analysis 20 (2000), pp. 373--386.
- Soravia, Pierpaolo Viscosity solutions and optimal control problems with integral constraints
Systems and Control Letters, 40 (2000), pp. 325--335.
- Bardi, Martino; Koike, Shigeaki; Soravia, Pierpaolo Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations. Discrete Contin.
Dynam. Systems 6 (2000), no. 2, 361--380.
- Kocan, Maciej; Soravia, Pierpaolo Nonlinear, dissipative, infinite-dimensional systems. Stochastic analysis, control, optimization and applications, 75--93, Systems Control
Found. Appl., BirkhŠuser Boston, Boston, MA, 1999.
- Bardi, M.; Falcone, M.; Soravia, P. 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.
- Soravia, P. Optimality pronciples and representation formulas for viscosity solutions of Hamilton-Jacobi equations. I. Equations of unbounded and degenerate control problems without uniqueness, Advances Diff. Equations, 4 no.2 (1999), 275--296.
- Soravia, P. Optimality pronciples and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints, Diff. Integral Equations, 12 no.2 (1999), 275--293.
- Soravia, P. Equivalence between nonlinear H-infinity control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations. Appl. Math. Optim. 39 (1999), no. 1, 17--32. 49Nxx (93Bxx)
- Kocan, Maciej; Soravia, Pierpaolo A viscosity approach to infinite-dimensional Hamilton-Jacobi equations arising in optimal control with state constraints. SIAM J. Control Optim. 36 (1998), no. 4, 1348--1375 (electronic). 49Lxx (34Gxx 49Jxx)
- in Bardi, Martino; Capuzzo-Dolcetta, Italo Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. With appendices by Maurizio Falcone and Pierpaolo Soravia. Systems & Control: Foundations & Applications. BirkhŠuser Boston, Inc., Boston, MA, 1997. (49L25)
- Soravia, Pierpaolo Estimates of convergence of fully discrete schemes for the Isaacs equation of pursuit-evasion differential games via maximum principle. SIAM J. Control Optim. 36 (1998), no. 1, 1--11 (electronic). 90D26 (49M25 65K10)
- Kocan, Maciej; Soravia, Pierpaolo; Swiech, Andrzej On differential games for infinite-dimensional systems with nonlinear, unbounded operators. J. Math. Anal. Appl. 211 (1997), no. 2, 395--423. 90D25 (47H06 47N10 49L25)
- Crandall, M. G.; Kocan, M.; Soravia, P.; Swiech, A. On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Progress in elliptic and parabolic partial differential equations (Capri, 1994), 136--162, Pitman Res. Notes Math. Ser., 350, Longman, Harlow, 1996. 35D10 (35J65 35R05)
- Soravia, Pierpaolo; Souganidis, Panagiotis E. Phase-field theory for FitzHugh-Nagumo-type systems. SIAM J. Math. Anal. 27 (1996), no. 5, 1341--1359. 35B25 (35B40 35K57)
- Soravia, Pierpaolo $H-infinity control of nonlinear systems: differential games and viscosity solutions. SIAM J. Control Optim. 34 (1996), no. 3, 1071--1097. 93B36 (49L25 90D25)
- Soravia, Pierpaolo Generalized motion of a front propagating along its normal direction: a differential games approach. Nonlinear Anal. 22 (1994), no. 10, 1247--1262. 49L25 (73B99 90D26)
- Soravia, Pierpaolo Stability of dynamical systems with competitive controls: the degenerate case. J. Math. Anal. Appl. 191 (1995), no. 3, 428--449. 90D25 (34D99 34H05)
- Bardi, Martino; Soravia, Pierpaolo A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability. Funkcial. Ekvac. 37 (1994), no. 1, 19--43. 49L20 (35F20 90D25)
- Bardi, M.; Falcone, M.; Soravia, P. Fully discrete schemes for the value function of pursuit-evasion games. Advances in dynamic games and applications (Geneva, 1992), 89--105, Ann. Internat. Soc. Dynam. Games, 1, BirkhŠuser Boston, Boston, MA, 1994. 90D26 (49L25 49M25)
- Soravia, Pierpaolo Discontinuous viscosity solutions to Dirichlet problems for Hamilton-Jacobi equations with convex Hamiltonians. Comm. Partial Differential Equations 18 (1993), no. 9-10, 1493--1514. 35F30 (35B37 49L25)
- Soravia, Pierpaolo Pursuit-evasion problems and viscosity solutions of Isaacs equations. SIAM J. Control Optim. 31 (1993), no. 3, 604--623. 49L25 (35F15 90D26)
- Soravia, P. Holder continuity of the minimum-time function for C1-manifold targets. J. Optim. Theory Appl. 75 (1992), no. 2, 401--421. 49K40 (49L20 93B05)
- Soravia, Pierpaolo The concept of value in differential games of survival and viscosity solutions of Hamilton-Jacobi equations. Differential Integral Equations 5 (1992), no. 5, 1049--1068. 90D25 (49J25)
- Bardi, Martino; Soravia, Pierpaolo Approximation of differential games of pursuit-evasion by discrete-time games. Differential games---developments in modelling and computation (Espoo, 1990), 131--143, Lecture Notes in Control and Inform. Sci., 156, Springer, Berlin, 1991. 90D26 (49M25 65K10)
- 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. 49L10 (90D25)
- Soravia, Pierpaolo Evolution operators and viscosity solutions of Hamilton-Jacobi equations. Boll. Un. Mat. Ital. B (7) 2 (1988), no. 3, 571--600. 35F25 (35B25)
- Bardi, Martino; Soravia, Pierpaolo A PDE framework for games of pursuit-evasion type. Differential games and applications (Sophia-Antipolis, 1988), 62--71, Lecture Notes in Control and Inform. Sci., 119, Springer, Berlin, 1989. 90D26
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