We prove that operators of the form A=-a(x)2Δ2, with suitable growth conditions on the coefficient a(x), generate analytic semigroups in L1(RN). In particular, we deduce generation results for the operator A:=-(1+|x|2)αΔ2, 0≤α≤2. Moreover, we characterize the maximal domain of A in L1(RN).
Fourth-Order Operators with Unbounded Coefficients in L1 Spaces: Communicated by Jochen Glück
Spina, C.;Tacelli, C.
2026-01-01
Abstract
We prove that operators of the form A=-a(x)2Δ2, with suitable growth conditions on the coefficient a(x), generate analytic semigroups in L1(RN). In particular, we deduce generation results for the operator A:=-(1+|x|2)αΔ2, 0≤α≤2. Moreover, we characterize the maximal domain of A in L1(RN).File in questo prodotto:
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Mathematical Models for Interacting Dynamics on Networks.pdf
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