On vector-valued Schrödinger operators with unbounded diffusion in $$L^p$$Lp spaces

作者: Luciana Angiuli , Luca Lorenzi , Elisabetta Mangino , Abdelaziz Rhandi

DOI: 10.1007/S00028-020-00607-9

关键词:

摘要: We prove generation results of analytic strongly continuous semigroups on $$L^p({{\mathbb {R}}}^d,{{\mathbb {R}}}^m)$$ ( $$1

参考文章(26)
El Maati Ouhabaz, Analysis of Heat Equations on Domains ,(2004)
Abdelaziz Rhandi, Matthias Hieber, Okihiro Sawada, THE NAVIER-STOKES FLOW FOR GLOBALLY LIPSCHITZ CONTINUOUS INITIAL DATA(Kyoto Conference on the Navier-Stokes Equations and their Applications) 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu. ,vol. 1, pp. 159- 165 ,(2007)
R. Schnaubelt, G. Metafune, A. Rhandi, J. Prüss, $L^p$-regularity for elliptic operators with unbounded coefficients Advances in Differential Equations. ,vol. 10, pp. 1131- 1164 ,(2005)
Klaus-Jochen Engel, Rainer Nagel, One-Parameter Semigroups for Linear Evolution Equations ,(1999)
Neil S Trudinger, David G Gilbarg, Elliptic Partial Differential Equations of Second Order ,(2018)
Sylvie Monniaux, Jan Prüss, A theorem of the Dore-Venni type for noncommuting operators Transactions of the American Mathematical Society. ,vol. 349, pp. 4787- 4814 ,(1997) , 10.1090/S0002-9947-97-01997-1
Giorgio Metafune, Diego Pallara, Jan Prüss, Roland Schnaubelt, Lp-Theory for Elliptic Operators on R^d with Singular Coefficients Zeitschrift Fur Analysis Und Ihre Anwendungen. ,vol. 24, pp. 497- 521 ,(2005) , 10.4171/ZAA/1253
Matthias Hieber, Luca Lorenzi, Jan Prüss, Abdelaziz Rhandi, Roland Schnaubelt, Global properties of generalized Ornstein–Uhlenbeck operators on Lp(RN,RN) with more than linearly growing coefficients Journal of Mathematical Analysis and Applications. ,vol. 350, pp. 100- 121 ,(2009) , 10.1016/J.JMAA.2008.09.011