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Regularity near the initial state in the obstacle problem for a class of hypoelliptic ultraparabolic operators |
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| Authors: | Kaj Nyström Sergio Polidoro |
| Institution: | a Department of Mathematics, Umeå University, S-90187 Umeå, Sweden b Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy c Dipartimento di Matematica Pura ed Applicata, Università di Modena e Reggio Emilia, Via Campi, 213/b 41100 Modena, Italy |
| 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. |
| Keywords: | 35R35 35K70 35R03 35Q91 |
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