Flanders, Harley Differential forms with applications to the physical sciences. Reprint. Unabridged, corr. republ. of the orig., publ. by Academic Press, 1963. (English) Zbl 0733.53002 Dover Books on Advanced Mathematics. New York: Dover Publications, Inc. xv, 205 p. $ 6.95 (1989). Reviewer: Bernd Wegner (Berlin) MSC: 53-01 58-01 53A45 53B50 58A10 PDFBibTeX XMLCite \textit{H. Flanders}, Differential forms with applications to the physical sciences. Reprint. Unabridged, corr. republ. of the orig., publ. by Academic Press, 1963. New York: Dover Publications, Inc. (1989; Zbl 0733.53002)
Vainberg, B. R. Asymptotic methods in equations of mathematical physics. Transl. from the Russian by E. Primrose. (English) Zbl 0743.35001 New York etc.: Gordon and Breach Science Publishers. vii, 498 p. (1989). Reviewer: I. Vrabie (Iaşi) MSC: 35-01 34-01 35-02 35B40 35C20 81Q20 70H20 35J25 34E05 65H10 35P20 35L45 34E20 PDFBibTeX XMLCite \textit{B. R. Vainberg}, Asymptotic methods in equations of mathematical physics. Transl. from the Russian by E. Primrose. New York etc.: Gordon and Breach Science Publishers (1989; Zbl 0743.35001)
Saunders, D. J. The geometry of jet bundles. (English) Zbl 0665.58002 London Mathematical Society Lecture Note Series, 142. Cambridge etc.: Cambridge University Press. 293 p. £20.00; $ 29.95 (1989). Reviewer: I.Kolář MSC: 58A20 58-02 49Q99 58A15 49S05 PDFBibTeX XMLCite \textit{D. J. Saunders}, The geometry of jet bundles. Cambridge etc.: Cambridge University Press (1989; Zbl 0665.58002)
Perelli Cippo, Claudio Schubert conditions for integral elements of an exterior differential system. (Italian. English summary) Zbl 0728.58001 Rend., Sci. Mat. Appl., A 122(1988), 291-300 (1989). MSC: 58A15 14M15 53C65 PDFBibTeX XMLCite \textit{C. Perelli Cippo}, Rend., Sci. Mat. Appl., A 122, 291--300 (1989; Zbl 0728.58001)
Nádeník, Zbyněk The relationship between geometry and geodesy from the historical point of view. (Das Verhältnis von Geometrie und Geodäsie aus historischer Sicht.) (German) Zbl 0717.01001 Wiss. Z. Ernst-Moritz-Arndt-Univ. Greifsw., Math.-Naturwiss. Reihe 38, No. 4, 66-67 (1989). Reviewer: Ü.Lumiste MSC: 01A05 86A30 58A15 PDFBibTeX XMLCite \textit{Z. Nádeník}, Wiss. Z. Ernst-Moritz-Arndt-Univ. Greifsw., Math.-Naturwiss. Reihe 38, No. 4, 66--67 (1989; Zbl 0717.01001)
Caviglia, Giacomo; Morro, Angelo Generalized symmetries and conservation laws: A Noether-type approach. (English) Zbl 0716.58031 Riv. Mat. Pura Appl. 4, 33-53 (1989). Reviewer: W.Sarlet MSC: 58J70 58A15 74B05 58E50 PDFBibTeX XMLCite \textit{G. Caviglia} and \textit{A. Morro}, Riv. Mat. Pura Appl. 4, 33--53 (1989; Zbl 0716.58031)
Grigor’ev, D. Yu. Complexity of computing the genus of a system of exterior differential equations. (English. Russian original) Zbl 0716.58004 Sov. Math., Dokl. 39, No. 3, 432-436 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 1, 26-30 (1989). Reviewer: M.G.Eastwood MSC: 58A15 14Q15 68Q25 PDFBibTeX XMLCite \textit{D. Yu. Grigor'ev}, Sov. Math., Dokl. 39, No. 3, 432--436 (1989; Zbl 0716.58004); translation from Dokl. Akad. Nauk SSSR 306, No. 1, 26--30 (1989)
Kamran, Niky; Olver, Peter J. Equivalence of differential operators. (English) Zbl 0715.47032 SIAM J. Math. Anal. 20, No. 5, 1172-1185 (1989). Reviewer: G.Caristi MSC: 47E05 58A15 34A26 PDFBibTeX XMLCite \textit{N. Kamran} and \textit{P. J. Olver}, SIAM J. Math. Anal. 20, No. 5, 1172--1185 (1989; Zbl 0715.47032) Full Text: DOI
Nance, Dana A class of weakened special Lagrangian calibrations. (English) Zbl 0709.49026 Indiana Univ. Math. J. 38, No. 1, 1-57 (1989). Reviewer: F.Tomi MSC: 49Q15 49Q05 58A15 53A10 PDFBibTeX XMLCite \textit{D. Nance}, Indiana Univ. Math. J. 38, No. 1, 1--57 (1989; Zbl 0709.49026) Full Text: DOI
Haftmann, Rolf Iterative realization of discrete exterior boundary conditions. (English) Zbl 0708.65097 Wiss. Z. Tech. Univ. Karl-Marx-Stadt 31, No. 2, 183-188 (1989). Reviewer: J.R.Kuttler MSC: 65N22 65N06 65F10 35J05 35J25 PDFBibTeX XMLCite \textit{R. Haftmann}, Wiss. Z. Tech. Univ. Karl-Marx-Stadt 31, No. 2, 183--188 (1989; Zbl 0708.65097)
Paskaramoorthy, R.; Shah, A. H.; Datta, S. K. Scattering of flexural waves by cavities in a plate. (English) Zbl 0703.73018 Int. J. Solids Struct. 25, No. 10, 1177-1191 (1989). MSC: 74J20 74S05 PDFBibTeX XMLCite \textit{R. Paskaramoorthy} et al., Int. J. Solids Struct. 25, No. 10, 1177--1191 (1989; Zbl 0703.73018) Full Text: DOI
Chrastina, Jan On formal theory of differential equations. II. (English) Zbl 0703.34001 Čas. Pěstování Mat. 114, No. 1, 60-105 (1989); corrections ibid. 114, No. 4, 411 (1989). Reviewer: Y.V.Rogovchenko MSC: 34A05 58A15 58A17 PDFBibTeX XMLCite \textit{J. Chrastina}, Čas. Pěstování Mat. 114, No. 1, 60--105 (1989; Zbl 0703.34001) Full Text: EuDML
Gurevich, D. I. Hecke symmetry and quantum determinants. (English. Russian original) Zbl 0703.22016 Sov. Math., Dokl. 38, No. 3, 555-559 (1989); translation from Dokl. Akad. Nauk SSSR 303, No. 3, 542-546 (1988). Reviewer: P.Maślanka MSC: 22E70 81R10 17B81 82B20 16W30 PDFBibTeX XMLCite \textit{D. I. Gurevich}, Sov. Math., Dokl. 38, No. 3, 555--559 (1989; Zbl 0703.22016); translation from Dokl. Akad. Nauk SSSR 303, No. 3, 542--546 (1988)
Şuhubi, E. S. Conservation laws in nonlinear elastodynamics. (English) Zbl 0702.73032 Int. J. Eng. Sci. 27, No. 4, 441-453 (1989). Reviewer: G.A.Maugin MSC: 74B20 74Axx 58A15 PDFBibTeX XMLCite \textit{E. S. Şuhubi}, Int. J. Eng. Sci. 27, No. 4, 441--453 (1989; Zbl 0702.73032) Full Text: DOI
Pinsky, Peter M.; Abboud, Najib N. Two mixed variational principles for exterior fluid-structure interaction problems. (English) Zbl 0701.73038 Comput. Struct. 33, No. 3, 621-635 (1989). MSC: 74F10 74S30 74P10 74S05 PDFBibTeX XMLCite \textit{P. M. Pinsky} and \textit{N. N. Abboud}, Comput. Struct. 33, No. 3, 621--635 (1989; Zbl 0701.73038) Full Text: DOI
Rund, Hanno Legendre transformations and Cartan forms in the calculus of variations of multiple integrals. II: Canonical distributions and Cartan forms. (English) Zbl 0696.49067 Quaest. Math. 12, No. 3, 315-339 (1989). Reviewer: H.Benker MSC: 49Q99 58A15 44A15 49L99 PDFBibTeX XMLCite \textit{H. Rund}, Quaest. Math. 12, No. 3, 315--339 (1989; Zbl 0696.49067) Full Text: DOI
Deuring, Paul; von Wahl, Wolf Das lineare Stokes-System in \({\mathbb{R}}^ 3\). II: Das Außenraumproblem. (The linear Stokes-system in \({\mathbb{R}}^ 3\). II: Exterior domains). (German) Zbl 0695.35147 Bayreuther Mathematische Schriften 28, 1-109 (1989). Reviewer: P.Deuring MSC: 35Q30 35J55 47B25 35B45 PDFBibTeX XML
Gragert, P. K. H. Lie algebra computations. (English) Zbl 0695.17013 Acta Appl. Math. 16, No. 2, 231-242 (1989). Reviewer: N.Backhouse MSC: 17B99 68W30 35Q99 58A15 PDFBibTeX XMLCite \textit{P. K. H. Gragert}, Acta Appl. Math. 16, No. 2, 231--242 (1989; Zbl 0695.17013) Full Text: DOI
Xing, An-Qing; Wang, Chung-Lie Applications of the exterior penalty method in constrained optimal control problems. (English) Zbl 0688.49035 Optim. Control Appl. Methods 10, No. 4, 333-345 (1989). MSC: 49M30 65K05 93C10 PDFBibTeX XMLCite \textit{A.-Q. Xing} and \textit{C.-L. Wang}, Optim. Control Appl. Methods 10, No. 4, 333--345 (1989; Zbl 0688.49035) Full Text: DOI
Zharinov, V. V. On Bäcklund correspondences. (English. Russian original) Zbl 0683.35005 Math. USSR, Sb. 64, No. 1, 277-293 (1989); translation from Mat. Sb., Nov. Ser. 136(178), No. 2(6), 274-291 (1988). Reviewer: J.Tian MSC: 35A30 35L65 37K35 35G10 35K25 58A15 58J72 58A30 58D25 35G20 PDFBibTeX XMLCite \textit{V. V. Zharinov}, Math. USSR, Sb. 64, No. 1, 277--293 (1989; Zbl 0683.35005); translation from Mat. Sb., Nov. Ser. 136(178), No. 2(6), 274--291 (1988) Full Text: DOI
Allard, William K. An improvement of Cartan’s test for ordinarity. (English) Zbl 0681.58001 Partial differential equations and the calculus of variations. Essays in Honor of Ennio De Giorgi, 1-8 (1989). Reviewer: M.Puta MSC: 58A10 PDFBibTeX XML
Rund, Hanno Legendre transformations and Cartan forms in the calculus of variations of multiple integrals. I: Legendre transformations. (English) Zbl 0681.49031 Quaest. Math. 12, No. 2, 205-229 (1989). Reviewer: H.Benker MSC: 49L99 58A15 44A15 49Q99 PDFBibTeX XMLCite \textit{H. Rund}, Quaest. Math. 12, No. 2, 205--229 (1989; Zbl 0681.49031) Full Text: DOI
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity. (English) Zbl 0677.73014 Arch. Ration. Mech. Anal. 106, No. 2, 97-159 (1989). Reviewer: Hervé Le Dret (Paris) MSC: 74B20 74S30 49Q15 49Q99 58A15 49Q20 PDFBibTeX XMLCite \textit{M. Giaquinta} et al., Arch. Ration. Mech. Anal. 106, No. 2, 97--159 (1989; Zbl 0677.73014) Full Text: DOI
Kamran, Niky; Olver, Peter J. Equivalence problems for first order Lagrangians on the line. (English) Zbl 0677.49034 J. Differ. Equations 80, No. 1, 32-78 (1989). MSC: 49Q99 58A15 PDFBibTeX XMLCite \textit{N. Kamran} and \textit{P. J. Olver}, J. Differ. Equations 80, No. 1, 32--78 (1989; Zbl 0677.49034) Full Text: DOI
Kamran, Niky; Olver, Peter J. Le problème d’équivalence à une divergence près dans le calcul des variations des intégrales multiples. (On the problem of equivalence up to a divergence in the calculus of variations for multiple integrals). (French) Zbl 0674.49029 C. R. Acad. Sci., Paris, Sér. I 308, No. 8, 249-252 (1989). MSC: 49Q99 58A15 PDFBibTeX XMLCite \textit{N. Kamran} and \textit{P. J. Olver}, C. R. Acad. Sci., Paris, Sér. I 308, No. 8, 249--252 (1989; Zbl 0674.49029)
Estabrook, Frank B.; Wahlquist, Hugo D. Classical geometries defined by exterior differential systems on higher frame bundles. (English) Zbl 0672.53035 Classical Quantum Gravity 6, No. 3, 263-274 (1989). Reviewer: C.Apreutesei MSC: 53C10 58A15 PDFBibTeX XMLCite \textit{F. B. Estabrook} and \textit{H. D. Wahlquist}, Classical Quantum Gravity 6, No. 3, 263--274 (1989; Zbl 0672.53035) Full Text: DOI
Cheung, Wing-Sum Variational problems and the exterior differential systems. (English) Zbl 0669.58013 Ill. J. Math. 33, No. 1, 10-26 (1989). Reviewer: L.G.Vulkov MSC: 58E30 PDFBibTeX XMLCite \textit{W.-S. Cheung}, Ill. J. Math. 33, No. 1, 10--26 (1989; Zbl 0669.58013)
Woronowicz, S. L. Differential calculus on compact matrix pseudogroups (quantum groups). (English) Zbl 0751.58042 Commun. Math. Phys. 122, No. 1, 125-170 (1989). MSC: 58H05 17B37 58A15 81R50 58B25 PDFBibTeX XMLCite \textit{S. L. Woronowicz}, Commun. Math. Phys. 122, No. 1, 125--170 (1989; Zbl 0751.58042) Full Text: DOI