Baba, Akio; Kajitani, Kunihiko Time decay estimates of solutions to the mixed problem for heat equations in a half space. (English) Zbl 1293.35330 Tsukuba J. Math. 37, No. 2, 271-305 (2013). Reviewer: Jerzy August Gawinecki (Warszawa) MSC: 35Q79 80A20 PDFBibTeX XMLCite \textit{A. Baba} and \textit{K. Kajitani}, Tsukuba J. Math. 37, No. 2, 271--305 (2013; Zbl 1293.35330) Full Text: DOI Euclid
Kajitani, Kunihiko Asymptotic behaviors for multidimensional Kirchhoff equations. (English) Zbl 1254.35151 Tsukuba J. Math. 36, No. 1, 1-42 (2012). MSC: 35L72 35B40 PDFBibTeX XMLCite \textit{K. Kajitani}, Tsukuba J. Math. 36, No. 1, 1--42 (2012; Zbl 1254.35151) Full Text: DOI Euclid
Kajitani, Kunihiko Time global solutions to the Cauchy problem for multidimensional Kirchhoff equations. (English) Zbl 1201.35147 Bove, Antonio (ed.) et al., Advances in phase space analysis of partial differential equations. In Honor of Ferruccio Colombini’s 60th birthday. Selected papers based on the workshop, Siena, Italy, October 2007. Boston, MA: Birkhäuser (ISBN 978-0-8176-4860-2/hbk; 978-0-8176-4861-9/ebook). Progress in Nonlinear Differential Equations and Their Applications 78, 141-153 (2009). MSC: 35L72 35L15 35P25 35R09 PDFBibTeX XMLCite \textit{K. Kajitani}, Prog. Nonlinear Differ. Equ. Appl. 78, 141--153 (2009; Zbl 1201.35147) Full Text: DOI
Kajitani, Kunihiko Scattering for one dimensional perturbed Kirchhoff equations. (English) Zbl 1152.35075 J. Math. Soc. Japan 60, No. 3, 665-693 (2008). MSC: 35L70 35L15 35P25 45K05 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Soc. Japan 60, No. 3, 665--693 (2008; Zbl 1152.35075) Full Text: DOI
Kajitani, Kunihiko Time decay estimates of solutions for wave equations with variable coefficients. (English) Zbl 1120.35018 Padula, Mariarosaria (ed.) et al., Hyperbolic problems and regularity questions. Basel: Birkhäuser (ISBN 978-3-7643-7450-1/hbk; 978-3-7643-7451-8/pbk). Trends in Mathematics, 121-136 (2007). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L15 PDFBibTeX XMLCite \textit{K. Kajitani}, in: Hyperbolic problems and regularity questions. Basel: Birkhäuser. 121--136 (2007; Zbl 1120.35018)
Colombini, Ferruccio; Kajitani, Kunihiko The Cauchy problem for nonstrictly second order hyperbolic equations with nonregular coefficients. (English) Zbl 1132.35408 J. Anal. Math. 97, 243-255 (2006). MSC: 35L15 35A05 PDFBibTeX XMLCite \textit{F. Colombini} and \textit{K. Kajitani}, J. Anal. Math. 97, 243--255 (2006; Zbl 1132.35408) Full Text: DOI
Kajitani, Kunihiko; Yuzawa, Yasuo On the existence in Gevrey classes of local solutions to the Cauchy problem for nonlinear hyperbolic systems with Hölder continuous coefficients. (English) Zbl 1138.35053 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 303-315 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L60 35L45 35A07 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{Y. Yuzawa}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 303--315 (2006; Zbl 1138.35053) Full Text: DOI
Kajitani, Kunihiko; Yuzawa, Yasuo The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable. (English) Zbl 1170.35474 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 5, No. 4, 465-482 (2006). MSC: 35L45 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{Y. Yuzawa}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 5, No. 4, 465--482 (2006; Zbl 1170.35474) Full Text: EuDML
Kajitani, Kunihiko; Satoh, Atsushi Time decay estimates for linear symmetric hyperbolic systems with variable coefficients and its applications. (English) Zbl 1083.35054 Colombini, Ferruccio (ed.) et al., Phase space analysis of partial differential equations. Vol. I. Proceedings of the research trimester, Centro di Ricerca Matematica “Ennio de Giorgi”, Pisa, Italy, February 15–May 15, 2004. Pisa: Scuola Normale Superiore (ISBN 88-7642-150-5/pbk). Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi, 235-269 (2004). Reviewer: Petar Popivanov (Sofia) MSC: 35L30 35P25 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{A. Satoh}, in: Phase space analysis of partial differential equations. Vol. I. Proceedings of the research trimester, Centro di Ricerca Matematica ``Ennio de Giorgi'', Pisa, Italy, February 15--May 15, 2004. Pisa: Scuola Normale Superiore. 235--269 (2004; Zbl 1083.35054)
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Yagdjian, Karen The \(C^\infty\)-well posed Cauchy problem for hyperbolic operators dominated by time functions. (English) Zbl 1073.35180 Jap. J. Math., New Ser. 30, No. 2, 283-348 (2004). Reviewer: Michael Reissig (Freiberg) MSC: 35L80 58J45 58J47 35A27 35A21 PDFBibTeX XMLCite \textit{K. Kajitani} et al., Jpn. J. Math., New Ser. 30, No. 2, 283--348 (2004; Zbl 1073.35180)
Kajitani, Kunihiko; Satoh, Atsushi On extension of solutions of Kirchhoff equations. (English) Zbl 1056.35121 J. Math. Soc. Japan 56, No. 2, 405-416 (2004). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35L15 35B40 35B60 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{A. Satoh}, J. Math. Soc. Japan 56, No. 2, 405--416 (2004; Zbl 1056.35121) Full Text: DOI
Kajitani, Kunihiko; Taglialatela, Giovanni Microlocal smoothing effect for Schrödinger equations in Gevrey spaces. (English) Zbl 1060.35006 Begehr, Heinrich G. (ed.) et al., Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20–25, 2001. River Edge, NJ: World Scientific (ISBN 981-238-572-X/set; 981-238-968-7/v.1; 981-238-967-9/v.2). 977-985 (2003). MSC: 35A27 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{G. Taglialatela}, in: Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20--25, 2001. River Edge, NJ: World Scientific. 977--985 (2003; Zbl 1060.35006)
Kajitani, Kunihiko; Spagnolo, Sergio Strong Gevrey solvability for a system of linear partial differential equations. (English) Zbl 1062.35038 Kajitani, Kunihiko (ed.) et al., Partial differential equations and mathematical physics. In memory of Jean Leray. Basel: Birkhäuser (ISBN 0-8176-4309-5/hbk). Prog. Nonlinear Differ. Equ. Appl. 52, 121-141 (2003). MSC: 35L45 35B65 35A05 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Spagnolo}, Prog. Nonlinear Differ. Equ. Appl. 52, 121--141 (2003; Zbl 1062.35038)
Kajitani, Kunihiko Smoothing effect in Gevrey classes for Schrödinger equations. (English) Zbl 1060.35032 Ancona, Vincenzo (ed.) et al., Hyperbolic differential operators and related problems. New York, NY: Marcel Dekker (ISBN 0-8247-0963-2/pbk). Lect. Notes Pure Appl. Math. 233, 269-285 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B65 PDFBibTeX XMLCite \textit{K. Kajitani}, Lect. Notes Pure Appl. Math. 233, 269--285 (2003; Zbl 1060.35032)
Kajitani, Kunihiko The Cauchy problem for hyperbolic operators dominated by the time function. (English) Zbl 1064.35101 Ancona, Vincenzo (ed.) et al., Hyperbolic differential operators and related problems. New York, NY: Marcel Dekker (ISBN 0-8247-0963-2/pbk). Lect. Notes Pure Appl. Math. 233, 31-40 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L30 PDFBibTeX XMLCite \textit{K. Kajitani}, Lect. Notes Pure Appl. Math. 233, 31--40 (2003; Zbl 1064.35101)
Colombini, Ferruccio; Kajitani, Kunihiko The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. (English) Zbl 1052.35108 Colombini, Ferruccio (ed.) et al., Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10–14, 2002. Somerville, MA: International Press (ISBN 1-57146-150-7/pbk). Grad. Ser. Anal., 67-84 (2003). Reviewer: Michael Reissig (Freiberg) MSC: 35L15 35L80 35S30 PDFBibTeX XMLCite \textit{F. Colombini} and \textit{K. Kajitani}, in: Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10--14, 2002. Somerville, MA: International Press. 67--84 (2003; Zbl 1052.35108)
Dan, Yuya; Kajitani, Kunihiko Exponential time decay solutions of Schrödinger equations and of wave equations in even dimensional spaces. (English) Zbl 1048.35094 Begehr, Heinrich G. W. (ed.) et al., Analysis and applications–ISAAC 2001. Proceedings of the 3rd international congress, Berlin, Germany, August 20–25, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1384-1/hbk). Int. Soc. Anal. Appl. Comput. 10, 293-301 (2003). MSC: 35Q40 35S30 35B40 PDFBibTeX XMLCite \textit{Y. Dan} and \textit{K. Kajitani}, Int. Soc. Anal. Appl. Comput. 10, 293--301 (2003; Zbl 1048.35094)
Kajitani, Kunihiko; Taglialatela, Giovanni Microlocal smoothing effect for Schrödinger equations in Gevrey spaces. (English) Zbl 1053.35032 J. Math. Soc. Japan 55, No. 4, 855-896 (2003). Reviewer: Antonio Bove (Bologna) MSC: 35B65 35Q40 35J10 35Q55 35A27 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{G. Taglialatela}, J. Math. Soc. Japan 55, No. 4, 855--896 (2003; Zbl 1053.35032) Full Text: DOI
Kajitani, Kunihiko On the Cauchy problem for Kirchhoff equations of \(p\)-Laplacian type. (English) Zbl 1031.35090 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 24, 355-362 (2003). Reviewer: Jong Yeoul Park (Pusan) MSC: 35L15 35L70 35L80 35A07 PDFBibTeX XMLCite \textit{K. Kajitani}, Math. Phys. Stud. 24, 355--362 (2003; Zbl 1031.35090)
Kajitani, Kunihiko (ed.); Vaillant, Jean (ed.) Partial differential equations and mathematical physics. In memory of Jean Leray. (English) Zbl 1005.00051 Progress in Nonlinear Differential Equations and their Applications. 52. Basel: Birkhäuser. xi, 238 p. (2003). MSC: 00B30 35-06 PDFBibTeX XMLCite \textit{K. Kajitani} (ed.) and \textit{J. Vaillant} (ed.), Partial differential equations and mathematical physics. In memory of Jean Leray. Basel: Birkhäuser (2003; Zbl 1005.00051)
Dan, Yuya; Kajitani, Kunihiko Smoothing effect and exponential time decay of solutions of Schrödinger equations. (English) Zbl 1106.35329 Proc. Japan Acad., Ser. A 78, No. 6, 92-95 (2002). MSC: 35Q40 35B40 PDFBibTeX XMLCite \textit{Y. Dan} and \textit{K. Kajitani}, Proc. Japan Acad., Ser. A 78, No. 6, 92--95 (2002; Zbl 1106.35329) Full Text: DOI Euclid
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Yagdjian, Karen The hyperbolic operators with the characteristics vanishing with the different speeds. (English) Zbl 1056.35007 Osaka J. Math. 39, No. 2, 447-485 (2002). MSC: 35A27 35S05 PDFBibTeX XMLCite \textit{K. Kajitani} et al., Osaka J. Math. 39, No. 2, 447--485 (2002; Zbl 1056.35007)
Kajitani, Kunihiko; Taglialatela, Giovanni The microlocal smoothing effect for Schrödinger type operators in Gevrey classes. (English) Zbl 1211.35011 RIMS Kokyuroku 1211, 54-55 (2001). MSC: 35A27 35A10 35J10 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{G. Taglialatela}, RIMS Kokyuroku 1211, 54--55 (2001; Zbl 1211.35011)
Kajitani, Kunihiko Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations. (English) Zbl 1021.35005 Journées “Équations aux dérivées partielles”, La Chapelle sur Erdre, Nantes, France, 5 au 9 juin 2000. Exposés Nos. I-XX. Nantes: Université de Nantes. Exp. No. 8, 14 p. (2000). MSC: 35A21 35A07 35A20 35L70 35L15 PDFBibTeX XMLCite \textit{K. Kajitani}, in: Journées ``Équations aux dérivées partielles'', La Chapelle sur Erdre, Nantes, France, 5 au 9 juin 2000. Exposés Nos. I-XX. Nantes: Université de Nantes. Exp. No. 8, 14 p. (2000; Zbl 1021.35005) Full Text: Numdam EuDML
Kajitani, Kunihiko; Wakabayashi, Seiichiro Analytically smoothing effect for Schrödinger type equations with variable coefficients. (English) Zbl 1043.35055 Gilbert, Robert P. (ed.) et al., Direct and inverse problems of mathematical physics. Papers presented at special sessions of the ISAAC’97 congress, University of Delaware, Newark, DE, USA, June 2–7, 1997. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6005-2/hbk). Int. Soc. Anal. Appl. Comput. 5, 185-219 (2000). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35G10 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Int. Soc. Anal. Appl. Comput. 5, 185--219 (2000; Zbl 1043.35055)
Kajitani, Kunihiko Smoothing effect in Gevrey classes for Schrödinger equations. II. (English) Zbl 1200.35074 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 45, Suppl., 173-186 (1999). MSC: 35J20 35A08 35B65 PDFBibTeX XMLCite \textit{K. Kajitani}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 45, 173--186 (1999; Zbl 1200.35074)
Kajitani, Kunihiko; Yamaguti, Kaoru Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems. (English) Zbl 0940.35128 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 3, 471-487 (1999). Reviewer: V.Iftimie (Bucureşti) MSC: 35L45 35L60 35B65 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{K. Yamaguti}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 28, No. 3, 471--487 (1999; Zbl 0940.35128) Full Text: Numdam EuDML
Kajitani, Kunihiko Analytically smoothing effect for Schrödinger equations. (English) Zbl 1304.35593 Discrete Contin. Dyn. Syst. 1998, Suppl., 350-352 (1998). MSC: 35Q41 35B65 PDFBibTeX XMLCite \textit{K. Kajitani}, Discrete Contin. Dyn. Syst. 1998, 350--352 (1998; Zbl 1304.35593) Full Text: Link
Kajitani, Kunihiko; Yagdjian, Karen Quasilinear hyperbolic operators with the characteristics of variable multiplicity. (English) Zbl 0942.35106 Tsukuba J. Math. 22, No. 1, 49-85 (1998). Reviewer: M.Reissig (Freiberg) MSC: 35L25 35S10 35L80 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{K. Yagdjian}, Tsukuba J. Math. 22, No. 1, 49--85 (1998; Zbl 0942.35106) Full Text: DOI
Kajitani, Kunihiko Smoothing effect in Gevrey classes for Schrödinger equations. (English) Zbl 0932.35050 RIMS Kokyuroku 1056, 46-58 (1998). MSC: 35J10 35B65 46E35 35S30 PDFBibTeX XMLCite \textit{K. Kajitani}, RIMS Kokyuroku 1056, 46--58 (1998; Zbl 0932.35050)
Kajitani, Kunihiko; Mikami, Masahiro The Cauchy problem for degenerate parabolic equations in Gevrey classes. (English) Zbl 0920.35067 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 2, 383-406 (1998). Reviewer: L.Rodino (Torino) MSC: 35K30 35K65 35S05 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{M. Mikami}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 2, 383--406 (1998; Zbl 0920.35067) Full Text: Numdam EuDML
Kajitani, Kunihiko The Cauchy problem for Schrödinger type equations with variable coefficients. (English) Zbl 0917.35129 J. Math. Soc. Japan 50, No. 1, 179-202 (1998). Reviewer: Jan Chrastina (Brno) MSC: 35Q55 35L15 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Soc. Japan 50, No. 1, 179--202 (1998; Zbl 0917.35129) Full Text: DOI
Kajitani, Kunihiko; Wakabayashi, Seiichiro The Cauchy problem for a class of hyperbolic operators with double characteristics. (English) Zbl 0872.35068 Funkc. Ekvacioj, Ser. Int. 39, No. 2, 235-307 (1996). Reviewer: K.Kajitani (Ibaraki) MSC: 35L80 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Funkc. Ekvacioj, Ser. Int. 39, No. 2, 235--307 (1996; Zbl 0872.35068)
Kajitani, Kunihiko; Baba, Akio The Cauchy problem for Schrödinger type equations. (English) Zbl 0856.35024 Bull. Sci. Math. 119, No. 5, 459-473 (1995). Reviewer: M.-A.Zurro (Madrid) MSC: 35G10 35J10 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{A. Baba}, Bull. Sci. Math. 119, No. 5, 459--473 (1995; Zbl 0856.35024)
Kajitani, Kunihiko; Nishitani, Tatsuo; Wakabayashi, Seiichiro The Cauchy problem for hyperbolic operators of strong type. (English) Zbl 0900.35224 Kataoka, Kiyoomi (ed.), Hyperfunctions and differential equations. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, January 20–22, 1993. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences, RIMS Kôkyûroku. 894, 43-66 (1995). MSC: 35L30 PDFBibTeX XMLCite \textit{K. Kajitani} et al., in: Hyperfunctions and differential equations. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, January 20--22, 1993. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences. 43--66 (1995; Zbl 0900.35224)
Kajitani, Kunihiko; Wakabayashi, Seiichiro; Nishitani, Tatsuo The Cauchy problem for hyperbolic operators of strong type. (English) Zbl 0826.35066 Duke Math. J. 75, No. 2, 353-408 (1994). Reviewer: A.Bove (Bologna) MSC: 35L30 35L80 PDFBibTeX XMLCite \textit{K. Kajitani} et al., Duke Math. J. 75, No. 2, 353--408 (1994; Zbl 0826.35066) Full Text: DOI
Kajitani, Kunihiko; Yamaguti, Kaoru On global real analytic solutions of the degenerate Kirchhoff equation. (English) Zbl 0819.35099 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 2, 279-297 (1994). Reviewer: S.A.Spagnolo (Pisa) MSC: 35L80 35Q72 74K05 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{K. Yamaguti}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 2, 279--297 (1994; Zbl 0819.35099) Full Text: Numdam EuDML
Kajitani, Kunihiko; Wakabayashi, Seiichiro Microlocal a priori estimates and the Cauchy problem. II. (English) Zbl 0851.35006 Jap. J. Math., New Ser. 20, No. 1, 1-71 (1994). Reviewer: Chen Shuxing (Shanghai) MSC: 35A27 35L30 35B45 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Jpn. J. Math., New Ser. 20, No. 1, 1--71 (1994; Zbl 0851.35006)
Kajitani, Kunihiko; Wakabayashi, Seiichiro Microlocal a priori estimates and the Cauchy problem. I. (English) Zbl 0796.35101 Jap. J. Math., New Ser. 19, No. 2, 353-418 (1993). Reviewer: Chen Shuxing (Shanghai) MSC: 35L55 58J47 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Jpn. J. Math., New Ser. 19, No. 2, 353--418 (1993; Zbl 0796.35101)
Kajitani, Kunihiko; Nishitani, Tatsuo The hyperbolic Cauchy problem. (English) Zbl 0762.35002 Lecture Notes in Mathematics. 1505. Berlin etc.: Springer-Verlag. vii, 168 p. (1991). Reviewer: E.C.Young (Tallahassee) MSC: 35-02 35S10 35L99 35S30 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{T. Nishitani}, The hyperbolic Cauchy problem. Berlin etc.: Springer-Verlag (1991; Zbl 0762.35002) Full Text: DOI
Kajitani, Kunihiko; Wakabayashi, Seiichiro Propagation of singularities for several classes of pseudodifferential operators. (English) Zbl 0758.35097 Bull. Sci. Math., II. Sér. 115, No. 4, 397-449 (1991). Reviewer: V.Petkov (Bordeaux) MSC: 35S10 35S05 58J47 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Bull. Sci. Math., II. Sér. 115, No. 4, 397--449 (1991; Zbl 0758.35097)
Kajitani, Kunihiko; Wakabayashi, Seiichiro The hyperbolic mixed problem in Gevrey classes. (English) Zbl 0706.35081 Jap. J. Math., New Ser. 15, No. 2, 309-383 (1989). Reviewer: K.Kajitani MSC: 35L35 35L30 35B30 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Jpn. J. Math., New Ser. 15, No. 2, 309--383 (1989; Zbl 0706.35081)
Kajitani, Kunihiko; Wakabayashi, Seiichiro Microhyperbolic operators in Gevrey classes. (English) Zbl 0705.35158 Publ. Res. Inst. Math. Sci. 25, No. 2, 169-221 (1989). Reviewer: B.D.Sleeman MSC: 35S05 58J47 PDFBibTeX XMLCite \textit{K. Kajitani} and \textit{S. Wakabayashi}, Publ. Res. Inst. Math. Sci. 25, No. 2, 169--221 (1989; Zbl 0705.35158) Full Text: DOI
Kajitani, K.; Wakabayashi, S. Hypoelliptic operators in Gevrey classes. (English) Zbl 0733.35029 Recent developments in hyperbolic equations, Proc. Conf., Pisa/Italy 1987, Pitman Res. Notes Math. Ser. 183, 115-134 (1988). Reviewer: R.Guenther (Corvallis) MSC: 35H10 35S05 PDFBibTeX XML
Wakabayashi, S.; Kajitani, K. Hyperbolic operators in Gevrey classes. (English) Zbl 0722.35051 Recent developments in hyperbolic equations, Proc. Conf., Pisa/Italy 1987, Pitman Res. Notes Math. Ser. 183, 386-401 (1988). MSC: 35L15 35B30 35S10 PDFBibTeX XML
Kajitani, Kunihito Le problème de Cauchy pour les systèmes hyperboliques linéaires avec un symétriseur non régulier. (Cauchy problem for linear hyperbolic systems with non-regular symmetrizer). (French) Zbl 0673.35066 Calcul d’opérateurs et fronts d’ondes, Expo. Sémin. Vaillant, Paris/Fr., Trav. Cours 29, 73-97 (1988). Reviewer: S.Cinquini MSC: 35L45 35A05 PDFBibTeX XML
Kajitani, Kunihiko Wellposedness in Gevrey class of the Cauchy problem for hyperbolic operators. (English) Zbl 0653.35051 Bull. Sci. Math., II. Sér. 111, 415-438 (1987). MSC: 35L30 35A05 PDFBibTeX XMLCite \textit{K. Kajitani}, Bull. Sci. Math., II. Sér. 111, 415--438 (1987; Zbl 0653.35051)
Kajitani, Kunihiko The Cauchy problem for uniformly diagonalizable hyperbolic systems in Gevrey classes. (English) Zbl 0669.35065 Hyperbolic equations and related topics, Proc. Taniguchi Int. Symp., Katata and Kyoto/Jap. 1984, 101-123 (1986). Reviewer: A.Tsutsumi MSC: 35L45 35S10 35B65 35A05 PDFBibTeX XML
Kajitani, K. The Cauchy problem for nonlinear hyperbolic systems. (English) Zbl 0657.35082 Bull. Sci. Math., II. Sér. 110, 3-48 (1986). MSC: 35L60 35L45 35A07 35A05 35B65 PDFBibTeX XMLCite \textit{K. Kajitani}, Bull. Sci. Math., II. Sér. 110, 3--48 (1986; Zbl 0657.35082)
Kajitani, Kunihiko Global real analytic solutions of the Cauchy problem for linear partial differential equations. (English) Zbl 0628.35015 Commun. Partial Differ. Equations 11, 1489-1513 (1986). Reviewer: G.Gussi MSC: 35F10 35B65 35D05 46E35 PDFBibTeX XMLCite \textit{K. Kajitani}, Commun. Partial Differ. Equations 11, 1489--1513 (1986; Zbl 0628.35015) Full Text: DOI
Kajitani, K. Problème de Cauchy pour les équations linéaires et non linéaires hyperboliques dans les classes de Gevrey; un opérateur partiellement strictement hyperbolique. (Cauchy problem for linear and nonlinear hyperbolic equations in Gevrey classes; a partially strictly hyperbolic operator). (French) Zbl 0574.35060 Propagation des singularités et opérateurs différentiels, Sémin. Vaillant, Paris 1984, Trav. en Cours, 72-81 (1985). Reviewer: R.Vaillancourt MSC: 35L30 35L75 35B65 35A05 35A30 PDFBibTeX XML
Kajitani, Kunihiko Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes. (English) Zbl 0544.35063 J. Math. Kyoto Univ. 23, 599-616 (1983). MSC: 35L30 35B45 35A05 46E35 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Kyoto Univ. 23, 599--616 (1983; Zbl 0544.35063) Full Text: DOI
Kajitani, Kunihiko Nonlinear Cauchy-Kowalewski theorem for pseudo-differential operators. (English) Zbl 0534.35014 Commun. Partial Differ. Equations 8, 1487-1520 (1983). Reviewer: C.Zuily MSC: 35F25 35A10 35S05 PDFBibTeX XMLCite \textit{K. Kajitani}, Commun. Partial Differ. Equations 8, 1487--1520 (1983; Zbl 0534.35014) Full Text: DOI
Kajitani, Kunihiko Cauchy problem for non-strictly hyperbolic systems. II. Leray-Volevich’s systems and well-posedness. (English) Zbl 0546.35041 J. Math. Kyoto Univ. 22, 261-283 (1982). Reviewer: E.Young MSC: 35L30 35L45 35L55 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Kyoto Univ. 22, 261--283 (1982; Zbl 0546.35041) Full Text: DOI
Kajitani, Kunihiko Leray-Volevich’s system and Gevrey class. (English) Zbl 0501.35052 J. Math. Kyoto Univ. 21, 547-574 (1981). MSC: 35L55 35G10 35A08 35A30 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Kyoto Univ. 21, 547--574 (1981; Zbl 0501.35052) Full Text: DOI
Kajitani, Kunihiko Non-linear Leray-Volevich systems and Gevrey class. (English) Zbl 0495.35026 Commun. Partial Differ. Equations 6, 1137-1162 (1981). MSC: 35G25 35A05 PDFBibTeX XMLCite \textit{K. Kajitani}, Commun. Partial Differ. Equations 6, 1137--1162 (1981; Zbl 0495.35026) Full Text: DOI
Kajitani, Kunihiko On the E-well posed evolution equations. (English) Zbl 0463.35020 Commun. Partial Differ. Equations 4, 595-608 (1979). MSC: 35G10 35K25 PDFBibTeX XMLCite \textit{K. Kajitani}, Commun. Partial Differ. Equations 4, 595--608 (1979; Zbl 0463.35020) Full Text: DOI
Kajitani, Kunihiko Cauchy problem for non-strictly hyperbolic systems. (English) Zbl 0446.35062 Publ. Res. Inst. Math. Sci. 15, 519-550 (1979). MSC: 35L30 35L55 35L45 PDFBibTeX XMLCite \textit{K. Kajitani}, Publ. Res. Inst. Math. Sci. 15, 519--550 (1979; Zbl 0446.35062) Full Text: DOI
Kajitani, Kunihiko Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey class. (English) Zbl 0402.35068 Tsukuba J. Math. 1, 163-193 (1977). MSC: 35L45 35A08 35S10 PDFBibTeX XMLCite \textit{K. Kajitani}, Tsukuba J. Math. 1, 163--193 (1977; Zbl 0402.35068) Full Text: DOI
Kajitani, Kunihiko A necessary condition for the well posed hyperbolic mixed problem with variable coefficients. (English) Zbl 0291.35058 J. Math. Kyoto Univ. 14, 231-242 (1974). MSC: 35L50 35A99 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Kyoto Univ. 14, 231--242 (1974; Zbl 0291.35058) Full Text: DOI
Kajitani, Kunihiko Strongly hyperbolic systems with variable coefficients. (English) Zbl 0284.35043 Publ. Res. Inst. Math. Sci., Kyoto Univ. 9, 597-612 (1974). MSC: 35L40 35B45 PDFBibTeX XMLCite \textit{K. Kajitani}, Publ. Res. Inst. Math. Sci. 9, 597--612 (1974; Zbl 0284.35043) Full Text: DOI
Kajitani, Kunihiko Sur la condition necessaire du problème mixte bien pose pour les systèmes hyperboliques à coefficients variables. (French) Zbl 0283.35054 Publ. Res. Inst. Math. Sci., Kyoto Univ. 9, 261-284 (1974). MSC: 35L50 35B45 PDFBibTeX XMLCite \textit{K. Kajitani}, Publ. Res. Inst. Math. Sci. 9, 261--284 (1974; Zbl 0283.35054) Full Text: DOI
Kajitani, Kunihiko A necessary condition for the L\(^2\)-well-posed Cauchy problem with variable coefficients. (English) Zbl 0273.35051 J. Math. Kyoto Univ. 13, 391-401 (1973). MSC: 35L45 35A05 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Kyoto Univ. 13, 391--401 (1973; Zbl 0273.35051) Full Text: DOI
Kajitani, Kunihiko Initial-boundary value problems for first order hyperbolic systems. (English) Zbl 0246.35054 Publ. Res. Inst. Math. Sci., Kyoto Univ. 7, 181-204 (1971). MSC: 35L40 35L50 47Gxx PDFBibTeX XMLCite \textit{K. Kajitani}, Publ. Res. Inst. Math. Sci. 7, 181--204 (1971; Zbl 0246.35054) Full Text: DOI
Kajitani, Kunihiko First order hyperbolic mixed problems. (English) Zbl 0231.35050 J. Math. Kyoto Univ. 11, 449-484 (1971). MSC: 35L40 35M10 35S99 PDFBibTeX XMLCite \textit{K. Kajitani}, J. Math. Kyoto Univ. 11, 449--484 (1971; Zbl 0231.35050) Full Text: DOI