Galimberti, Luca; Karlsen, Kenneth H. Well-posedness of stochastic continuity equations on Riemannian manifolds. (English) Zbl 07804890 Chin. Ann. Math., Ser. B 45, No. 1, 81-122 (2024). MSC: 60H15 35L02 58J45 35D30 PDFBibTeX XMLCite \textit{L. Galimberti} and \textit{K. H. Karlsen}, Chin. Ann. Math., Ser. B 45, No. 1, 81--122 (2024; Zbl 07804890) Full Text: DOI arXiv
Karlsen, Kenneth H.; Kunzinger, Michael; Mitrovic, Darko A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem. (English) Zbl 07785443 Trans. Am. Math. Soc. 377, No. 1, 85-166 (2024). MSC: 60H15 58J65 35L02 35K70 42B37 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Trans. Am. Math. Soc. 377, No. 1, 85--166 (2024; Zbl 07785443) Full Text: DOI arXiv
Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas Shape analysis via gradient flows on diffeomorphism groups. (English) Zbl 07641222 Nonlinearity 36, No. 2, 862-877 (2023). MSC: 53Exx 58D05 35F25 68U10 PDFBibTeX XMLCite \textit{T. Balehowsky} et al., Nonlinearity 36, No. 2, 862--877 (2023; Zbl 07641222) Full Text: DOI arXiv
Castro Díaz, Manuel J. (ed.); Després, Bruno (ed.); Dumbser, Michael (ed.); Klingenberg, Christian (ed.) Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10–16, 2022. (English) Zbl 1519.00016 Oberwolfach Rep. 19, No. 2, 979-1037 (2022). MSC: 00B05 00B25 35-06 35L45 35L65 58J45 65M06 65M08 65M12 65M25 65M60 74C20 76W05 76M12 78M10 78M12 83C05 83C22 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} (ed.) et al., Oberwolfach Rep. 19, No. 2, 979--1037 (2022; Zbl 1519.00016) Full Text: DOI
Esteve-Yagüe, Carlos; Zuazua, Enrique Differentiability with respect to the initial condition for Hamilton-Jacobi equations. (English) Zbl 1498.35168 SIAM J. Math. Anal. 54, No. 5, 5388-5423 (2022). MSC: 35F21 35F25 35D40 35B30 35R30 49K20 35Q49 58C20 PDFBibTeX XMLCite \textit{C. Esteve-Yagüe} and \textit{E. Zuazua}, SIAM J. Math. Anal. 54, No. 5, 5388--5423 (2022; Zbl 1498.35168) Full Text: DOI arXiv
Brasco, Lorenzo; De Philippis, Guido; Franzina, Giovanni Positive solutions to the sublinear Lane-Emden equation are isolated. (English) Zbl 1482.35150 Commun. Partial Differ. Equations 46, No. 10, 1940-1972 (2021). Reviewer: Vladimir Bobkov (Ufa) MSC: 35P30 35B38 35J25 35J61 35R09 49R05 58E05 PDFBibTeX XMLCite \textit{L. Brasco} et al., Commun. Partial Differ. Equations 46, No. 10, 1940--1972 (2021; Zbl 1482.35150) Full Text: DOI arXiv
Galimberti, Luca; Karlsen, Kenneth H. Renormalization of stochastic continuity equations on Riemannian manifolds. (English) Zbl 1483.58009 Stochastic Processes Appl. 142, 195-244 (2021). Reviewer: Athanasios Yannacopoulos (Athína) MSC: 58J65 60H15 35F10 58J45 35D30 PDFBibTeX XMLCite \textit{L. Galimberti} and \textit{K. H. Karlsen}, Stochastic Processes Appl. 142, 195--244 (2021; Zbl 1483.58009) Full Text: DOI arXiv
Takahashi, Masatomo; Yu, Haiou Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations. (English) Zbl 1478.58013 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1515-1542 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 58K05 57R45 53A05 53A55 35F25 35F55 PDFBibTeX XMLCite \textit{M. Takahashi} and \textit{H. Yu}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1515--1542 (2021; Zbl 1478.58013) Full Text: DOI
Molica Bisci, Giovanni; Pucci, Patrizia Nonlinear problems with lack of compactness. (English) Zbl 1472.35005 De Gruyter Series in Nonlinear Analysis and Applications 36. Berlin: De Gruyter (ISBN 978-3-11-064886-7/hbk; 978-3-11-065201-7/ebook). xxiii, 263 p. (2021). Reviewer: Mohsen Timoumi (Monastir) MSC: 35-02 58-02 35A15 35B65 35D30 35F20 35J35 35J50 35J60 35J62 35J92 58E30 58E50 35B38 35B06 PDFBibTeX XMLCite \textit{G. Molica Bisci} and \textit{P. Pucci}, Nonlinear problems with lack of compactness. Berlin: De Gruyter (2021; Zbl 1472.35005) Full Text: DOI
Avetisyan, Zhirayr; Sjöstrand, Johannes; Vassiliev, Dmitri The second Weyl coefficient for a first order system. (English) Zbl 1445.35270 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 120-153 (2020). MSC: 35P20 35J46 35R01 35S05 58J05 PDFBibTeX XMLCite \textit{Z. Avetisyan} et al., Oper. Theory: Adv. Appl. 276, 120--153 (2020; Zbl 1445.35270) Full Text: DOI arXiv
Challapa, Lizandro Sanchez Invariants of first order partial differential equations. (English) Zbl 1431.34014 Bol. Soc. Parana. Mat. (3) 38, No. 2, 135-147 (2020). MSC: 34A09 34A26 58K05 PDFBibTeX XMLCite \textit{L. S. Challapa}, Bol. Soc. Parana. Mat. (3) 38, No. 2, 135--147 (2020; Zbl 1431.34014) Full Text: Link
Gérard, Christian Microlocal analysis of quantum fields on curved spacetimes. (English) Zbl 1444.35008 ESI Lectures in Mathematics and Physics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-03719-094-4/pbk). viii, 220 p. (2019). MSC: 35-02 35A27 58J40 58J45 35L15 35L45 46Lxx 53C50 81T13 81T28 PDFBibTeX XMLCite \textit{C. Gérard}, Microlocal analysis of quantum fields on curved spacetimes. Berlin: European Mathematical Society (EMS) (2019; Zbl 1444.35008) Full Text: DOI arXiv
Wang, Xia; Chen, Yuming; Liu, Shengqiang Global dynamics of a vector-borne disease model with infection ages and general incidence rates. (English) Zbl 1404.35463 Comput. Appl. Math. 37, No. 4, 4055-4080 (2018). MSC: 35Q92 35E99 58J32 45J05 92C60 35L03 35B35 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Appl. Math. 37, No. 4, 4055--4080 (2018; Zbl 1404.35463) Full Text: DOI
Li, Dongsheng; Li, Zhenjie A radial symmetry and Liouville theorem for systems involving fractional Laplacian. (English) Zbl 1380.35039 Front. Math. China 12, No. 2, 389-402 (2017). MSC: 35B53 35A01 35J46 35S05 47G30 58J70 35R11 PDFBibTeX XMLCite \textit{D. Li} and \textit{Z. Li}, Front. Math. China 12, No. 2, 389--402 (2017; Zbl 1380.35039) Full Text: DOI
Dacorogna, Bernard The pullback equation. (English) Zbl 1382.35078 Marcellini, Paolo (ed.) et al., Vector-valued partial differential equations and applications. Cetraro, Italy, July 8–12, 2013. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-54513-4/pbk; 978-3-319-54514-1/ebook). Lecture Notes in Mathematics 2179. CIME Foundation Subseries, 1-72 (2017). MSC: 35F50 35-02 58A10 PDFBibTeX XMLCite \textit{B. Dacorogna}, Lect. Notes Math. 2179, 1--72 (2017; Zbl 1382.35078) Full Text: DOI
Helminck, Gerard Strict versions of various matrix hierarchies related to SL(n)-loops and their combinations. arXiv:1711.02558 Preprint, arXiv:1711.02558 [math-ph] (2017). MSC: 22E65 34A34 35F99 35Q53 37K10 37K30 58B25 BibTeX Cite \textit{G. Helminck}, ``Strict versions of various matrix hierarchies related to SL(n)-loops and their combinations'', Preprint, arXiv:1711.02558 [math-ph] (2017) Full Text: arXiv OA License
Buono, P.-L.; Eftimie, R. Analysis of Hopf/Hopf bifurcations in nonlocal hyperbolic models for self-organised aggregations. (English) Zbl 1282.35041 Math. Models Methods Appl. Sci. 24, No. 2, 327-357 (2014). MSC: 35B32 35L60 92D40 35L50 58E09 35R09 35B36 PDFBibTeX XMLCite \textit{P. L. Buono} and \textit{R. Eftimie}, Math. Models Methods Appl. Sci. 24, No. 2, 327--357 (2014; Zbl 1282.35041) Full Text: DOI
Bergamasco, A. P.; Mendoza, G. A.; Zani, S. On global hypoellipticity. (English) Zbl 1387.58037 Commun. Partial Differ. Equations 37, No. 9, 1517-1527 (2012). MSC: 58J99 35H10 35B65 35F05 57R22 PDFBibTeX XMLCite \textit{A. P. Bergamasco} et al., Commun. Partial Differ. Equations 37, No. 9, 1517--1527 (2012; Zbl 1387.58037) Full Text: DOI
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier The pullback equation for differential forms. (English) Zbl 1247.58003 Progress in Nonlinear Differential Equations and Their Applications 83. Basel: Birkhäuser (ISBN 978-0-8176-8312-2/hbk; 978-0-8176-8313-9/ebook). xi, 436 p. (2012). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58A10 15A75 35Fxx 58Axx PDFBibTeX XMLCite \textit{G. Csató} et al., The pullback equation for differential forms. Basel: Birkhäuser (2012; Zbl 1247.58003) Full Text: DOI
Mardare, Sorin An overview of recent results on first-order PDE systems. (Un survol des résultats récents sur les systèmes d’EDP de premier ordre.) (French) Zbl 1310.35003 Dogbe, Christian (ed.) et al., Actes des colloques “EDP-Normandie”, Caen 2010 – Rouen 2011. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-0-6/pbk). Normandie-Mathématiques, 157-162 (2010). MSC: 35-02 35F40 58A17 53C42 PDFBibTeX XMLCite \textit{S. Mardare}, in: Actes des colloques ``EDP-Normandie'', Caen 2010 -- Rouen 2011. [s.l.]: Fédération Normandie-Mathématiques. 157--162 (2010; Zbl 1310.35003)
Mikeš, Josef; Kiosak, Volodymyr; Vanžurová, Alena Geodesic mappings of manifolds with affine connection. (English) Zbl 1176.53004 Olomouc: Palacký University, Faculty of Science (ISBN 978-80-244-2168-1/pbk). 220 p. (2008). Reviewer: Jan Kurek (Lublin) MSC: 53-02 53B05 53B20 53B21 53B25 53B30 53B35 53A45 53C22 53C24 53C25 53C50 51H25 58B20 58J32 35F99 35N99 35R99 PDFBibTeX XMLCite \textit{J. Mikeš} et al., Geodesic mappings of manifolds with affine connection. Olomouc: Palacký University, Faculty of Science (2008; Zbl 1176.53004)
Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. (English) Zbl 1155.65061 SIAM Rev. 50, No. 4, 723-752 (2008). MSC: 65M06 65M50 65Y15 35L60 58J45 35-04 PDFBibTeX XMLCite \textit{D. A. Calhoun} et al., SIAM Rev. 50, No. 4, 723--752 (2008; Zbl 1155.65061) Full Text: DOI Link
Bernard, Patrick Existence of \(C^{1,1}\) critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds. (English. French summary) Zbl 1133.35027 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 3, 445-452 (2007). MSC: 35F25 58J99 49L99 35D05 PDFBibTeX XMLCite \textit{P. Bernard}, Ann. Sci. Éc. Norm. Supér. (4) 40, No. 3, 445--452 (2007; Zbl 1133.35027) Full Text: DOI arXiv Numdam EuDML
Fesser, Dirk; Seiler, Werner M. Vessiot connections of partial differential equations. (English) Zbl 1191.35003 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 111-134 (2006). Reviewer: Peter Zabreiko (Minsk) MSC: 35-02 35A20 58A20 35R01 58A30 35F05 35F20 PDFBibTeX XMLCite \textit{D. Fesser} and \textit{W. M. Seiler}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 111--134 (2006; Zbl 1191.35003) Full Text: Link
Babin, A.; Figotin, A. Linear superposition in nonlinear wave dynamics. (English) Zbl 1120.82010 Rev. Math. Phys. 18, No. 9, 971-1053 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 35L60 58C15 47J07 35Q53 34C15 37K60 35Q51 35Q60 39A12 PDFBibTeX XMLCite \textit{A. Babin} and \textit{A. Figotin}, Rev. Math. Phys. 18, No. 9, 971--1053 (2006; Zbl 1120.82010) Full Text: DOI arXiv
Zheng, Songmu Nonlinear evolution equations. (English) Zbl 1085.47058 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 133. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-452-5/hbk). xiv, 287 p. (2004). Reviewer: Alexander G. Ramm (Manhattan) MSC: 47J35 47N20 47J25 35J65 35F25 35G25 35K90 35L90 35B40 58D25 37L05 37L30 47-01 35-01 PDFBibTeX XMLCite \textit{S. Zheng}, Nonlinear evolution equations. Boca Raton, FL: Chapman \& Hall/CRC (2004; Zbl 1085.47058)
Alonso-Blanco, R. J. The equations determining intermediate integrals for Monge-Ampère PDE. (English) Zbl 1052.35010 Proc. Am. Math. Soc. 132, No. 8, 2357-2360 (2004). Reviewer: Jan Chrastina (Brno) MSC: 35A30 58A15 35J60 PDFBibTeX XMLCite \textit{R. J. Alonso-Blanco}, Proc. Am. Math. Soc. 132, No. 8, 2357--2360 (2004; Zbl 1052.35010) Full Text: DOI
van Brunt, B.; Pidgeon, D.; Vlieg-Hulstman, M.; Halford, W. D. Conservation laws for second-order parabolic partial differential equations. (English) Zbl 1060.35007 ANZIAM J. 45, No. 3, 333-348 (2004). Reviewer: F. M. Mahomed (Johannesburg) MSC: 35A30 35K55 70S10 58J70 PDFBibTeX XMLCite \textit{B. van Brunt} et al., ANZIAM J. 45, No. 3, 333--348 (2004; Zbl 1060.35007) Full Text: DOI
Izobov, N.; Krupchik, E. The construction of the linear Pfaff system with the arbitrarily given boundary degree sets. (English) Zbl 1052.58003 Mem. Differ. Equ. Math. Phys. 28, 152-158 (2003). Reviewer: Jan Chrastina (Brno) MSC: 58A17 35F99 PDFBibTeX XMLCite \textit{N. Izobov} and \textit{E. Krupchik}, Mem. Differ. Equ. Math. Phys. 28, 152--158 (2003; Zbl 1052.58003)
Kamran, Niky Selected topics in the geometrical study of differential equations. (English) Zbl 1134.58001 CBMS Regional Conference Series in Mathematics 96. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2639-5/pbk). xi, 115 p. (2002). MSC: 58-02 35-02 58A20 58J70 58J72 58J10 58E30 58E40 35L65 35L60 PDFBibTeX XMLCite \textit{N. Kamran}, Selected topics in the geometrical study of differential equations. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1134.58001)
Izumiya, Shyuichi Singularities of solutions for nonlinear first order partial differential equations. (English. Japanese original) Zbl 1246.35065 Sugaku Expo. 15, No. 2, 189-206 (2002); translation from Sūgaku 52, No. 1, 16-30 (2000). Reviewer: Olaf Ninnemann (Berlin) MSC: 35F25 35-02 35A21 58K20 PDFBibTeX XMLCite \textit{S. Izumiya}, Sūgaku 52, No. 1, 16--30 (2000; Zbl 1246.35065); translation from Sūgaku 52, No. 1, 16--30 (2000)
Poppenberg, Markus On the Cauchy problem for nonlinear evolution equations and regularity of solutions. (English) Zbl 0965.35023 Note Mat. 17, 13-28 (1997). MSC: 35F25 58C15 34G20 35Q55 PDFBibTeX XMLCite \textit{M. Poppenberg}, Note Mat. 17, 13--28 (1997; Zbl 0965.35023)
Barbu, Viorel; Iannelli, Mimmo The semigroup approach to nonlinear age-structured equations. (English) Zbl 0967.35003 Rend. Ist. Mat. Univ. Trieste 28, Suppl., 59-71 (1996). MSC: 35A05 34G20 45K05 47H20 58D25 92D25 PDFBibTeX XMLCite \textit{V. Barbu} and \textit{M. Iannelli}, Rend. Ist. Mat. Univ. Trieste 28, 59--71 (1996; Zbl 0967.35003)
Rosinger, Elemér E.; Walus, Yvonne E. Group invariance of generalized solutions obtained through the algebraic method. (English) Zbl 0803.35005 Nonlinearity 7, No. 3, 837-859 (1994). MSC: 35A30 58J70 35D99 35F20 PDFBibTeX XMLCite \textit{E. E. Rosinger} and \textit{Y. E. Walus}, Nonlinearity 7, No. 3, 837--859 (1994; Zbl 0803.35005) Full Text: DOI
Kara, A. H.; Mahomed, F. M.; Adam, A. A. Reduction of differential equations using Lie and Noether symmetries associated with first integrals. (English) Zbl 0938.35505 Lie Groups Appl. 1, No. 1, 137-145 (1994). MSC: 35A30 58J70 PDFBibTeX XMLCite \textit{A. H. Kara} et al., Lie Groups Appl. 1, No. 1, 137--145 (1994; Zbl 0938.35505)
Myasnichenko, O. M. Singularities of wave fronts on the interface between two media. (English. Russian original) Zbl 0822.58007 St. Petersbg. Math. J. 5, No. 4, 789-807 (1994); translation from Algebra Anal. 5, No. 4, 149-169 (1993). MSC: 58C25 58K99 37G05 37J99 PDFBibTeX XMLCite \textit{O. M. Myasnichenko}, St. Petersbg. Math. J. 5, No. 4, 149--169 (1993; Zbl 0822.58007); translation from Algebra Anal. 5, No. 4, 149--169 (1993)
Kinjo, Yoshiyuki A note on partial differential equations and a distribution on manifolds. (English) Zbl 0823.58005 Ryukyu Math. J. 6, 1-7 (1993). MSC: 58A30 35F99 PDFBibTeX XMLCite \textit{Y. Kinjo}, Ryukyu Math. J. 6, 1--7 (1993; Zbl 0823.58005)
Myasnichenko, O. M. Singularities of wave fronts on the border of two media. (Russian) Zbl 0799.58011 Algebra Anal. 5, No. 4, 149-169 (1993). Reviewer: E.Gomozov (Khar’kov) MSC: 58C25 58K99 37G05 37J99 PDFBibTeX XMLCite \textit{O. M. Myasnichenko}, Algebra Anal. 5, No. 4, 149--169 (1993; Zbl 0799.58011)
Treves, F. Hypo-analytic structures: local theory. (English) Zbl 0787.35003 Princeton Mathematical Series 40. Princeton, NJ: Princeton University Press (ISBN 0-691-08744-X). xvii, 497 p. (1992). Reviewer: G.Gussi (Bucureşti) MSC: 35-02 35F05 32V05 35N99 58J10 35A20 35F20 32W05 35N15 32-02 58J60 PDFBibTeX XMLCite \textit{F. Treves}, Hypo-analytic structures: local theory. Princeton, NJ: Princeton University Press (1992; Zbl 0787.35003)
Kinjo, Yoshiyuki The expression of an integral manifold of a \(C^ \infty\) \(k\)-dimensional distribution and its application. (English) Zbl 0778.58004 Ryukyu Math. J. 5, 13-32 (1992). Reviewer: C.Udrişte (Bucureşti) MSC: 58A30 35F99 PDFBibTeX XMLCite \textit{Y. Kinjo}, Ryukyu Math. J. 5, 13--32 (1992; Zbl 0778.58004)
Delanoë, Philippe Addendum to: Viscosity solutions of eikonal and Lie equations on compact manifolds. (English) Zbl 0760.58048 Ann. Global Anal. Geom. 10, No. 3, 305 (1992). MSC: 58J60 35F20 35D05 PDFBibTeX XMLCite \textit{P. Delanoë}, Ann. Global Anal. Geom. 10, No. 3, 305 (1992; Zbl 0760.58048) Full Text: DOI
Miyadera, Isao Nonlinear semigroups. Translated from the Japanese by Choong Yun Cho. (English) Zbl 0766.47039 Translations of Mathematical Monographs. 109. Providence, RI: American Mathematical Society (AMS). viii, 230 p. (1992). Reviewer: A.Cañada (Granada) MSC: 47H20 47H06 47-02 47N20 47F05 58D07 PDFBibTeX XMLCite \textit{I. Miyadera}, Nonlinear semigroups. Translated from the Japanese by Choong Yun Cho. Providence, RI: American Mathematical Society (1992; Zbl 0766.47039)
Rybakowski, Krzysztof P. Formulas for higher-order Fréchet derivatives of composite maps, implicitly defined maps and solutions of differential equations. (English) Zbl 0760.46037 Nonlinear Anal., Theory Methods Appl. 16, No. 6, 517-532 (1991). Reviewer: A.Kriegl (Wien) MSC: 46G05 58C20 PDFBibTeX XMLCite \textit{K. P. Rybakowski}, Nonlinear Anal., Theory Methods Appl. 16, No. 6, 517--532 (1991; Zbl 0760.46037) Full Text: DOI
Iordanov, Iordan V. Anomalous singularities of semilinear non strictly hyperbolic systems. (English) Zbl 0688.35053 J. Math. Pures Appl., IX. Sér. 70, No. 4, 393-426 (1991); corrigendum ibid. 83, No. 6, 803-809 (2004). Reviewer: I.V.Iordanov MSC: 35L60 35L80 35B99 35R05 58J47 PDFBibTeX XMLCite \textit{I. V. Iordanov}, J. Math. Pures Appl. (9) 70, No. 4, 393--426 (1991; Zbl 0688.35053)
Landis, E. E. Light elements in space-time, passing through a hypersurface in configuration space. (English. Russian original) Zbl 0693.35029 Sel. Math. Sov. 8, No. 4, 341-349 (1989); translation from Tr. Semin. Vektorn. Tenzorn. Anal. Prilozh. Geom. Mekh. Fiz. 22, 60-68 (1985). MSC: 35F10 37J99 35A30 78A99 58J99 PDFBibTeX XMLCite \textit{E. E. Landis}, Sel. Math. Sov. 8, No. 4, 341--349 (1989; Zbl 0693.35029); translation from Tr. Semin. Vektorn. Tenzorn. Anal. Prilozh. Geom. Mekh. Fiz. 22, 60--68 (1985)
Metivier, Guy Propagation, interaction and reflection of discontinuous progressing waves for semilinear hyperbolic systems. (English) Zbl 0687.35021 Am. J. Math. 111, No. 2, 239-287 (1989). Reviewer: M.Tsuji MSC: 35B99 35L60 58J47 35L50 35L67 PDFBibTeX XMLCite \textit{G. Metivier}, Am. J. Math. 111, No. 2, 239--287 (1989; Zbl 0687.35021) Full Text: DOI
Delanoë, Philippe Viscosity solutions of eikonal and Lie equations on compact manifolds. (English) Zbl 0644.58020 Ann. Global Anal. Geom. 7, No. 2, 79-83 (1989). MSC: 58J60 35F20 35D05 PDFBibTeX XMLCite \textit{P. Delanoë}, Ann. Global Anal. Geom. 7, No. 2, 79--83 (1989; Zbl 0644.58020) Full Text: DOI
Pham, Frédéric Résurgence d’un thème de Huygens-Fresnel. (The resurrection of a topic of Huygens-Fresnel). (French) Zbl 0688.35093 Publ. Math., Inst. Hautes Étud. Sci. 68, 77-90 (1988). Reviewer: H.Exton MSC: 35Q99 35F20 58J90 PDFBibTeX XMLCite \textit{F. Pham}, Publ. Math., Inst. Hautes Étud. Sci. 68, 77--90 (1988; Zbl 0688.35093) Full Text: DOI Numdam EuDML
Edelen, Dominic G. B. On solving problems in the mechanics of solids and fluids by a generalized method of characteristics. (English) Zbl 0635.73008 Int. J. Eng. Sci. 26, No. 4, 361-372 (1988). MSC: 74A99 35Q99 35A30 74C99 35A25 58J90 76J20 65M25 PDFBibTeX XMLCite \textit{D. G. B. Edelen}, Int. J. Eng. Sci. 26, No. 4, 361--372 (1988; Zbl 0635.73008) Full Text: DOI
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. (English) Zbl 0702.35002 Contemporary Soviet Mathematics. New York etc.: Consultants Bureau. vi, 313 p. $ 79.50 (1988). MSC: 35-02 35S05 58J40 35C20 35B25 35F10 35A22 42A38 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. New York etc.: Consultants Bureau (1988; Zbl 0702.35002)
Gel’fand, I. M.; Graev, M. I.; Zelevinskij, A. V. Holonomic systems of equations and series of hypergeometric type. (English. Russian original) Zbl 0661.22005 Sov. Math., Dokl. 36, No. 1, 5-10 (1987); translation from Dokl. Akad. Nauk SSSR 295, 14-19 (1987). Reviewer: W.Miller, jun MSC: 22E30 33C60 58J15 43A85 33C80 35F05 32C38 PDFBibTeX XMLCite \textit{I. M. Gel'fand} et al., Sov. Math., Dokl. 36, No. 1, 5--10 (1987; Zbl 0661.22005); translation from Dokl. Akad. Nauk SSSR 295, 14--19 (1987)
Arnol’d, V. I. Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen. Übers. aus dem Russischen von Ernst Günter Gießmann, Bernd Graw und Horst Theel. (Lizenzausg.). (German) Zbl 0624.34002 Basel-Boston: Birkhäuser Verlag. 320 S.; DM 68.00 (1987). MSC: 34-02 34D20 34C25 58-01 34D30 37C75 34C29 PDFBibTeX XML
Moroşanu, Gheorghe Nonlinear evolution equations and applications. (Ecuaţii neliniare de evoluţie şi aplicaţii). With a preface by Viorel Barbu. (Romanian) Zbl 0668.47046 Analiză Modernă şi Aplicaţii. Bucureşti: Editura Academiei Republicii Socialiste România. 208 p.; Lei 17.50 (1986). MSC: 47H20 47-02 47H06 34G20 58D25 PDFBibTeX XML
Landis, E. E. Light elements in space-time passing through a hypersurface in the configuration space. (Russian) Zbl 0609.35016 Tr. Semin. Vektorn. Tenzorn. Anal. Prilozh. Geom. Mekh. Fiz. 22, 60-68 (1985). Reviewer: N.Jacob MSC: 35F10 37J99 35A30 78A99 58J99 PDFBibTeX XMLCite \textit{E. E. Landis}, Tr. Semin. Vektorn. Tenzorn. Anal. 22, 60--68 (1985; Zbl 0609.35016)
Kumpera, Rodrigo On the integration of first-order differential systems. (Sur l’intégration des systèmes différentiels du premier ordre.) (French) Zbl 0601.58006 C. R. Acad. Sci., Paris, Sér. I 301, 589-592 (1985). Reviewer: Jiří Vanžura (Brno) MSC: 58A17 35A30 PDFBibTeX XMLCite \textit{R. Kumpera}, C. R. Acad. Sci., Paris, Sér. I 301, 589--592 (1985; Zbl 0601.58006)
Abrosimov, A. V. Complex differential systems and tangential Cauchy-Riemann equations. (English) Zbl 0599.35008 Math. USSR, Sb. 50, 399-414 (1985). MSC: 35A30 32Q99 58A10 35F05 58J99 PDFBibTeX XMLCite \textit{A. V. Abrosimov}, Math. USSR, Sb. 50, 399--414 (1985; Zbl 0599.35008) Full Text: DOI
De Filippo, S.; Salerno, M.; Vilasi, G. A geometrical approach to the integrability of soliton equations. (English) Zbl 0586.35087 Lett. Math. Phys. 9, 85-91 (1985). MSC: 35Q99 58J50 35G10 35K25 35F20 35A05 PDFBibTeX XMLCite \textit{S. De Filippo} et al., Lett. Math. Phys. 9, 85--91 (1985; Zbl 0586.35087) Full Text: DOI
Dubois-Violette, Michel The theory of overdetermined linear systems and its applications to nonlinear field equations. (English) Zbl 0596.35097 J. Geom. Phys. 1, No. 2, 139-172 (1984). MSC: 35N15 58J99 81T08 35F05 PDFBibTeX XMLCite \textit{M. Dubois-Violette}, J. Geom. Phys. 1, No. 2, 139--172 (1984; Zbl 0596.35097) Full Text: DOI
Leaci, Antonio On generalized solutions of first order partial differential equations. (Italian. English summary) Zbl 0586.35007 Note Mat. 4, 113-148 (1984). MSC: 35D05 35F05 58J32 35Q99 PDFBibTeX XMLCite \textit{A. Leaci}, Note Mat. 4, 113--148 (1984; Zbl 0586.35007)
Trèves, François Hypo-analytic structures. (English) Zbl 0565.35079 Microlocal analysis, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 27, 23-44 (1984). Reviewer: Stanco Dimiev (Sofia) MSC: 35N10 32D15 58J40 58J47 PDFBibTeX XML
Eliashberg, J. Cobordisme des solutions de relations différentielles. (English) Zbl 0542.57024 Géométrie symplectique et de contact, Journ. lyonnaises Soc. math. France 1983. Sémin. sud-rhodanien Géom. I, 17-31 (1984). Reviewer: U.Koschorke MSC: 57R90 57R42 58A20 58J99 57R40 PDFBibTeX XML
Bikchantaev, I. A. On the solutions of an elliptic system of first order differential equations on a Riemann surface. (Russian) Zbl 0511.35065 Mat. Zametki 33, No. 1, 97-110 (1983). MSC: 35N15 30F30 58J10 58J60 PDFBibTeX XMLCite \textit{I. A. Bikchantaev}, Mat. Zametki 33, No. 1, 97--110 (1983; Zbl 0511.35065)
Ivrij, V. Ya. Accurate spectral asymptotics for elliptic operators that act in vector bundles. (English) Zbl 0549.35100 Funct. Anal. Appl. 16, 101-108 (1982). MSC: 35P20 35S05 35J99 58J50 58J40 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Funct. Anal. Appl. 16, 101--108 (1982; Zbl 0549.35100) Full Text: DOI
Covacev, Valery H. Microlocal parametrix for the Cauchy problem for hyperbolic symmetric systems with symplectic multiple characteristics. I. (English) Zbl 0512.35078 Serdica 8, 64-81 (1982). MSC: 35S05 35L45 58J47 58J45 35A30 PDFBibTeX XMLCite \textit{V. H. Covacev}, Serdica 8, 64--81 (1982; Zbl 0512.35078)
Ivrij, V. Ya. On exact spectral asymptotics for elliptic operators operating in fiberings. (Russian) Zbl 0505.35066 Funkts. Anal. Prilozh. 16, No. 2, 30-38 (1982). MSC: 35P20 35S05 35J99 58J50 58J40 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Funkts. Anal. Prilozh. 16, No. 2, 30--38 (1982; Zbl 0505.35066)
van den Essen, A. R. P.; Levelt, A. H. M. Irregular singularities in several variables. (English) Zbl 0496.47043 Mem. Am. Math. Soc. 270, 43 p. (1982). MSC: 47F05 47E05 58A17 PDFBibTeX XMLCite \textit{A. R. P. van den Essen} and \textit{A. H. M. Levelt}, Irregular singularities in several variables. Providence, RI: American Mathematical Society (AMS) (1982; Zbl 0496.47043) Full Text: DOI
Lousberg, P. Singularites dans les problèmes aux limites pour le système de Maxwell. (French) Zbl 0508.35052 Bull. Soc. R. Sci. Liège 50, 47-58 (1981). MSC: 35L67 58J47 78A40 35L40 35L45 35Q99 58J45 58J32 PDFBibTeX XMLCite \textit{P. Lousberg}, Bull. Soc. R. Sci. Liège 50, 47--58 (1981; Zbl 0508.35052)
von Wolfersdorf, Lothar On some optimal control problems for elliptic systems in the plane. (English) Zbl 0469.49014 Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech. 1981, No. 2N, 65-74 (1981). MSC: 49K20 35J65 35Q15 58C20 PDFBibTeX XMLCite \textit{L. von Wolfersdorf}, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech. 1981, No. 2N, 65--74 (1981; Zbl 0469.49014)
Bazley, N. W.; Küpper, T. Bifurcation diagrams and periodic solutions to nonlinear equations. (English) Zbl 0465.35074 Z. Angew. Math. Phys. 32, 470-473 (1981). MSC: 35P30 35B10 47J05 35L05 35R20 35L60 58E07 35B32 PDFBibTeX XMLCite \textit{N. W. Bazley} and \textit{T. Küpper}, Z. Angew. Math. Phys. 32, 470--473 (1981; Zbl 0465.35074) Full Text: DOI
Chazarain, Jacques; Piriou, Alain Introduction à la théorie des équations aux dérivées partielles linéaires. (French) Zbl 0446.35001 Ouvrage publie avec le concours du C.N.R.S. Paris: Gauthier-Villars. VIII, 466 p. (1981). MSC: 35-01 46-01 47-01 35F05 47Gxx 35G05 58J40 35S05 PDFBibTeX XML
Krichever, I. M.; Novikov, S. P. Holomorphic bundles over algebraic curves and nonlinear equations. (English) Zbl 0548.35100 Russ. Math. Surv. 35, No. 6, 53-79 (1980). MSC: 35Q99 35F20 35C05 32C99 58J50 PDFBibTeX XMLCite \textit{I. M. Krichever} and \textit{S. P. Novikov}, Russ. Math. Surv. 35, No. 6, 53--79 (1980; Zbl 0548.35100) Full Text: DOI
Gotovtsev, I. B.; Slukhaev, V. V. Some invariants of systems of quasi-linear partial differential equations. (Russian) Zbl 0523.35074 Geom. Sb. 21, 108-112 (1980). MSC: 35L60 35L40 58A17 35E20 PDFBibTeX XMLCite \textit{I. B. Gotovtsev} and \textit{V. V. Slukhaev}, Geom. Sb. 21, 108--112 (1980; Zbl 0523.35074)
Reyman, A. G.; Semenov-Tian-Shansky, Michael A. A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators. (English) Zbl 0455.58016 Funct. Anal. Appl. 14, 146-148 (1980). MSC: 53D50 58J99 37J99 17B65 22E65 58D15 PDFBibTeX XMLCite \textit{A. G. Reyman} and \textit{M. A. Semenov-Tian-Shansky}, Funct. Anal. Appl. 14, 146--148 (1980; Zbl 0455.58016) Full Text: DOI
Vorob’ev, E. M. Reduktion von Differentialgleichungen mit Symmetrien. (Russian) Zbl 0453.58025 Izv. Akad. Nauk SSSR, Ser. Mat. 44, 805-820 (1980). MSC: 58J99 37J99 PDFBibTeX XMLCite \textit{E. M. Vorob'ev}, Izv. Akad. Nauk SSSR, Ser. Mat. 44, 805--820 (1980; Zbl 0453.58025)
Samborskij, S. N. Cauchy problem for involution systems of partial differential equations. (English) Zbl 0446.35006 Differ. Equations 16, 330-333 (1980). MSC: 35A30 35F99 35R15 58A15 58D25 PDFBibTeX XMLCite \textit{S. N. Samborskij}, Differ. Equations 16, 330--333 (1980; Zbl 0446.35006)
Vasil’ev, A. M. Differential algebra (contravariant analytic methods in differential geometry). (English) Zbl 0445.58001 J. Sov. Math. 14, 1177-1187 (1980). MSC: 58A05 58A20 58A99 58J99 12H05 12H20 PDFBibTeX XMLCite \textit{A. M. Vasil'ev}, J. Sov. Math. 14, 1177--1187 (1980; Zbl 0445.58001) Full Text: DOI
Borowiec, Andrzej The Dirac equation on a Kaluza-Klein bundle. (English) Zbl 0435.53048 Bull. Acad. Pol. Sci., Sér. Sci. Phys. Astron. 27, 133-137 (1980). MSC: 53C80 53B50 35L05 58J99 83E15 PDFBibTeX XMLCite \textit{A. Borowiec}, Bull. Acad. Pol. Sci., Sér. Sci. Phys. Astron. 27, 133--137 (1980; Zbl 0435.53048)
Rand, David On the local stability of wave fronts defined by eikonal equations. (English) Zbl 0429.58017 Proc. R. Soc. Edinb., Sect. A 85, 195-232 (1980). MSC: 58J45 58J99 58C25 58K99 58K35 PDFBibTeX XMLCite \textit{D. Rand}, Proc. R. Soc. Edinb., Sect. A, Math. 85, 195--232 (1980; Zbl 0429.58017) Full Text: DOI
Samborskij, S. N. Über das Cauchyproblem für involutorische Systeme partieller Differentialgleichungen. (Russian) Zbl 0429.35007 Differ. Uravn. 16, 516-521 (1980). MSC: 35A30 35F99 58A15 35R15 58D25 PDFBibTeX XMLCite \textit{S. N. Samborskij}, Differ. Uravn. 16, 516--521 (1980; Zbl 0429.35007)
Wünsch, Volkmar Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen. II. (German) Zbl 0467.35067 Beitr. Anal. 13, 147-177 (1979). MSC: 35L45 53B50 35A30 58B20 83C10 35Q99 PDFBibTeX XMLCite \textit{V. Wünsch}, Beitr. Anal. 13, 147--177 (1979; Zbl 0467.35067)
Boroviec, Andrzej The Dirac equation on a Kaluza-Klein bundle. (English) Zbl 0435.53047 Bull. Acad. Pol. Sci., Sér. Sci. Phys. Astron. 27, 65-69 (1979). MSC: 53C80 53B50 35L05 58J99 83E15 PDFBibTeX XMLCite \textit{A. Boroviec}, Bull. Acad. Pol. Sci., Sér. Sci. Phys. Astron. 27, 65--69 (1979; Zbl 0435.53047)
Bilchev, S. J.; Dochev, D. T. To the geometry of the asymmetric case for hyperbolic systems of two first order partial differential equations by two unknown functions and two independent variables. (Russian) Zbl 0477.58036 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 13(1977), No. 3, 149-165 (1978). MSC: 58J45 58A17 58A15 58A07 PDFBibTeX XMLCite \textit{S. J. Bilchev} and \textit{D. T. Dochev}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 13, No. 3, 149--165 (1978; Zbl 0477.58036)
Wünsch, Volkmar Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinoriellen Feldgleichungen. I. (German) Zbl 0467.35066 Beitr. Anal. 12, 47-76 (1978). MSC: 35L45 53B50 35Q99 58B20 83C10 35A30 PDFBibTeX XMLCite \textit{V. Wünsch}, Beitr. Anal. 12, 47--76 (1978; Zbl 0467.35066)
Bilchev, S. J. Invariant fiberings of the manifold of integral tangent elements for the asymmetric case of hyperbolic systems of first order partial differential equations. (English) Zbl 0449.58024 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 13(1977), No. 4, 189-200 (1978). MSC: 58J70 58J45 58J99 35L40 PDFBibTeX XMLCite \textit{S. J. Bilchev}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 13, No. 4, 189--200 (1978; Zbl 0449.58024)
Velo, Giorgio (ed.); Wightman, Arthur S. (ed.) [Wightman, A. S.; Gårding, Lars; Zwanziger, D.; Seiler, R.; Strauss, W. A.; Parenti, C.; Strocchi, F.; Velo, G.; Gervais, J. L.; Stora, R.; Fröhlich, J.; Ruisenaars, S. W. M.] Invariant wave equations. Proceedings of the ”Ettore Majorana” international school of mathematical physics held in Erice, June 27 to July 9, 1977. (English) Zbl 0435.35001 Lecture Notes in Physics. 73. Berlin-Heidelberg-New York: Springer- Verlag. 416 p. DM 37.00; $ 18.50 (1978). MSC: 35-02 35L60 35L40 81R20 58J90 81T08 81T99 83A05 81-02 PDFBibTeX XML
Grudo, Eh. I.; Yanchuk, L. F. Gronwall, Bihari, and Langenhop inequalities for Pfaffian systems. (English) Zbl 0394.35014 Differ. Equations 13, 511-514 (1977). MSC: 35F05 58A15 35B99 PDFBibTeX XMLCite \textit{Eh. I. Grudo} and \textit{L. F. Yanchuk}, Differ. Equations 13, 511--514 (1977; Zbl 0394.35014)
Grudo, Eh. I.; Yanchuk, L. F. Ungleichungen der Art von Gronwall, Bihari und Langenhop für Pfaffsche Systeme. (Russian) Zbl 0353.35019 Differ. Uravn. 13, 749-752 (1977). MSC: 35F05 58A15 35B99 PDFBibTeX XMLCite \textit{Eh. I. Grudo} and \textit{L. F. Yanchuk}, Differ. Uravn. 13, 749--752 (1977; Zbl 0353.35019)
Kil’p, H. Quasi-linear systems of type \(S^1_{42}\) with different characteristics of a two-dimensional surface in \(R^3\) with vanishing Gausian curvature and torsion (geometric theory). (Russian) Zbl 0347.35004 Uch. Zap. Tartu. Gos. Univ. 355, Trudy Mat. Mekh. 15, 127-137 (1975). MSC: 35A30 35Q99 35B99 58A15 35F20 53B99 PDFBibTeX XML
Kil’p, H. Quasi-linear system of type \(S^1_{42}\) with different characteristics of an isothermal surface in \(R^3\) (geometric theory). (Russian) Zbl 0347.35003 Uch. Zap. Tartu. Gos. Univ. 355, Trudy Mat. Mekh. 15, 119-126 (1975). MSC: 35A30 35Q99 35B99 58A15 35F20 53B99 PDFBibTeX XML
Heil, Erhard Differentialformen und Anwendungen auf Vektoranalysis, Differentialgleichungen, Geometrie. (German) Zbl 0287.53047 Mannheim-Wien-Zürich: Bibliographisches Institut, B.I.- Wissenschaftsverlag. V, 202 S. DM 19.00 (1974). MSC: 53C65 53A55 53A45 35F99 53A05 53-01 58A10 PDFBibTeX XML
Gorbatenko, E. M. Germs of Pfaffian manifolds. (Russian) Zbl 0482.58004 Geom. Sb. 13, Tr. Tomsk. Ordena Krasnogo Znameni Gos. Univ. Im. V. V. Kujbysheva 246, 9-19 (1973). Reviewer: N. Popescu (M.R. 50, 8386) MSC: 58A30 58A17 12H20 58J99 13N05 PDFBibTeX XML
Lycagin, V. V. Local classification of first-order nonlinear partial differential equations. (English. Russian original) Zbl 0306.35004 Sov. Math., Dokl. 14, 761-764 (1973); translation from Dokl. Akad. Nauk SSSR 210, 525-528 (1973). MSC: 35A30 35F20 35N15 58J99 PDFBibTeX XMLCite \textit{V. V. Lycagin}, Sov. Math., Dokl. 14, 761--764 (1973; Zbl 0306.35004); translation from Dokl. Akad. Nauk SSSR 210, 525--528 (1973)
Kucerenko, V. V. The Hamilton-Jacobi equation in a complex nonanalytic setting. (English. Russian original) Zbl 0298.35011 Sov. Math., Dokl. 14, 1841-1845 (1973); translation from Dokl. Akad. Nauk SSSR 213, 1021-1024 (1973). MSC: 35G10 35Q99 58J99 35F20 PDFBibTeX XMLCite \textit{V. V. Kucerenko}, Sov. Math., Dokl. 14, 1841--1845 (1973; Zbl 0298.35011); translation from Dokl. Akad. Nauk SSSR 213, 1021--1024 (1973)
Malikov, H. M. Verallgemeinerung eines Cousinschen additiven Satzes über die Lösungen eines Systems linearer partieller Differentialgleichungen. (Russian) Zbl 0287.35017 Dokl. Akad. Nauk Tadzh. SSR 16, No. 7, 10-12 (1973). MSC: 35F05 47F05 58J99 PDFBibTeX XMLCite \textit{H. M. Malikov}, Dokl. Akad. Nauk Tadzh. SSR 16, No. 7, 10--12 (1973; Zbl 0287.35017)
Chernoff, Paul R. Essential self-adjointness of powers of generators of hyperbolic equations. (English) Zbl 0263.35066 J. Funct. Anal. 12, 401-414 (1973). MSC: 35L45 58J99 47D03 PDFBibTeX XMLCite \textit{P. R. Chernoff}, J. Funct. Anal. 12, 401--414 (1973; Zbl 0263.35066) Full Text: DOI
Folland, G. B.; Kohn, J. J. The Neumann problem for the Cauchy-Riemann complex. (English) Zbl 0247.35093 Annals of Mathematics Studies. No. 75. Princeton, N.J.: Princeton University Press and University of Tokyo Press. VIII, 146 p. $ 5.50 (1972). MSC: 35-02 35N15 58J10 65H10 35D10 35F15 PDFBibTeX XML Full Text: DOI