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 / M. Di Francesco; A. Pascucci; S. Polidoro. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - STAMPA. - 464:(2007), pp. 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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
