Let be a second-order linear differential operator in divergence form. We prove that the operator , where λ ∈ C and I stands for the identity operator, is closed and injective when Re λ is large enough and the domain of consists of a special class of weighted Sobolev function spaces related to conical open bounded sets of Rn, n ≥ 1.
Generation type inequalities for closed linear operators related to domains with conical points / A. Favaron. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 84:3(2005), pp. 283-310. [10.1080/00036810410001724364]
Generation type inequalities for closed linear operators related to domains with conical points
A. FavaronPrimo
2005
Abstract
Let be a second-order linear differential operator in divergence form. We prove that the operator , where λ ∈ C and I stands for the identity operator, is closed and injective when Re λ is large enough and the domain of consists of a special class of weighted Sobolev function spaces related to conical open bounded sets of Rn, n ≥ 1.
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