On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients
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Abstract
We investigate off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients on L2σ(Rd). Such estimates are well-known for elliptic equations in the form of pointwise heat kernel bounds and for elliptic systems in the form of integrated off-diagonal estimates. On our way to unveil this off-diagonal behavior we prove resolvent estimates in Morrey spaces L2,ν(Rd) with 0≤ν<2.
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Journal of elliptic and parabolic equations, 7, Springer International Publishing AG, Cham, 2021, https://doi.org/10.1007/s41808-021-00116-x