Displaying similar documents to “Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in n

On coerciveness in Besov spaces for abstract parabolic equations of higher order

Yoshitaka Yamamoto (1999)

Studia Mathematica

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We are concerned with a relation between parabolicity and coerciveness in Besov spaces for a higher order linear evolution equation in a Banach space. As proved in a preceding work, a higher order linear evolution equation enjoys coerciveness in Besov spaces under a certain parabolicity condition adopted and studied by several authors. We show that for a higher order linear evolution equation coerciveness in Besov spaces forces the parabolicity of the equation. We thus conclude that...

Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in N

Luca Lorenzi (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We consider a class of perturbations of the degenerate Ornstein-Uhlenbeck operator in N . Using a revised version of Bernstein’s method we provide several uniform estimates for the semigroup { T ( t ) } t 0 associated with the realization of the operator 𝒜 in the space of all the bounded and continuous functions in N