CiNii
Kannonzaki nature museum
Aoki Takashi , Honda Naofumi , Yamazaki Susumu
… <p>A new symbol theory for pseudodifferential operators in the complex analytic category is given. … Here the pseudodifferential operators mean integral operators with real holomorphic microfunction kernels. … This paper supplies the link and provides a cohomological foundation of the symbolic calculus of pseudodifferential operators.</p> …
Journal of the Mathematical Society of Japan 69(4), 1715-1801, 2017
J-STAGE
LEE Chang Hoon
Proceedings of the Japan Academy. Ser. A, Mathematical Sciences 89(1), 6-10, 2013-01
Isozaki Hiroshi , ROUSSEAU JÉRÔME LE , 磯崎 洋
… By using a time slicing procedure, we represent the solution operator of a second-order parabolic pseudodifferential equation on Ropfn as an infinite product of zero-order pseudodifferential operators. … The proof is based on an effective use of the Weyl calculus and the Fefferman-Phong inequality. …
Communications in partial differential equations 34(7), 625-655, 2009-07
IR
Chihara Hiroyuki , Onodera Eiji
… To overcome this difficulty, we introduce a bounded pseudodifferential operator acting on sections of the pullback bundle, and eliminate the loss of one derivative from the partial differential equation of the dispersive flow. …
Journal of Functional Analysis 257(2), 388-404, 2009-04-22
Mizuhara Ryuichiro
… Tarama's pseudodifferential operators play crucial role in our proof. …
Funkcialaj Ekvacioj 49(1), 1-38, 2006
Kataoka Kiyoomi
RIMS Kokyuroku 1412, 22-36, 2005-01
Lerner Nicolas , Morimoto Yoshinori
RIMS Kokyuroku (1412), 80-90, 2005-01
KRAINER Thomas
… We construct algebras of Volterra pseudodifferential operators that contain, in particular, the inverses of the most natural classical systems of parabolic boundary value problems of general form.<br> … Parabolicity is determined by the invertibility of the principal symbols, and as a result, is equivalent to the invertibility of the operators within the calculus. … the meaning of a conical point and treat the operators as totally characteristic pseudodifferential boundary value problems. …
Japanese journal of mathematics. New series 30(1), 91-163, 2004-06-01
J-STAGE References (81)
Hashimoto Yoshiaki , Hoshino Takaaki , Matsuzawa Tadato
… The ideas of the bracket calculus given in the paper [2] and FBI-transformation given in the paper [5] are also useful. …
Publications of the Research Institute for Mathematical Sciences 38(2), 289-319, 2002
Lee Chang Hoon
RIMS Kokyuroku (1212), 144-156, 2001-06
GIL J.B. , SCHULZE B.W. , SEILER J.
Osaka Journal of Mathematics 37(1), 221-260, 2000-03
Gil J. B. , Schulze B. W. , Seiler J.
Osaka Journal of Mathematics 37(1), 221-261, 2000
IR DOI
GIL J. B. , Schulze B.-W. , Seiler J.
Osaka J. Math. 37, 221-260, 2000
Cited by (1)
Kasumov Namik
Osaka Journal of Mathematics 32(4), 919-940, 1995-12