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- W4300575464 abstract "Without any assumptions on the space dimension or boundedness of the region, we prove Lp-spectral independence of generators of C0-semigroups estimated by the positive C0-semigroup e−t(−Δ)α(0<α≤1). In particular, if the semigroup is self-adjoint in L2, it is shown that only the estimate by e−t(−Δ)α is sufficient for Lp-spectral independence. The proof depends on the idea of considering the spectra of the operators e−t(−A)β(0<β<1) and applying the spectral independence result of B.A. Barnes for integral operators, where A is the generator of the semigroup in question." @default.
- W4300575464 created "2022-10-03" @default.
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- W4300575464 date "2006-06-01" @default.
- W4300575464 modified "2023-10-07" @default.
- W4300575464 title "Gaussian estimates of order α and Lp-spectral independence of generators of C0-semigroups II" @default.
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- W4300575464 doi "https://doi.org/10.55937/sut/1173206041" @default.
- W4300575464 hasPublicationYear "2006" @default.
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