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 smooth obstacles as well as non-smooth obstacles.
Regularity near the Initial State in the Obstacle Problem for a class of Hypoelliptic Ultraparabolic Operators / S. Polidoro; K. Nystrom; A. Pascucci. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 249:(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
K. Nystrom;PASCUCCI, ANDREA
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 smooth obstacles as well as non-smooth obstacles.File in questo prodotto:
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