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  • Article papers
    1. P. Soravia, A Hamiltonian approach to small time local attainability of manifolds for nonlinear control systems, Appl. Math. Optim. {\bf 88} (2023), no.~1, Paper No. 1, 39 pp.;
    2. M. Bardi, E. Feleqi and P. Soravia, Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets, Set-Valued Var. Anal. {\bf 29} (2021), no.~1, 83--108;
    3. P. Soravia, A degenerate elliptic equation for second order controllability of nonlinear systems, Minimax Theory Appl. {\bf 5} (2020), no.~2, 413--437;
    4. C. De~Zan and P. Soravia, Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity, Nonlinear Anal. {\bf 200} (2020), 111989, 24 pp.;
    5. C. De~Zan and P. Soravia, On viscosity and equivalent notions of solutions for anisotropic geometric equations, Abstr. Appl. Anal. {\bf 2020}, Art. ID 7545983, 14 pp.;
    6. P. Soravia, The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function, Abstr. Appl. Anal. {\bf 2019}, Art. ID 6417074, 9 pp.;
    7. C. De~Zan and P. Soravia, A comparison principle for the mean curvature flow equation with discontinuous coefficients, Int. J. Differ. Equ. {\bf 2016}, Art. ID 3627896, 6 pp.;
    8. P. Soravia, Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of the Aronsson equation, Math. Control Relat. Fields {\bf 2} (2012), no.~4, 399--427;
    9. L. Barbet, A. Daniilidis and P. Soravia, Generalized Hessians of $C^{1,1}$-functions and second-order viscosity subjets, SIAM J. Optim. {\bf 20} (2010), no.~6, 3040--3058;
    10. C. De~Zan and P. Soravia, Cauchy problems for noncoercive Hamilton-Jacobi-Isaacs equations with discontinuous coefficients, Interfaces Free Bound. {\bf 12} (2010), no.~3, 347--368;
    11. P. Soravia, Viscosity and almost everywhere solutions of first-order Carnot-Carath\`eodory Hamilton-Jacobi equations, Boll. Unione Mat. Ital. (9) {\bf 3} (2010), no.~2, 391--406;
    12. P. Soravia, On Aronsson equation and deterministic optimal control, Appl. Math. Optim. {\bf 59} (2009), no.~2, 175--201;
    13. M. Garavello and P. Soravia, Representation formulas for solutions of the HJI equations with discontinuous coefficients and existence of value in differential games, J. Optim. Theory Appl. {\bf 130} (2006), no.~2, 209--229;
    14. P. Soravia, Degenerate eikonal equations with discontinuous refraction index, ESAIM Control Optim. Calc. Var. {\bf 12} (2006), no.~2, 216--230;
    15. P. Soravia, Uniqueness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients, Commun. Pure Appl. Anal. {\bf 5} (2006), no.~1, 213--240;
    16. M. Garavello and P. Soravia, Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost, NoDEA Nonlinear Differential Equations Appl. {\bf 11} (2004), no.~3, 271--298;
    17. M. Kocan and P. Soravia, Lyapunov functions for infinite-dimensional systems, J. Funct. Anal. {\bf 192} (2002), no.~2, 342--363;
    18. P. Soravia, On feedback solutions of the $\scr H_\infty$ control problem for nonlinear systems, in {\it ISDG2002, Vol. I, II (St. Petersburg)}, 815--820, St. Petersburg State Univ. Inst. Chem., St. Petersburg, ;
    19. P. Soravia, Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian, Indiana Univ. Math. J. {\bf 51} (2002), no.~2, 451--477;
    20. P. Soravia, Feedback stabilization and ${\scr H}_\infty$ control of nonlinear systems affected by disturbances: the differential games approach, in {\it Dynamics, bifurcations, and control (Kloster Irsee, 2001)}, 173--190, Lect. Notes Control Inf. Sci., 273, Springer, Berlin, ;
    21. P. Soravia, Viscosity solutions and optimal control problems with integral constraints, Systems Control Lett. {\bf 40} (2000), no.~5, 325--335;
    22. M. Kocan and P. Soravia, Differential games and nonlinear $\scr H_\infty$ control in infinite dimensions, SIAM J. Control Optim. {\bf 39} (2000), no.~4, 1296--1322;
    23. P. Soravia, On nonlinear convolution and uniqueness of viscosity solutions, Analysis (Munich) {\bf 20} (2000), no.~4, 373--385;
    24. M. Bardi, S. Koike and P. Soravia, Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations, Discrete Contin. Dynam. Systems {\bf 6} (2000), no.~2, 361--380;
    25. M. Kocan and P. Soravia, Nonlinear, dissipative, infinite-dimensional systems, in {\it Stochastic analysis, control, optimization and applications}, 75--93, Systems Control Found. Appl., Birkh\"auser Boston, Boston, MA, ;
    26. M. Bardi, M. Falcone and P. Soravia, Numerical methods for pursuit-evasion games via viscosity solutions, in {\it Stochastic and differential games}, 105--175, Ann. Internat. Soc. Dynam. Games, 4, Birkh\"auser Boston, Boston, MA, ;
    27. P. Soravia, Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. I. Equations of unbounded and degenerate control problems without uniqueness, Adv. Differential Equations {\bf 4} (1999), no.~2, 275--296;
    28. P. Soravia, Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints, Differential Integral Equations {\bf 12} (1999), no.~2, 275--293;
    29. P. Soravia, Equivalence between nonlinear $\scr H_\infty$ control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations, Appl. Math. Optim. {\bf 39} (1999), no.~1, 17--32;
    30. M. Kocan and P. Soravia, A viscosity approach to infinite-dimensional Hamilton-Jacobi equations arising in optimal control with state constraints, SIAM J. Control Optim. {\bf 36} (1998), no.~4, 1348--1375;
    31. P. Soravia, Estimates of convergence of fully discrete schemes for the Isaacs equation of pursuit-evasion differential games via maximum principle, SIAM J. Control Optim. {\bf 36} (1998), no.~1, 1--11;
    32. M. Kocan, P. Soravia and A. \'Swi\polhk ech, On differential games for infinite-dimensional systems with nonlinear, unbounded operators, J. Math. Anal. Appl. {\bf 211} (1997), no.~2, 395--423;
    33. M.~G. Crandall et al., On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients, in {\it Progress in elliptic and parabolic partial differential equations (Capri, 1994)}, 136--162, Pitman Res. Notes Math. Ser., 350, Longman, Harlow, ; MR1430144
    34. P. Soravia and P.~E. Souganidis, Phase-field theory for FitzHugh-Nagumo-type systems, SIAM J. Math. Anal. {\bf 27} (1996), no.~5, 1341--1359;
    35. P. Soravia, ${\scr H}_\infty$ control of nonlinear systems: differential games and viscosity solutions, SIAM J. Control Optim. {\bf 34} (1996), no.~3, 1071--1097;
    36. P. Soravia, Stability of dynamical systems with competitive controls: the degenerate case, J. Math. Anal. Appl. {\bf 191} (1995), no.~3, 428--449;
    37. M. Bardi and P. Soravia, A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability, Funkcial. Ekvac. {\bf 37} (1994), no.~1, 19--43;
    38. P. Soravia, Generalized motion of a front propagating along its normal direction: a differential games approach, Nonlinear Anal. {\bf 22} (1994), no.~10, 1247--1262;
    39. M. Bardi, M. Falcone and P. Soravia, Fully discrete schemes for the value function of pursuit-evasion games, in {\it Advances in dynamic games and applications (Geneva, 1992)}, 89--105, Ann. Internat. Soc. Dynam. Games, 1, Birkh\"auser Boston, Boston, MA, ;
    40. P. Soravia, Discontinuous viscosity solutions to Dirichlet problems for Hamilton-Jacobi equations with convex Hamiltonians, Comm. Partial Differential Equations {\bf 18} (1993), no.~9-10, 1493--1514;
    41. P. Soravia, Pursuit-evasion problems and viscosity solutions of Isaacs equations, SIAM J. Control Optim. {\bf 31} (1993), no.~3, 604--623;
    42. P. Soravia, H\"older continuity of the minimum-time function for $C^1$-manifold targets, J. Optim. Theory Appl. {\bf 75} (1992), no.~2, 401--421;
    43. P. Soravia, The concept of value in differential games of survival and viscosity solutions of Hamilton-Jacobi equations, Differential Integral Equations {\bf 5} (1992), no.~5, 1049--1068;
    44. M. Bardi and P. Soravia, Approximation of differential games of pursuit-evasion by discrete-time games, in {\it Differential games---developments in modelling and computation (Espoo, 1990)}, 131--143, Lect. Notes Control Inf. Sci., 156, Springer, Berlin, ;
    45. M. Bardi and P. Soravia, Hamilton-Jacobi equations with singular boundary conditions on a free boundary and applications to differential games, Trans. Amer. Math. Soc. {\bf 325} (1991), no.~1, 205--229;
    46. M. Bardi and P. Soravia, A PDE framework for games of pursuit-evasion type, in {\it Differential games and applications (Sophia-Antipolis, 1988)}, 62--71, Lect. Notes Control Inf. Sci., 119, Springer, Berlin, ;
    47. P. Soravia, Evolution operators and viscosity solutions of Hamilton-Jacobi equations, Boll. Un. Mat. Ital. B (7) {\bf 2} (1988), no.~3, 571--600;
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  • Other papers in refereed volumes
    1. Soravia, Pierpaolo, Absolute minimizers, Aronsson equation and eikonal equations with Lipschitz continuous vector fields, 2008, in {International conference for the 25th anniversary of viscosity solutions}, Gakuto Int. Series, vol. 30, pp. 175-193, Gakkotosho Co., Ltd, 2008.
    2. Soravia, Pierpaolo, Nonlinear H-infinity control, 1997, in Birkhauser, M. Bardi and I. Capuzzo-Dolcetta {Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. With appendices by Maurizio Falcone and Pierpaolo Soravia}, isbn = {9780817636401}, pp. {505--531}
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  • Conference papers
    1. Soravia, Pierpaolo, Some Results on Second Order Controllability Conditions, (2019), in {58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, December 11-13, 2019. IEEE)}, pp. 1468-1473
    2. Soravia, Pierpaolo, On feedback solutions of the H-infinity control problem for nonlinear systems, 2002, in {Proceedings of the 10th International Symposium on Dynamic Games and Applications held in St. Petersburg, July 8-11, 2002. Edited by L. A. Petrosjan and N. A. Zenkevich. St. Petersburg State University, Institute of Chemistry, St. Petersburg, 2002}, isbn = {5-7997-0412-6}, pp. {815--820}
    3. Soravia, Pierpaolo, Optimal control with discontinuous running cost: eikonal equation and shape from shading, 2000, in {Proceedings of the 39th IEEE Conference on Decision and Control}, isbn = {0780366417}, pp. {79--84}
    4. Soravia, Pierpaolo, The H-infinity control problem for nonlinear, unbounded, infinite dimensional systems, 1998, in {Editrice il Poligrafo}, {Padova}, {Mathematical theory of networks and systems : proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998}, isbn = {8871151178}, pp. {531--534}
    5. Soravia, Pierpaolo, Differential games approach to some models of crystal growth, 1992, in {American Mathematical Society}, {Providence, R.I}, {Computational crystal growers workshop, AMS selected lectures in mathematics}, isbn = {9780821880721}, pp. {101--103}