Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces |
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Authors: | B Barraza Martínez R Denk J Hernández Monzón |
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Institution: | 1. Departamento de Matemáticas, Universidad del Norte, Barranquilla, Colombia
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Abstract: | In this paper we study continuity and invertibility of pseudodifferential operators with non-regular Banach space valued symbols. The corresponding pseudodifferential operators generate analytic semigroups on the Sobolev spaces W p k (? n , E) with k ∈ ?0, 1 ≤ p ≤ ∞. Here E is an arbitrary Banach space. We also apply the theory to solve non-autonomous parabolic pseudodifferential equations in Sobolev spaces. |
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