Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in
Alessandra Lunardi (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Alessandra Lunardi (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Vitali Liskevich, Michael Röckner, Zeev Sobol, Oleksiy Us (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Brunello Terreni (1989)
Studia Mathematica
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Vincenzo Vespri (1992)
Rendiconti del Seminario Matematico della Università di Padova
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E. B. Fabes, N. M. Riviere (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Przemysław Gadziński (2000)
Colloquium Mathematicae
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We study the densities of the semigroup generated by the operator 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 . We give explicit spectral decomposition of images of in representations.
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...