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Search: authors:"Mads Kyed"

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On time-periodic solutions to parabolic boundary value problems

Time-periodic solutions to partial differential equations of parabolic type corresponding to an operator that is elliptic in the sense of Agmon–Douglis–Nirenberg are investigated. In the whole- and half-space case we construct an explicit formula for the solution and establish coercive \(L^{p}\) estimates. The estimates generalize a famous result of Agmon, Douglis and Nirenberg...