Analytic semigroups in weighted L1-spaces on the half-line generated by singular or degenerate operators
Ranges of the real-valued parameters α, a, b, and m are identified for which the operator Aα(a,b)f(x):=xα(f′′(x)+axf′(x)+bx2f(x)),x>0, generates an analytic semigroup in L1((0,∞),xmdx).
Authors
- Philippe Laurençot (ORCID: https://orcid.org/0000-0003-3091-8085)
- Patrick Guidotti (ORCID: https://orcid.org/0000-0002-6817-2584)
- Christoph Walker (ORCID: https://orcid.org/0000-0002-2017-5049)
Institutions
- Leibniz University Hannover (DE)
- Centre National de la Recherche Scientifique (FR)
- University of California, Irvine (US)
- Irvine University (US)
- Laboratoire d’Analyse et de Mathématiques Appliquées (FR)
- Laboratoire de Mathématiques Blaise Pascal (FR)
- Université Savoie Mont Blanc (FR)
Publication Details
- Journal
- Studia Mathematica
- Published
- 2025-11-24
- DOI
- https://doi.org/10.4064/sm250113-15-7
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00