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.
M. Di Francesco, A. Pascucci, S. Polidoro (2007). The obstacle problem for a class of hypoelliptic ultraparabolic equations. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, 464, 155-176 [10.1098/rspa.2007.0090].
The obstacle problem for a class of hypoelliptic ultraparabolic equations
PASCUCCI, ANDREA;
2007
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.File in questo prodotto:
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