We prove that the obstacle problem for a non-uniformly parabolic operator of Kolmogorov type, with Cauchy (or Cauchy-Dirichlet) boundary conditions, has a unique strong solution u. We also show that u is a solution in the viscosity sense.
The obstacle problem for a class of hypoelliptic ultraparabolic equations / Marco Di, Francesco; Andrea, Pascucci; Polidoro, Sergio. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - STAMPA. - 464:2089(2008), pp. 155-176. [10.1098/rspa.2007.0090]
The obstacle problem for a class of hypoelliptic ultraparabolic equations
POLIDORO, Sergio
2008
Abstract
We prove that the obstacle problem for a non-uniformly parabolic operator of Kolmogorov type, with Cauchy (or Cauchy-Dirichlet) boundary conditions, has a unique strong solution u. We also show that u is a solution in the viscosity sense.
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