On the maximal regularity for perturbed autonomous and non-autonomous evolution equations
The authors study maximal \(L^p\)-regularity for some perturbed autonomous and non-autonomous evolution equations in Banach spaces adapting some ideas coming from systems theory. They analyse two classes of perturbations: Miyadera-Voigt perturbations and Desch-Schappacher perturbations and find some verifiable conditions for which the maximal \(L^p\)-regularity is preserved under these kinds of perturbations. An example of PDE in non-reflexive spaces is proposed in order to show the range of applications of their results.
scientific article; zbMATH DE number 7189578
scientific article