Abstract
Preface: These notes correspond to a series of lectures I was invited to deliver by the Accademia dei Lincei at the Politecnico de Milano in April 1987.
Most of the material here presented is unpublished research, and in this context I would like to thank E. B. Fabes, P. L. Lions, L. Nirenberg and S. Salsa for many challenging discussions.
I also would like to thank C. Pagani and S. Salsa for their help in clarifying both the oral and written version of these lectures while they were prepared and delivered.
Finally, through Professor L. Amerio, I would like to thank all of my Italian colleagues that made my stay in Milano so scientifically interesting and at the same time so pleasant.
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References
[C-L]Crandall M. G. andLions P. L., «Condition d'unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre», Comptes-Rendus Paris 292 (1981) pp. 183–186.
[G-T]Gilbarg D. andTrudinger N. S.,Elliptic Partial Differential Equations of Second Order, 2nd Ed., Springer, New York, 1983.
[K-S]Krypov N. V. andSafonov M. V., «An estimate on the probability that a diffusion hits a set of positive measure», Soviet Math. 20 (1979) pp. 253–256.
[P]Pucci C., «Limitazioni per soluzioni di equazioni ellittiche», Ann. Mat. Pura Appl. 74 (1966) pp. 15–30.
[J]Jensen R., «The Maximum Principle for Viscosity Solutions of Fully Nonlinear Second Order Partial Differential Equations» (to appear).
[I]Ishi H., «On uniqueness and viscosity solutions of fully nonlinear second order elliptic P.D.E.'s», preprint.
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Caffarelli, L. Elliptic second order equations. Seminario Mat. e. Fis. di Milano 58, 253–284 (1988). https://doi.org/10.1007/BF02925245
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DOI: https://doi.org/10.1007/BF02925245