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math.AP2019
Some results on second-order elliptic operators with polynomially growing coefficients in -spaces
Sallah Eddine Boutiah, Loredana Caso, Federica Gregorio +1
In this paper we study minimal realizations in of the second order elliptic operator \begin{equation*} { A_{b,c}} := (1+|x|^α)Δ+ b|x|^{α-2}x\cdot\nabla - c |x|^…
math.AP2019
Higher order operators on networks: hyperbolic and parabolic theory
Federica Gregorio, Delio Mugnolo
We study higher-order elliptic operators on one-dimensional ramified structures (networks). We introduce a general variational framework for fourth-order operators that allows us t…