This paper is devoted to a proof of regularity, near the initial state, for solutions to the Cauchy-Dirichlet and obstacle problem for a class of second order differential operators of Kolmogorov type. The approach used here is general enough to allow us to consider smoothobstacles as well as non-smooth obstacles.
Regularity near the Initial State in the Obstacle Problem for a class of Hypoelliptic Ultraparabolic Operators / K., Nystrom; A., Pascucci; Polidoro, Sergio. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 249:8(2010), pp. 2044-2060. [10.1016/j.jde.2010.05.020]
Regularity near the Initial State in the Obstacle Problem for a class of Hypoelliptic Ultraparabolic Operators
POLIDORO, Sergio
2010
Abstract
This paper is devoted to a proof of regularity, near the initial state, for solutions to the Cauchy-Dirichlet and obstacle problem for a class of second order differential operators of Kolmogorov type. The approach used here is general enough to allow us to consider smoothobstacles as well as non-smooth obstacles.File | Dimensione | Formato | |
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