$C_0$-Semigroups in $L^p ({\bf R}^d )$ and $\widehat{C}({\bf R}^d )$ Spaces Generated by the Differential Expression $\Delta + b \cdot \nabla$

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Previous article Next article $C_0$-Semigroups in $L^p ({\bf R}^d )$ and $\widehat{C}({\bf R}^d )$ Spaces Generated by the Differential Expression $\Delta + b \cdot \nabla$V. F. Kovalenko and Yu. A. SemenovV. F. Kovalenko and Yu. A. Semenovhttps://doi.org/10.1137/1135064PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. G. Aronson and , James Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal., 25 (1967), 81–122 39:5952 0154.12001 CrossrefGoogle Scholar[2] V. F. Kovalenko, , M. A. Perelmuter and , Yu. A. Semenov, Schrödinger operators with $L\sp{1/2}\sb{W}({\bf R}\sp{l})$-potentials, J. Math. Phys., 22 (1981), 1033–1044 10.1063/1.525009 83b:35121 0463.47027 CrossrefGoogle Scholar[3] Kôsaku Yosida, Functional analysis, Die Grundlehren der Mathematischen Wissenschaften, Band 123, Academic Press Inc., New York, 1965xi+458, Berlin 31:5054 0126.11504 CrossrefGoogle Scholar[4] M. Reed and , B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York, 1972 Google Scholar[5] R. S. Phillips, Semi-groups of positive contraction operators, Czechoslovak Math. J., 12 (87) (1962), 294–313 26:4195 0113.09901 Google Scholar[6] P. E. Sobolevskii, Equations of parabolic type in a Banach space, Trudy Moskov. Mat. Obšč., 10 (1961), 297–350, (In Russian.) 25:5297 Google Scholar[7] O. A. Ladyzenskaja, , V. A. Solonnikov and , N. N. Uraltseva, Linear and Quasi Nonlinear Equations, Amer. Math. Soc. Transl., New York, 1968 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Regularity of solutions to Kolmogorov equation with Gilbarg–Serrin matrixJournal of Evolution Equations, Vol. 22, No. 1 | 8 March 2022 Cross Ref Markov semi-groups generated by elliptic operators with divergence-free driftJournal of Mathematical Analysis and Applications, Vol. 499, No. 1 | 1 Jul 2021 Cross Ref On the Lp-theory of C0-semigroups associated with second-order elliptic operators with complex singular coefficientsProceedings of the London Mathematical Society, Vol. 115, No. 4 | 24 July 2017 Cross Ref Progress in the Problem of the L p -Contractivity of Semigroups for Partial Differential OperatorsAround the Research of Vladimir Maz'ya III | 7 November 2009 Cross Ref Criteria for the L p -dissipativity of Partial Differential OperatorsAnalysis, Partial Differential Equations and Applications | 1 Jan 2009 Cross Ref Local estimates on two linear parabolic equations with singular coefficientsPacific Journal of Mathematics, Vol. 223, No. 2 | 1 Feb 2006 Cross Ref Criterion for the Lp -dissipativity of second order differential operators with complex coefficientsJournal de Mathématiques Pures et Appliquées, Vol. 84, No. 8 | 1 Aug 2005 Cross Ref On the L-Theory of C0-Semigroups Associated with Second-Order Elliptic Operators, IJournal of Functional Analysis, Vol. 193, No. 1 | 1 Aug 2002 Cross Ref On the L-Theory of C0-Semigroups Associated with Second-Order Elliptic Operators, IIJournal of Functional Analysis, Vol. 193, No. 1 | 1 Aug 2002 Cross Ref Volume 35, Issue 3| 1991Theory of Probability & Its Applications411-623 History Submitted:10 February 1988Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1135064Article page range:pp. 443-453ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics