Pierpaolo
Soravia
Professor
Dipartimento di
Matematica
Universita` di
Padova
Torre Archimede, Office 516
Voice (049)-827-1496
Fax (049)-875-1499
Email soravia "AT" math.unipd.it
Degree in Mathematics: University of Padova, 1986.
Ph. D. in Mathematics: Universities of Bologna and
Padova,
1992.
Research Associate 1990-98, tenured in 1993.
Associate Professor 1998-2001
Full Professor 2001-.
Visiting researcher: Brown University, 1991/92;
University
of California at Santa Barbara, 1994/95; Carnegie Mellon University, fall
semester 1997; Australian National University at Canberra, August 1998.
I have been invited to give lectures in:
Bressanone, Canberra, Cortona, Heraklion, Irsee, Levico Terme,
Madison, Minneapolis, New York, Orleans, Paris, Pisa, Pittsburgh,
Providence, Raleigh, Roma, Salice Terme, San Diego, Santa
Barbara, Siena, St Louis, Sydney, Tokyo, Torino, Trieste, Urawa, Vancouver
Research Interests
-
Partial differential equations: Hamilton-Jacobi equations and viscosity solutions
-
Mathematical control theory: nonlinear optimal control, differential
games and nonsmooth analysis
-
Multiscale problems in nonlinear pdes
-
Calculus of variations: geometric flows, minimization in L-infinity
Selected Publications (full
list)
- Soravia, Pierpaolo {\it Uniqueness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients.} Commun. Pure Appl. Anal. 5 (2006), no. 1, 213--240.
- Soravia, Pierpaolo {\it 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 {\it 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 {\it On the equivalence of various 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 {\it ${\cal H}\sb \infty$ control of nonlinear systems: differential games and viscosity solutions.} SIAM J. Control Optim. 34 (1996), no. 3, 1071--1097.
- P. Soravia, P. E. Souganidis {\it Phase field theory for a FitzHugh-Nagumo type system.} Siam J. Math. Anal. 27 (1996) no. 5, pp. 1341-1359.
- Soravia, Pierpaolo {\it Generalized motion of a front propagating along its normal direction: a differential games approach.} Nonlinear Anal. 22 (1994), no. 10, 1247--1262.
- P. Soravia {\it 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 {\it 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.
-
Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of space dependent Aronsson Equations, preprint 2009
-
(coauthor C. De Zan) Cauchy problems for noncoercive Hamilton-Jacobi equations with discontinuous coefficients, preprint 2009
-
Viscosity and almost everywhere solutions of first-order Carnot-Carath\`eodory Hamilton-Jacobi equations, Boll. Un. Mat. Ital. to appear
-
(coauthors L. Barbet, A. Daniilidis) Generalized Hessians of $C^{1,1}$-functions and second-order viscosity subjets, Siam J. Optim. to appear.
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