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The paper is a nice brief review of fundamental results about the initial value problem for one-dimensional nonlinear degenerate parabolic equations of "porous media'' type: ut=[?(ux)]x, x?R, t> 0, with ? continuous, nondecreasing, ?(0)=0, |?(s)[...]texto impreso
We show a direct proof for the generalized Hardy’s inequality obtained by the first author Math. Nachr. 126, 281-300, 1986. Our techniques are elementary and work in the limit case which was not covered in [loc. cit.]. Some applications to eigen[...]texto impreso
"A Banach space E has the Dunford-Pettis property (DPP) if every weakly compact operator on E is a Dunford-Pettis operator, that is, takes weakly convergent sequences into norm convergent sequences. For many years it remained an open question [...]texto impreso
Let H(U) be the space of holomorphic functions on an open subset U of a complex locally convex space E, and let H(K) be the space of holomorphic germs on a compact subset K of E. (For background on holomorphic functions on locally convex spaces [...]
