Pointwise estimates for solutions to a class of non-homogeneous Kolmogorov equations

Autor: C. Cinti, S. Polidoro, PASCUCCI, ANDREA
Přispěvatelé: C. Cinti, A. Pascucci, S. Polidoro
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Popis: We consider a class of ultraparabolic differential equations that satisfy the Hoermander's hypoellipticity condition and we prove that the weak solutions to the equation with measurable coefficients are locally bounded functions. The method extends the Moser's iteration procedure and has previously been employed in the case of operators verifying a further homogeneity assumption. Here we remove that assumption by proving some potential estimates and some ad hoc Sobolev type inequalities for solutions.
Databáze: OpenAIRE