Estimates for degenerate Schrödinger operators and hypoellipticity for infinitely degenerate elliptic operators

Yoshinori Morimoto

Type: Article

Publication Date: 1992-01-01

Citations: 9

DOI: https://doi.org/10.1215/kjm/1250519539

Abstract

T h is non-hypoellipticity result follow s from th e analogous m ethod a s in Theorem 1 o f Hoshiro [4] (see Lemma 6.1 in Section 6 , w here w e also u se Theorem 1 requiring th e c o n d itio n (22)).T h e assum ption (20) o f Theorem 6 o n 2 (resp.K,) seem s to be

Locations

Kyoto journal of mathematics - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Estimates for degenerate Schrödinger operators and an application for infinitely degenerate hypoelliptic operators	1989	Yoshinori Morimoto
+	Hypoellipticity for infinitely degenerate elliptic operators	1987	Yoshinori Morimoto
+	Hypoellipticity for infinitely degenerate elliptic operators	1986	芳則森本
+	Hypoellipticity for infinitely degenerate elliptic-parabolic operators	1988	寿彦保城
+ PDF Chat	Hypoellipticity for infinitely degenerate elliptic and parabolic operators II, operators of higher order	1989	Toshihiko Hoshiro
+ PDF Chat	Hypoellipticity for some infinitely degenerate elliptic operators of second order	1992	Tatsushi Morioka
+ PDF Chat	Non-Hypoellipticlty for Degenerate Elliptic Operators	1986	Yoshinori Morimoto
+ PDF Chat	A note on hypoellipticity of degenerate elliptic operators	1991	Minoru Koike
+	Non Gevrey Hypoellipticity for Degenerate Semi-Elliptic Operators	2000	Michiharu Suzuki
+	Non Gevrey Hypoellipticity for Degenerate Semi-Elliptic Operators	2000	道治鈴木
+ PDF Chat	Hypoellipticity for infinitely degenerate elliptic and parabolic operators of second order	1988	Toshihiko Hoshiro
+	Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators	2003	Genadij O. Hakobyan V. N. Margaryan
+	A Remark on the Hypoellipticity for Degenerate Elliptic Operators of Second Order	2001	道治鈴木
+	Erratum to "Non-Hypoelli pticity for Degenerate Elliptic Operators"	1994	Yoshinori Morimoto
+	Hypoellipticity for semi-elliptic operators which degenerate on hypersurface	1991	Tatsushi Morioka
+	Hypoellipticity of Some Degenerate Parabolic Operators	1985	Toyohiro Akamatsu
+ PDF Chat	Weyl formula for hypoelliptic operators of Schrödinger type	2002	Ernesto Buzano Andrea Ziggioto
+	Hypoellipticity for Operators of Infinitely Degenerate Egorov Type(Structure of Solutions for Partial Differential Equations)	1998	Nils Dencker Yoshinori Morimoto Tatsushi Morioka
+ PDF Chat	Gevrey Hypoellipticity for Non-subelliptic Operators	2010	Antonio Bove David S. Tartakoff
+	Strichartz Estimates for Schrödinger Equations with Non-degenerate Coefficients*	2007	Miao Yu

Works That Cite This (7)

Action	Title	Year	Authors
+	Uncertainty principle and kinetic equations	2008	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation	2010	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Local solvability and hypoellipticity for pseudodifferential operators of Egorov type with infinite degeneracy	1995	Yoshinori Morimoto
+	Hypoellipticity for semi-elliptic operators which degenerate on hypersurface	1991	Tatsushi Morioka
+	Uncertainty principle and regularity for Boltzmann type equations	2007	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Hypoellipticity for a class of infinitely degenerate elliptic operators	1997	Yoshinori Morimoto Tatsushi Morioka

Works Cited by This (1)

Action	Title	Year	Authors
+	Hypoellipticity for infinitely degenerate elliptic operators	1987	Yoshinori Morimoto