Displaying similar documents to “Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in N

On a semigroup of measures with irregular densities

Przemysław Gadziński (2000)

Colloquium Mathematicae

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We study the densities of the semigroup generated by the operator - X 2 + | Y | on the 3-dimensional Heisenberg group. We show that the 7th derivatives of the densities have a jump discontinuity. Outside the plane x=0 the densities are C . We give explicit spectral decomposition of images of - X 2 + | Y | in representations.

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...