Ashordia, Malkhaz; Kharshiladze, Nato On the well-posedness of the weighted Cauchy problem for systems of linear impulsive differential equations with singularities. (English) Zbl 07527260 Mem. Differ. Equ. Math. Phys. 85, 21-33 (2022). MSC: 34A12 34A30 34A37 34K26 PDF BibTeX XML Cite \textit{M. Ashordia} and \textit{N. Kharshiladze}, Mem. Differ. Equ. Math. Phys. 85, 21--33 (2022; Zbl 07527260) Full Text: Link OpenURL
Kazashi, Yoshihito; Nobile, Fabio Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. (English) Zbl 1480.35414 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 3, 603-629 (2021). MSC: 35R60 81Q05 15A23 65M75 65C20 PDF BibTeX XML Cite \textit{Y. Kazashi} and \textit{F. Nobile}, Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 3, 603--629 (2021; Zbl 1480.35414) Full Text: DOI arXiv OpenURL
Lee, Hyeongjin; Seo, Ihyeok; Seok, Jihyeon Local smoothing and Strichartz estimates for the Klein-Gordon equation with the inverse-square potential. (English) Zbl 1429.35146 Discrete Contin. Dyn. Syst. 40, No. 1, 597-608 (2020). MSC: 35L15 35B45 35Q40 35B65 PDF BibTeX XML Cite \textit{H. Lee} et al., Discrete Contin. Dyn. Syst. 40, No. 1, 597--608 (2020; Zbl 1429.35146) Full Text: DOI arXiv OpenURL
Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. (English) Zbl 07169916 Comput. Methods Appl. Math. 19, No. 4, 779-796 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65J10 34G10 45L05 PDF BibTeX XML Cite \textit{L. Liu} et al., Comput. Methods Appl. Math. 19, No. 4, 779--796 (2019; Zbl 07169916) Full Text: DOI OpenURL
Hyakuna, Ryosuke On the global Cauchy problem for the Hartree equation with rapidly decaying initial data. (English) Zbl 1421.35337 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 4, 1081-1104 (2019). Reviewer: Konstantin Merz (München) MSC: 35Q55 35Q40 35A01 35A02 81Q05 PDF BibTeX XML Cite \textit{R. Hyakuna}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 4, 1081--1104 (2019; Zbl 1421.35337) Full Text: DOI OpenURL
Gorgodze, N.; Ramishvili, I. Well-posedness of the Cauchy problem for one class of neutral quasi-linear differential equation with distributed delay. (English) Zbl 1415.34125 Semin. I. Vekua Inst. Appl. Math., Rep. 44, 39-44 (2018). MSC: 34K40 34K27 PDF BibTeX XML Cite \textit{N. Gorgodze} and \textit{I. Ramishvili}, Semin. I. Vekua Inst. Appl. Math., Rep. 44, 39--44 (2018; Zbl 1415.34125) Full Text: Link OpenURL
Tadumadze, Tamaz On the well-posedness of the Cauchy problem for a neutral differential equation with distributed prehistory. (English) Zbl 1375.34118 Bull. TICMI 21, No. 1, 3-8 (2017). MSC: 34K40 34K27 34K20 PDF BibTeX XML Cite \textit{T. Tadumadze}, Bull. TICMI 21, No. 1, 3--8 (2017; Zbl 1375.34118) OpenURL
Dvalishvili, Phridon; Tadumadze, Tamaz On the well-posedness of the Cauchy problem for differential equations with distributed prehistory considering delay function perturbations. (English) Zbl 1352.34091 Trans. A. Razmadze Math. Inst. 170, No. 1, 7-18 (2016). MSC: 34K05 PDF BibTeX XML Cite \textit{P. Dvalishvili} and \textit{T. Tadumadze}, Trans. A. Razmadze Math. Inst. 170, No. 1, 7--18 (2016; Zbl 1352.34091) Full Text: DOI OpenURL
Ashordia, Malkhaz On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations. (English) Zbl 1358.34017 Trans. A. Razmadze Math. Inst. 170, No. 2, 149-165 (2016). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 34A12 34A30 PDF BibTeX XML Cite \textit{M. Ashordia}, Trans. A. Razmadze Math. Inst. 170, No. 2, 149--165 (2016; Zbl 1358.34017) Full Text: DOI OpenURL
Ashordia, Malkhaz On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations. (English) Zbl 1413.34058 Math. Bohem. 141, No. 2, 183-215 (2016). Reviewer: Milan Tvrdý (Praha) MSC: 34A12 34A30 PDF BibTeX XML Cite \textit{M. Ashordia}, Math. Bohem. 141, No. 2, 183--215 (2016; Zbl 1413.34058) Full Text: DOI OpenURL
Chen, Thomas; Pavlović, Nataša Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime norms. (English) Zbl 1338.35406 Ann. Henri Poincaré 15, No. 3, 543-588 (2014). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q55 35Q53 81Q05 82C22 81V70 PDF BibTeX XML Cite \textit{T. Chen} and \textit{N. Pavlović}, Ann. Henri Poincaré 15, No. 3, 543--588 (2014; Zbl 1338.35406) Full Text: DOI arXiv OpenURL
Amorim, Paulo On a nonlocal hyperbolic conservation law arising from a gradient constraint problem. (English) Zbl 1255.35164 Bull. Braz. Math. Soc. (N.S.) 43, No. 4, 599-614 (2012). MSC: 35L65 35L03 35B35 PDF BibTeX XML Cite \textit{P. Amorim}, Bull. Braz. Math. Soc. (N.S.) 43, No. 4, 599--614 (2012; Zbl 1255.35164) Full Text: DOI arXiv OpenURL
Fokas, Athanasios S.; Himonas, A. Alexandrou Well-posedness of an integrable generalization of the nonlinear Schrödinger equation on the circle. (English) Zbl 1216.35136 Lett. Math. Phys. 96, No. 1-3, 169-189 (2011). MSC: 35Q55 35A01 35A02 65M60 35A24 PDF BibTeX XML Cite \textit{A. S. Fokas} and \textit{A. A. Himonas}, Lett. Math. Phys. 96, No. 1--3, 169--189 (2011; Zbl 1216.35136) Full Text: DOI OpenURL
Li, Xiuming On the local well-posedness for the Camassa-Holm equation interacted with the Degasperis-Procesi equation. (English) Zbl 1215.35141 Int. J. Nonlinear Sci. 10, No. 2, 238-247 (2010). MSC: 35Q53 35A01 35A02 35B30 47N20 PDF BibTeX XML Cite \textit{X. Li}, Int. J. Nonlinear Sci. 10, No. 2, 238--247 (2010; Zbl 1215.35141) OpenURL
Zhou, Yi Cauchy problem of nonlinear Schrödinger equation with initial data in Sobolev space \(W^{s,p}\) for \(p<2\). (English) Zbl 1198.35264 Trans. Am. Math. Soc. 362, No. 9, 4683-4694 (2010). MSC: 35Q55 35Q41 35A01 35A02 81Q05 PDF BibTeX XML Cite \textit{Y. Zhou}, Trans. Am. Math. Soc. 362, No. 9, 4683--4694 (2010; Zbl 1198.35264) Full Text: DOI arXiv OpenURL
Ishida, Haruhisa Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order. (English) Zbl 1180.35367 J. Math. Kyoto Univ. 49, No. 1, Article ID 9, 173-191 (2009). Reviewer: Michael Reissig (Freiberg) MSC: 35L80 35L30 PDF BibTeX XML Cite \textit{H. Ishida}, J. Math. Kyoto Univ. 49, No. 1, Article ID 9, 173--191 (2009; Zbl 1180.35367) Full Text: DOI Link OpenURL
Fanelli, Luca Semilinear Schrödinger equation with time dependent coefficients. (English) Zbl 1185.35255 Math. Nachr. 282, No. 7, 976-994 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35B45 81Q05 PDF BibTeX XML Cite \textit{L. Fanelli}, Math. Nachr. 282, No. 7, 976--994 (2009; Zbl 1185.35255) Full Text: DOI OpenURL
Voronin, A. F. The well-posedness of a convolution equations on a finite interval and of a system of Cauchy-type singular integral equations. (Russian. English summary) Zbl 1299.30113 Sib. Èlektron. Mat. Izv. 5, 456-464 (2008). MSC: 30E20 45E05 45E10 45F15 PDF BibTeX XML Cite \textit{A. F. Voronin}, Sib. Èlektron. Mat. Izv. 5, 456--464 (2008; Zbl 1299.30113) Full Text: Link OpenURL
Şerban, Marcel-Adrian Fixed point theorems for triangular operators. (English) Zbl 1247.47031 Carpathian J. Math. 24, No. 3, 409-416 (2008). MSC: 47H10 PDF BibTeX XML Cite \textit{M.-A. Şerban}, Carpathian J. Math. 24, No. 3, 409--416 (2008; Zbl 1247.47031) OpenURL
Lenzmann, Enno Well-posedness for semi-relativistic Hartree equations of critical type. (English) Zbl 1171.35474 Math. Phys. Anal. Geom. 10, No. 1, 43-64 (2007). MSC: 35Q55 35B30 81Q05 83F05 PDF BibTeX XML Cite \textit{E. Lenzmann}, Math. Phys. Anal. Geom. 10, No. 1, 43--64 (2007; Zbl 1171.35474) Full Text: DOI arXiv OpenURL
Voronin, A. F. On the well-posedness of Riemann boundary value problems with matrix coefficient. (English. Russian original) Zbl 1157.45304 Dokl. Math. 75, No. 3, 358-360 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 2, 156-158 (2007). MSC: 45F15 30E25 47A68 PDF BibTeX XML Cite \textit{A. F. Voronin}, Dokl. Math. 75, No. 3, 358--360 (2007; Zbl 1157.45304); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 2, 156--158 (2007) Full Text: DOI OpenURL
Hào, Dinh Nho; Hien, Pham Minh; Sahli, H. Stability results for a Cauchy problem for an elliptic equation. (English) Zbl 1119.35110 Inverse Probl. 23, No. 1, 421-461 (2007). Reviewer: Daniel Lesnic (Leeds) MSC: 35R25 PDF BibTeX XML Cite \textit{D. N. Hào} et al., Inverse Probl. 23, No. 1, 421--461 (2007; Zbl 1119.35110) Full Text: DOI OpenURL
Bernardi, Enrico; Bove, Antonio On the Cauchy problem for some hyperbolic operator with double characteristics. (English) Zbl 1125.35056 Bove, Antonio (ed.) et al., Phase space analysis of partial differential equations. Basel: Birkhäuser (ISBN 978-0-8176-4511-3/hbk; 978-0-8176-4521-2/e-book). Progress in Nonlinear Differential Equations and Their Applications 69, 29-44 (2006). Reviewer: Luigi Rodino (Torino) MSC: 35L15 37J05 PDF BibTeX XML Cite \textit{E. Bernardi} and \textit{A. Bove}, Prog. Nonlinear Differ. Equ. Appl. 69, 29--44 (2006; Zbl 1125.35056) OpenURL
Gallo, Clément Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces. (English) Zbl 1107.35099 Adv. Differ. Equ. 10, No. 3, 277-308 (2005). MSC: 35Q53 35A07 35A05 35B30 PDF BibTeX XML Cite \textit{C. Gallo}, Adv. Differ. Equ. 10, No. 3, 277--308 (2005; Zbl 1107.35099) OpenURL
Dreher, Michael; Witt, Ingo Sharp energy estimates for a class of weakly hyperbolic operators. (English) Zbl 1109.35078 Reissig, Michael (ed.) et al., New trends in the theory of hyperbolic equations. Basel: Birkhäuser (ISBN 3-7643-7283-4/hbk). Operator Theory: Advances and Applications 159, 449-511 (2005). Reviewer: Paul Godin (Bruxelles) MSC: 35L80 35L30 35S10 PDF BibTeX XML Cite \textit{M. Dreher} and \textit{I. Witt}, Oper. Theory: Adv. Appl. 159, 449--511 (2005; Zbl 1109.35078) OpenURL
Tanaka, Naoki Abstract Cauchy problems for quasi-linear evolution equations in the sense of Hadamard. (English) Zbl 1058.34079 Proc. Lond. Math. Soc., III. Ser. 89, No. 1, 123-160 (2004). Reviewer: Jacek Banasiak (Durban) MSC: 34G20 47D60 47D62 PDF BibTeX XML Cite \textit{N. Tanaka}, Proc. Lond. Math. Soc. (3) 89, No. 1, 123--160 (2004; Zbl 1058.34079) Full Text: DOI OpenURL
Bove, Antonio; Nishitani, Tatsuo Necessary conditions for hyperbolic systems. II. (English) Zbl 1063.35107 Jap. J. Math., New Ser. 29, No. 2, 357-388 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L45 35R25 PDF BibTeX XML Cite \textit{A. Bove} and \textit{T. Nishitani}, Jpn. J. Math., New Ser. 29, No. 2, 357--388 (2003; Zbl 1063.35107) OpenURL
Bove, Antonio; Nishitani, Tatsuo Necessary conditions for hyperbolicity of first order systems. (English) Zbl 1036.35120 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 17-35 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L40 35L45 35R25 PDF BibTeX XML Cite \textit{A. Bove} and \textit{T. Nishitani}, Math. Phys. Stud. 24, 17--35 (2003; Zbl 1036.35120) OpenURL
Calvo, Daniela Cauchy problem in generalized Gevrey classes. (English) Zbl 1024.35063 Picard, Rainer (ed.) et al., Evolution equations. Propagation phenomena, global existence, influence on non-linearities. Based on the workshop, Warsaw, Poland, July 1-July 7, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 60, 269-278 (2003). MSC: 35L40 PDF BibTeX XML Cite \textit{D. Calvo}, Banach Cent. Publ. 60, 269--278 (2003; Zbl 1024.35063) Full Text: Link OpenURL
Escobedo, Miguel Boltzmann equation for quantum particles and Fokker Planck approximation. (English) Zbl 1033.35092 Bemelmans, Josef (ed.) et al., Elliptic and parabolic problems. Proceedings of the 4th European conference, Rolduc, Netherlands, June 18–22, 2001 and Gaeta, Italy, September 24–28, 2001. Singapore: World Scientific (ISBN 981-238-045-0/hbk). 75-87 (2002). MSC: 35Q40 81Q05 82C40 PDF BibTeX XML Cite \textit{M. Escobedo}, in: Elliptic and parabolic problems. Proceedings of the 4th European conference, Rolduc, Netherlands, June 18--22, 2001 and Gaeta, Italy, September 24--28, 2001. Singapore: World Scientific. 75--87 (2002; Zbl 1033.35092) OpenURL
Ghedamsi, Mouna; Gourdin, Daniel; Mechab, Mustapha; Takeuchi, Jiro Schrödinger equations and systems with characteristic roots of multiplicity two. (Équations et systèmes du type de Schrödinger à racines caractéristiques de multiplicité deux.) (French) Zbl 1028.35060 Bull. Soc. R. Sci. Liège 71, No. 3, 169-187 (2002). Reviewer: Alexander I.Kheyfits (Bronx) MSC: 35K45 35B45 PDF BibTeX XML Cite \textit{M. Ghedamsi} et al., Bull. Soc. R. Sci. Liège 71, No. 3, 169--187 (2002; Zbl 1028.35060) OpenURL
LeFloch, Philippe G. Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. (English) Zbl 1019.35001 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. x, 294 p. (2002). Reviewer: Michael Sever (Jerusalem) MSC: 35-02 35L65 35L67 PDF BibTeX XML Cite \textit{P. G. LeFloch}, Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. Basel: Birkhäuser (2002; Zbl 1019.35001) OpenURL
Agliardi, Rossella Cauchy problem for evolution equations of Schrödinger type. (English) Zbl 1056.35043 J. Differ. Equations 180, No. 1, 89-98 (2002). MSC: 35G10 35A20 35K30 35A07 35Q40 PDF BibTeX XML Cite \textit{R. Agliardi}, J. Differ. Equations 180, No. 1, 89--98 (2002; Zbl 1056.35043) Full Text: DOI OpenURL
Amour, L.; Raoux, T. Decay of mass for a semilinear parabolic system. (English) Zbl 0999.35042 Benkirane, Abdelmoujib (ed.) et al., Partial differential equations. Proceedings of the international conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 229, 63-71 (2002). MSC: 35K45 35B40 35K55 PDF BibTeX XML Cite \textit{L. Amour} and \textit{T. Raoux}, Lect. Notes Pure Appl. Math. 229, 63--71 (2002; Zbl 0999.35042) OpenURL
Laurent, Yves; Mebkhout, Zoghman Image inverse d’un \(\mathcal D\)-module et polygone de Newton. (Inverse image of a \(\mathcal D\)-module and Newton polygon). (French) Zbl 0993.35007 Compos. Math. 131, No. 1, 97-119 (2002). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35A27 PDF BibTeX XML Cite \textit{Y. Laurent} and \textit{Z. Mebkhout}, Compos. Math. 131, No. 1, 97--119 (2002; Zbl 0993.35007) Full Text: DOI OpenURL
Colombini, Ferruccio; Nishitani, Tatsuo Weakly hyperbolic equations of second order and ultradifferentiable functions. (Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables.) (French. English summary) Zbl 0973.35123 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 1, 25-28 (2001). MSC: 35L15 26E10 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{T. Nishitani}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 1, 25--28 (2001; Zbl 0973.35123) Full Text: DOI OpenURL
Cicognani, Massimo Nonlinear weakly hyperbolic equations in Gevrey classes. (English) Zbl 0986.35144 Rodino, L. (ed.), Proceedings of the workshop on partial differential equations, Torino, Italy, May 8-10, 2000. Torino: Università di Torino, Dipartimento di Matematica, 19-26 (2000). Reviewer: L.Rodino (Torino) MSC: 35S05 35L99 PDF BibTeX XML Cite \textit{M. Cicognani}, in: Proceedings of the workshop on partial differential equations, Torino, Italy, May 8--10, 2000. Torino: Università di Torino, Dipartimento di Matematica. 19--26 (2000; Zbl 0986.35144) OpenURL
Hu, Shouchuan; Papageorgiou, Nikolas S. Handbook of multivalued analysis. Volume II: Applications. (English) Zbl 0943.47037 Mathematics and its Applications (Dordrecht). 500. Dordrecht: Kluwer Academic Publishers. xi, 926 p. (2000). Reviewer: P.Zabreiko (Minsk) MSC: 47H04 47-02 00A20 47-00 60G46 47H06 47H11 47H40 47H05 47H10 47J30 47J20 91A15 91B62 PDF BibTeX XML Cite \textit{S. Hu} and \textit{N. S. Papageorgiou}, Handbook of multivalued analysis. Volume II: Applications. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0943.47037) OpenURL
Liu, Tai-Ping; Yang, Tong \(L_1\) stability of conservation laws with coinciding Hugoniot and characteristic curves. (English) Zbl 0935.35090 Indiana Univ. Math. J. 48, No. 1, 237-247 (1999). Reviewer: Mária Lukáčová (Brno) MSC: 35L45 35L60 35L90 PDF BibTeX XML Cite \textit{T.-P. Liu} and \textit{T. Yang}, Indiana Univ. Math. J. 48, No. 1, 237--247 (1999; Zbl 0935.35090) Full Text: DOI Link OpenURL
Gramchev, Todor; Rodino, Luigi Gevrey solvability for semilinear partial differential equations with multiple characteristics. (English) Zbl 0924.35030 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 2, No. 1, 65-120 (1999). Reviewer: P.Popivanov (Sofia) MSC: 35G25 35A07 PDF BibTeX XML Cite \textit{T. Gramchev} and \textit{L. Rodino}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 2, No. 1, 65--120 (1999; Zbl 0924.35030) Full Text: EuDML OpenURL
Zuazua, Enrique Uniqueness problems for the Lamé system arising in the control of vibrations. (English) Zbl 1008.93048 Journées “Équations aux dérivées partielles”, Saint-Jean-de-Monts, France, 31 mai au 4 juin 1999. Exposés Nos. I–XIX. Nantes: Université de Nantes. Exp. No. XIX, 8 p. (1999). Reviewer: J.Lovíšek (Bratislava) MSC: 93C20 74H45 74M05 93B05 PDF BibTeX XML Cite \textit{E. Zuazua}, in: Journées ``Équations aux dérivées partielles'', Saint-Jean-de-Monts, France, 31 mai au 4 juin 1999. Exposés Nos. I--XIX (1999). Nantes: Université de Nantes. Exp. No. XIX, 8 p. (1998; Zbl 1008.93048) Full Text: Numdam OpenURL
Ozawa, T.; Tsutsumi, Y. Space-time estimates for null gauge forms and nonlinear Schrödinger equations. (English) Zbl 1008.35070 Differ. Integral Equ. 11, No. 2, 201-222 (1998). MSC: 35Q55 81Q05 PDF BibTeX XML Cite \textit{T. Ozawa} and \textit{Y. Tsutsumi}, Differ. Integral Equ. 11, No. 2, 201--222 (1998; Zbl 1008.35070) OpenURL
Kazhikhov, A. V.; Mamontov, A. E. On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in Orlicz spaces. (English. Russian original) Zbl 0917.35090 Sib. Math. J. 39, No. 4, 716-734 (1998); translation from Sib. Mat. Zh. 39, No. 4, 831-850 (1998). Reviewer: V.Grebenev (Novosibirsk) MSC: 35Q30 46E30 35A05 PDF BibTeX XML Cite \textit{A. V. Kazhikhov} and \textit{A. E. Mamontov}, Sib. Math. J. 39, No. 4, 831--850 (1998; Zbl 0917.35090); translation from Sib. Mat. Zh. 39, No. 4, 831--850 (1998) Full Text: DOI OpenURL
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo Interaction equations for short and long dispersive waves. (English) Zbl 0909.35123 J. Funct. Anal. 158, No. 2, 357-388 (1998). Reviewer: T.Aktosun (Fargo) MSC: 35Q55 76B15 PDF BibTeX XML Cite \textit{D. Bekiranov} et al., J. Funct. Anal. 158, No. 2, 357--388 (1998; Zbl 0909.35123) Full Text: DOI OpenURL
Yagdjian, Karen A note on Lax-Mizohata theorem for quasilinear equations. (English) Zbl 0921.35042 Commun. Partial Differ. Equations 23, No. 5-6, 1111-1122 (1998). Reviewer: M.Reissig (Freiberg) MSC: 35G25 35L75 58J70 PDF BibTeX XML Cite \textit{K. Yagdjian}, Commun. Partial Differ. Equations 23, No. 5--6, 1111--1122 (1998; Zbl 0921.35042) Full Text: DOI OpenURL
Tveito, Aslak; Winther, Ragnar On the rate of convergence to equilibrium for a system of conservation laws with a relaxation term. (English) Zbl 0868.35073 SIAM J. Math. Anal. 28, No. 1, 136-161 (1997). Reviewer: A.Meister (Hamburg) MSC: 35L65 PDF BibTeX XML Cite \textit{A. Tveito} and \textit{R. Winther}, SIAM J. Math. Anal. 28, No. 1, 136--161 (1997; Zbl 0868.35073) Full Text: DOI OpenURL
Joshi, Nalini; Srinivasan, Gopala K. The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg-de Vries equation. (English) Zbl 0906.35092 Nonlinearity 10, No. 1, 71-79 (1997). MSC: 35Q53 35A20 35B30 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{G. K. Srinivasan}, Nonlinearity 10, No. 1, 71--79 (1997; Zbl 0906.35092) Full Text: DOI arXiv OpenURL
D’Ancona, Piero; Reissig, Michael New trends in the theory of nonlinear weakly hyperbolic equations of second order. (English) Zbl 0890.35076 Nonlinear Anal., Theory Methods Appl. 30, No. 4, 2507-2515 (1997). MSC: 35L10 35L70 35L15 35A20 PDF BibTeX XML Cite \textit{P. D'Ancona} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl. 30, No. 4, 2507--2515 (1997; Zbl 0890.35076) Full Text: DOI OpenURL
Tagliatela, Giovanni Conditions of hyperbolicity for a matrix operator having characteristics of constant multiplicity. (Conditions d’hyperbolicité pour un opérateur matriciel à caractéristiques de multiplicité constante.) (French) Zbl 0896.35077 Boll. Unione Mat. Ital., VII. Ser., B 11, No. 4, 917-959 (1997). Reviewer: K.Kajitani (Ibaraki) MSC: 35L40 PDF BibTeX XML Cite \textit{G. Tagliatela}, Boll. Unione Mat. Ital., VII. Ser., B 11, No. 4, 917--959 (1997; Zbl 0896.35077) OpenURL
Bekiranov, Daniella; Ogawa, Takayoshi; Ponce, Gustavo Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions. (English) Zbl 0884.35138 Proc. Am. Math. Soc. 125, No. 10, 2907-2919 (1997). MSC: 35Q53 35Q55 76B15 PDF BibTeX XML Cite \textit{D. Bekiranov} et al., Proc. Am. Math. Soc. 125, No. 10, 2907--2919 (1997; Zbl 0884.35138) Full Text: DOI OpenURL
Bernardi, Enrico; Bove, Antonio Geometric transition for a class of hyperbolic operators with double characteristics. (English) Zbl 0885.35065 Jap. J. Math., New Ser. 23, No. 1, 1-87 (1997). Reviewer: K.Kajitani (Ibaraki) MSC: 35L30 35A05 PDF BibTeX XML Cite \textit{E. Bernardi} and \textit{A. Bove}, Jpn. J. Math., New Ser. 23, No. 1, 1--87 (1997; Zbl 0885.35065) OpenURL
Abergel, F. Well-posedness for a Cauchy problem associated to time-dependent free boundaries with nonlocal leading terms. (English) Zbl 0857.35139 Commun. Partial Differ. Equations 21, No. 9-10, 1307-1319 (1996). MSC: 35R35 35J65 80A22 PDF BibTeX XML Cite \textit{F. Abergel}, Commun. Partial Differ. Equations 21, No. 9--10, 1307--1319 (1996; Zbl 0857.35139) Full Text: DOI OpenURL
Kiguradze, I. T. On a singular Cauchy problem for systems of linear ordinary differential equations. (English. Russian original) Zbl 0880.34009 Differ. Equations 32, No. 2, 173-180 (1996); translation from Differ. Uravn. 32, No. 2, 171-179 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34A30 34A12 PDF BibTeX XML Cite \textit{I. T. Kiguradze}, Differ. Equations 32, No. 2, 173--180 (1996; Zbl 0880.34009); translation from Differ. Uravn. 32, No. 2, 171--179 (1996) OpenURL
Agliardi, Rossella Cauchy problem for non-Kovalevskian equations. (English) Zbl 0844.35003 Int. J. Math. 6, No. 6, 791-804 (1995). Reviewer: C.Simionescu-Badea (Wien) MSC: 35A10 PDF BibTeX XML Cite \textit{R. Agliardi}, Int. J. Math. 6, No. 6, 791--804 (1995; Zbl 0844.35003) Full Text: DOI OpenURL
Vaillant, Jean Systems of partial differential equations and classes of Gevrey. (Systèmes d’équations aux dérivées partielles et classes de Gevrey.) (French. Abridged English version) Zbl 0836.35033 C. R. Acad. Sci., Paris, Sér. I 320, No. 12, 1469-1474 (1995). MSC: 35F10 35B30 PDF BibTeX XML Cite \textit{J. Vaillant}, C. R. Acad. Sci., Paris, Sér. I 320, No. 12, 1469--1474 (1995; Zbl 0836.35033) OpenURL
Bernardi, E.; Bove, A. Geometric transition for a class of hyperbolic operators with double characteristics. (English) Zbl 0838.35068 Demuth, M. (ed.) et al., Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 78, 21-29 (1995). Reviewer: E.C.Young (Tallahassee) MSC: 35L25 PDF BibTeX XML Cite \textit{E. Bernardi} and \textit{A. Bove}, in: Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. 21--29 (1995; Zbl 0838.35068) OpenURL
Saut, Jean-Claude Recent results on the generalized Kadomtsev-Petviashvili equations. (English) Zbl 0839.35121 Acta Appl. Math. 39, No. 1-3, 477-487 (1995). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 35Q53 37J35 37K10 35A07 35-02 PDF BibTeX XML Cite \textit{J.-C. Saut}, Acta Appl. Math. 39, No. 1--3, 477--487 (1995; Zbl 0839.35121) Full Text: DOI OpenURL
de Laubenfels, Ralph Entire vectors and entire existence families. (English) Zbl 0828.34052 McBride, A. C. (ed.) et al., Recent developments in evolution equations. Proceedings of a meeting held at the University of Strathclyde, UK, 25-29 July, 1994. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 324, 100-108 (1995). Reviewer: R.Nagel (Tübingen) MSC: 34G20 PDF BibTeX XML Cite \textit{R. de Laubenfels}, in: Recent developments in evolution equations. Proceedings of a meeting held at the University of Strathclyde, UK, 25-29 July, 1994. Harlow: Longman Scientific \& Technical; New York, NY: Wiley. 100--108 (1995; Zbl 0828.34052) OpenURL
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 PDF BibTeX XML Cite \textit{K. Kajitani} et al., Duke Math. J. 75, No. 2, 353--408 (1994; Zbl 0826.35066) Full Text: DOI OpenURL
Doi, Shin-ichi On the Cauchy problem for Schrödinger type equations and the regularity of solutions. (English) Zbl 0807.35026 J. Math. Kyoto Univ. 34, No. 2, 319-328 (1994). MSC: 35J10 35Q40 35B65 PDF BibTeX XML Cite \textit{S.-i. Doi}, J. Math. Kyoto Univ. 34, No. 2, 319--328 (1994; Zbl 0807.35026) Full Text: DOI OpenURL
Amadori, D.; Parenti, C. A class of hyperbolic operators with double characteristics. (English) Zbl 0815.35135 Commun. Partial Differ. Equations 19, No. 7-8, 1185-1201 (1994). Reviewer: K.Taniguchi (Osaka) MSC: 35S05 58J45 47F05 PDF BibTeX XML Cite \textit{D. Amadori} and \textit{C. Parenti}, Commun. Partial Differ. Equations 19, No. 7--8, 1185--1201 (1994; Zbl 0815.35135) Full Text: DOI OpenURL
Matsumoto, Waichiro Normal form of systems of partial differential and pseudo-differential operators in formal symbol classes. (English) Zbl 0844.35147 J. Math. Kyoto Univ. 34, No. 1, 15-40 (1994). Reviewer: V.Iftimie (Bucureşti) MSC: 35S10 47G30 PDF BibTeX XML Cite \textit{W. Matsumoto}, J. Math. Kyoto Univ. 34, No. 1, 15--40 (1994; Zbl 0844.35147) Full Text: DOI OpenURL
Iwasaki, Nobuhisa Bicharacteristic curves and wellposedness for hyperbolic equations with non-involutive multiple characteristics. (English) Zbl 0829.35071 J. Math. Kyoto Univ. 34, No. 1, 41-46 (1994). MSC: 35L25 35S10 PDF BibTeX XML Cite \textit{N. Iwasaki}, J. Math. Kyoto Univ. 34, No. 1, 41--46 (1994; Zbl 0829.35071) Full Text: DOI OpenURL
Kreiss, Heinz-Otto Difference methods for time-dependent partial differential equations. (English) Zbl 0807.65094 Sirovich, Lawrence (ed.), Trends and perspectives in applied mathematics. New York: Springer-Verlag. Appl. Math. Sci. 100, 209-238 (1994). Reviewer: J.Vaníček (Praha) MSC: 65M06 65M12 65M50 35K15 35L15 PDF BibTeX XML Cite \textit{H.-O. Kreiss}, Appl. Math. Sci. 100, 209--238 (1994; Zbl 0807.65094) OpenURL
Yagdjian, Karen Necessary conditions for the correctness of the Cauchy problem for operators with multiple characteristics. (English) Zbl 0799.35162 Commun. Partial Differ. Equations 19, No. 1-2, 1-25 (1994). Reviewer: S.A.Spagnolo (Pisa) MSC: 35L80 35L70 35L15 PDF BibTeX XML Cite \textit{K. Yagdjian}, Commun. Partial Differ. Equations 19, No. 1--2, 1--25 (1994; Zbl 0799.35162) Full Text: DOI OpenURL
Teshukov, V. M. Long waves in an eddying barotropic liquid. (English. Russian original) Zbl 0999.76520 Prikl. Mekh. Tekh. Fiz. 35, No. 6, 17-26 (1994); translation in J. Appl. Mech. Tech. Phys. 35, No. 6, 823-831 (1994). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 76B47 PDF BibTeX XML Cite \textit{V. M. Teshukov}, Prikl. Mekh. Tekh. Fiz. 35, No. 6, 17--26 (1994; Zbl 0999.76520); translation in J. Appl. Mech. Tech. Phys. 35, No. 6, 823--831 (1994) OpenURL
Agliardi, Rossella A generalization of an example by V. Ya. Ivrii. (English) Zbl 0841.35136 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 39, 93-109 (1993). Reviewer: L.Rodino (Torino) MSC: 35S05 PDF BibTeX XML Cite \textit{R. Agliardi}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 39, 93--109 (1993; Zbl 0841.35136) OpenURL
Nishitani, Tatsuo Hyperbolicity of localizations. (English) Zbl 0802.35022 Ark. Mat. 31, No. 2, 377-393 (1993). Reviewer: A.Bove (Bologna) MSC: 35G10 35A05 PDF BibTeX XML Cite \textit{T. Nishitani}, Ark. Mat. 31, No. 2, 377--393 (1993; Zbl 0802.35022) Full Text: DOI OpenURL
Constantin, P.; Pugh, M. Global solutions for small data to the Hele-Shaw problem. (English) Zbl 0808.35104 Nonlinearity 6, No. 3, 393-415 (1993). MSC: 35Q35 35K55 35R35 76D99 PDF BibTeX XML Cite \textit{P. Constantin} and \textit{M. Pugh}, Nonlinearity 6, No. 3, 393--415 (1993; Zbl 0808.35104) Full Text: DOI Link OpenURL
Sordoni, V. Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity. (English) Zbl 0815.35064 Rend. Semin. Mat. Univ. Padova 88, 263-280 (1992). MSC: 35L30 35G10 PDF BibTeX XML Cite \textit{V. Sordoni}, Rend. Semin. Mat. Univ. Padova 88, 263--280 (1992; Zbl 0815.35064) Full Text: Numdam EuDML OpenURL
Yamazaki, Masao The essential self-adjointness of pseudodifferential operators associated with non-elliptic Weyl symbols with large potentials. (English) Zbl 0770.35081 Osaka J. Math. 29, No. 2, 175-202 (1992). Reviewer: T.Ichinose (Kanazawa) MSC: 35S10 47G30 PDF BibTeX XML Cite \textit{M. Yamazaki}, Osaka J. Math. 29, No. 2, 175--202 (1992; Zbl 0770.35081) OpenURL
Oganesyan, G. R. Uniqueness of solution of the Cauchy weight problem and a new energy formula. (English. Russian original) Zbl 0823.35032 J. Contemp. Math. Anal., Armen. Acad. Sci. 26, No. 5, 15-25 (1991); translation from Izv. Akad. Nauk Armen., Mat. 26, No. 5, 376-386 (1991). MSC: 35G10 35A07 PDF BibTeX XML Cite \textit{G. R. Oganesyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 26, No. 5, 1 (1991; Zbl 0823.35032); translation from Izv. Akad. Nauk Armen., Mat. 26, No. 5, 376--386 (1991) OpenURL
Starun, I. I. On the general formal solution of a singularly perturbed system. (Russian) Zbl 0803.34052 Shkil’, N. I. (ed.), Functional-differential equations. Collection of scientific works. Kiev: Kievskij Gosudarstvennyj Pedagogicheskij Institut Im. A. M. Gor’kogo. 88-92 (1991). MSC: 34E15 34A30 PDF BibTeX XML Cite \textit{I. I. Starun}, in: Differentsial'no-funktsional'nye uravneniya. Sbornik nauchnykh trudov. Kiev: Kievskij Gosudarstvennyj Pedagogicheskij Institut Im. A. M. Gor'ko\-go. 88--92 (1991; Zbl 0803.34052) OpenURL
Ricceri, Biagio On the well-posedness of the Cauchy problem for a class of linear partial differential equations of infinite order in Banach spaces. (English) Zbl 0810.35169 J. Fac. Sci., Univ. Tokyo, Sect. I A 38, No. 3, 623-640 (1991). Reviewer: S.Wedrychowicz (Rzeszów) MSC: 35R50 PDF BibTeX XML Cite \textit{B. Ricceri}, J. Fac. Sci., Univ. Tokyo, Sect. I A 38, No. 3, 623--640 (1991; Zbl 0810.35169) OpenURL
Mel’nikov, E. V. The closed graph theorem and generalized well-posedness of the abstract Cauchy problem. (English. Russian original) Zbl 0833.46002 Sib. Math. J. 32, No. 2, 333-336 (1991); translation from Sib. Mat. Zh. 32, No. 2(186), 180-183 (1991). MSC: 46A30 47D06 46F10 47A50 PDF BibTeX XML Cite \textit{E. V. Mel'nikov}, Sib. Math. J. 32, No. 2, 333--336 (1991; Zbl 0833.46002); translation from Sib. Mat. Zh. 32, No. 2(186), 180--183 (1991) Full Text: DOI OpenURL
Bernardi, Enrico; Bove, Antonio Propagation of Gevrey singularities for a class of hyperbolic operators with triple characteristics. (Propagation des singularités Gevrey pour des opérateurs hyperboliques à caractéristiques triples.) (French) Zbl 0736.58038 C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 381-383 (1990). MSC: 58J47 35L67 47F05 PDF BibTeX XML Cite \textit{E. Bernardi} and \textit{A. Bove}, C. R. Acad. Sci., Paris, Sér. I 310, No. 6, 381--383 (1990; Zbl 0736.58038) OpenURL
Neubrander, Frank Integrated semigroups and their application to complete second order Cauchy problems. (English) Zbl 0686.47038 Semigroup Forum 38, No. 2, 233-251 (1989). Reviewer: J.de Graaf MSC: 47D03 47E05 34G10 PDF BibTeX XML Cite \textit{F. Neubrander}, Semigroup Forum 38, No. 2, 233--251 (1989; Zbl 0686.47038) Full Text: DOI EuDML OpenURL
Mel’nikova, I. V.; Filinkov, A. I. The connection between well-posedness of the Cauchy problem for an equation and for a system in a Banach space. (English. Russian original) Zbl 0669.34061 Sov. Math., Dokl. 37, 647-651 (1988); translation from Dokl. Akad. Nauk SSSR 300, No. 2, 280-284 (1988). Reviewer: N.L.Maria MSC: 34G10 34A12 34A30 35R25 47D03 PDF BibTeX XML Cite \textit{I. V. Mel'nikova} and \textit{A. I. Filinkov}, Sov. Math., Dokl. 37, 647--651 (1988; Zbl 0669.34061); translation from Dokl. Akad. Nauk SSSR 300, No. 2, 280--284 (1988) OpenURL
Sviridyuk, G. A. On solvability of the Cauchy problem for an operator equation for the S. L. Sobolev type. (Russian) Zbl 0694.47034 Approximation of functions by special classes of operators, Interuniv. Collect. Sci. Works, 162-170 (1987). Reviewer: V.Ivrii MSC: 47E05 46E35 47F05 PDF BibTeX XML OpenURL
Gil’, M. I. Conditions for the uniform well-posedness of the Cauchy problem for an equation with variable operator in a Hilbert space. (English. Russian original) Zbl 0639.47036 Sib. Math. J. 28, No. 1-2, 216-220 (1987); translation from Sib. Mat. Zh. 28, No. 2(162), 50-54 (1987). Reviewer: O.John MSC: 47D03 34K30 34G10 47E05 PDF BibTeX XML Cite \textit{M. I. Gil'}, Sib. Math. J. 28, No. 1--2, 216--220 (1987; Zbl 0639.47036); translation from Sib. Mat. Zh. 28, No. 2(162), 50--54 (1987) Full Text: DOI OpenURL
Khrennikov, A. Yu. Differential equations in locally convex spaces and evolution pseudodifferential equations. (English. Russian original) Zbl 0658.47045 Differ. Equations 22, 1116-1122 (1986); translation from Differ. Uravn. 22, No. 9, 1596-1603 (1986). MSC: 47D99 47D03 47Gxx 46F10 PDF BibTeX XML Cite \textit{A. Yu. Khrennikov}, Differ. Equations 22, 1116--1122 (1986; Zbl 0658.47045); translation from Differ. Uravn. 22, No. 9, 1596--1603 (1986) OpenURL
Khrennikov, A. Yu. Differential equations in locally convex spaces and evolution pseudo- differential equations. (Russian) Zbl 0632.47037 Differ. Uravn. 22, No. 9, 1596-1603 (1986). Reviewer: J.de Graaf MSC: 47D99 47D03 46F10 47Gxx PDF BibTeX XML Cite \textit{A. Yu. Khrennikov}, Differ. Uravn. 22, No. 9, 1596--1603 (1986; Zbl 0632.47037) OpenURL
Zak, M. Mathematical model of wrinkling phenomenon in structures. (English) Zbl 0551.73050 Mathematical modelling in science and technology, 4th int. Conf., Zürich/Switz. 1983, 573-578 (1984). MSC: 74G99 74H99 35R25 74R99 74B99 PDF BibTeX XML OpenURL
Melrose, Richard The Cauchy problem for effectively hyperbolic operators. (English) Zbl 0544.35094 Hokkaido Math. J. 12, 371-391 (1983). Reviewer: G.Gussi MSC: 35S10 35L99 35B45 PDF BibTeX XML Cite \textit{R. Melrose}, Hokkaido Math. J. 12, 371--391 (1983; Zbl 0544.35094) Full Text: DOI OpenURL
Nachman, Adrian I. The wave equation on the Heisenberg group. (English) Zbl 0524.35065 Commun. Partial Differ. Equations 7, 675-714 (1982). MSC: 35L05 35N15 35A08 35C15 22E70 35L15 PDF BibTeX XML Cite \textit{A. I. Nachman}, Commun. Partial Differ. Equations 7, 675--714 (1982; Zbl 0524.35065) Full Text: DOI OpenURL
Matsumoto, Waichiro Sur l’espace de données admissibles dans le problème de Cauchy. (French) Zbl 0476.35052 C. R. Acad. Sci., Paris, Sér. I 292, 621-623 (1981). MSC: 35L45 35B30 35A30 PDF BibTeX XML Cite \textit{W. Matsumoto}, C. R. Acad. Sci., Paris, Sér. I 292, 621--623 (1981; Zbl 0476.35052) OpenURL
Matsumoto, Waichiro On the conditions for the hyperbolicity of systems with double characteristic roots. I. (English) Zbl 0471.35052 J. Math. Kyoto Univ. 21, 47-84 (1981). MSC: 35L45 35B30 35A30 PDF BibTeX XML Cite \textit{W. Matsumoto}, J. Math. Kyoto Univ. 21, 47--84 (1981; Zbl 0471.35052) Full Text: DOI OpenURL
Rzepecki, Bogdan Some fixed point theorems and its applications to integral-differential equations. (English) Zbl 0445.45020 Demonstr. Math. 13, 633-640 (1980). MSC: 45N05 45J05 47H10 45G10 PDF BibTeX XML Cite \textit{B. Rzepecki}, Demonstr. Math. 13, 633--640 (1980; Zbl 0445.45020) OpenURL
Imai, Masato Cauchy problems for the operator of Tricomi’s type. (English) Zbl 0415.35058 Hokkaido Math. J. 8, 126-143 (1979). MSC: 35M99 35L10 PDF BibTeX XML Cite \textit{M. Imai}, Hokkaido Math. J. 8, 126--143 (1979; Zbl 0415.35058) Full Text: DOI OpenURL
Nishitani, Tatsuo On the Cauchy problem for weakly hyperbolic equations. (English) Zbl 0405.35050 Commun. Partial Differ. Equations 3, 319-333 (1978). MSC: 35L30 35A05 35B45 35D05 PDF BibTeX XML Cite \textit{T. Nishitani}, Commun. Partial Differ. Equations 3, 319--333 (1978; Zbl 0405.35050) Full Text: DOI OpenURL