Abstract.
We give a short, simple proof of maximal Lp–Lq regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of \({\mathcal{R}}\)-boundedness for the resolvent.
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Krainer, T. Maximal Lp–Lq Regularity for Parabolic Partial Differential Equations on Manifolds with Cylindrical Ends. Integr. equ. oper. theory 63, 521–531 (2009). https://doi.org/10.1007/s00020-009-1660-7
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DOI: https://doi.org/10.1007/s00020-009-1660-7