PreprintarXiv licencearXiv
Lp-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients
Abstract
We prove that operators of the form A=−Δ2−V(x), with |D V(x)|≤ γV(x)/54+ Cγ for some γ small enough and Cγ positive constant, generate analytic semigroups in Lp(ℝN) for 1≤ p<∞ and in C0(ℝN). Moreover, we characterize the maximal domain of such operators.
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BibTeX
@misc{gregorio2026lpregularity,
title = {{$L^p$-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients}},
author = {Federica Gregorio and Chiara Spina and Cristian Tacelli},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24155},
eprint = {2610.24155},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24155},
}
RIS
TY - UNPB
TI - L^p-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients
AU - Federica Gregorio
AU - Chiara Spina
AU - Cristian Tacelli
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.24155
UR - https://arxiv.org/abs/2610.24155
AB - We prove that operators of the form A=−Δ^2−V(x), with |D V(x)|≤ γV(x)^/54+ C_γ for some γ small enough and C_γ positive constant, generate analytic semigroups in L^p(ℝ^N) for 1≤ p<∞ and in C_0(ℝ^N). Moreover, we characterize the maximal domain of such operators.
ER -