Classical differential invariants and applications to partial differential equations

H. H. Johnson

Type: Article

Publication Date: 1962-08-01

Citations: 17

DOI: https://doi.org/10.1007/bf01451139

View Publication

Locations

Mathematische Annalen - View

Similar Works

Action	Title	Year	Authors
+	Differential invariants and contact classification of ordinary differential equations	2015	P. V. Bibikov
+	Differential contra algebraic invariants: Applications to classical algebraic problems	2016	P. V. Bibikov Valentin Lychagin
+	Classical aspects of partial differential equations	1980	J. J. Duistermaat
+ PDF Chat	A hierarchy of generalized invariants for linear partial differential operators	2006	Elena Kartashova
+ PDF Chat	Pseudo-Canonical Forms and Invariants of Systems of Partial Differential Equations	1921	Alfred L. Nelson
+	Differential invariants	1995	Peter J. Olver
+	Differential Invariants	1982	Л.В. Овсянников
+	Semi-differential invariants	1992	Luc J. Van Gool Theo Moons Eric Pauwels A. Oosterlinck
+	Introduction to the Algebraic Theory of Invariants of Differential Equations	1989	Konstantin Sergeevich Sibirskiĭ
+	Local invariants of differential equations	1973	A. D. Bryuno
+	Invariants of binary differential equations	2009	Lizandro Sanchez Challapa
+ PDF Chat	Invariants of Systems of Linear Differential Equations	1901	E. J. Wilczynski
+	Invariants of homogeneous ordinary differential equations	1998	Andrzej J. Maciejewski Sasho Ivanov Popov
+	Differential Equations for Centro-Affine Invariants and Comitants of Differential Systems and Their Applications	2021	M.N. Popa V.V. Pricop
+	On Differential Invariants and Classification of Ordinary Differential Equations of the Form y'' = A(x, y)y' + B(x, y)	2018	P. V. Bibikov
+	Algebraic Approaches to Partial Differential Equations	2013	Xiaoping Xu
+	Equivalence and Invariants of Differential Equations	2007
+ PDF Chat	11. Differential Invariants	1961	Roman O. Popovych V. Boyko
+	Tensor invariants and integration of differential equations	2019	В. В. Козлов
+	Partial differential equations and applications	2024	David C. Stapleton

Works That Cite This (14)

Action	Title	Year	Authors
+ PDF Chat	GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES	2015	Robert G. Thompson Francis Valiquette
+ PDF Chat	A New Type of Vector Field and Invariant Differential Systems	1964	H. H. Johnson
+ PDF Chat	Persistence of freeness for Lie pseudogroup actions	2011	Peter J. Olver Juha Pohjanpelto
+ PDF Chat	Maurer–Cartan forms and the structure of Lie pseudo-groups	2005	Peter J. Olver Juha Pohjanpelto
+	Recursive Moving Frames for Lie Pseudo-Groups	2018	Peter J. Olver Francis Valiquette
+ PDF Chat	Solving Local Equivalence Problems with the Equivariant Moving Frame Method	2013	Francis Valiquette
+ PDF Chat	Invariants différentiels d'un pseudogroupe de Lie. II	1975	Antonio Kumpera
+ PDF Chat	Lie completion of pseudo-groups	2010	Vladimir Itskov Peter J. Olver Francis Valiquette
+	Bäcklund transformations for general PDE's	1983	P. Denes J. D. Finley
+ PDF Chat	Moving Frames for Lie Pseudo–Groups	2008	Peter J. Olver Juha Pohjanpelto

Works Cited by This (5)

Action	Title	Year	Authors
+ PDF Chat	Sur l'intégration des systèmes différentiels qui admettent des groupes continus de transformations	1904	Ernest Vessiot
+	The First and Second Fundamental Theorems of Lie for Lie Pseudo Groups	1962	A. M. Rodrigues
+	On E. Cartan's Prolongation Theorem of Exterior Differential Systems	1957	Masatake Kuranishi
+ PDF Chat	Some remarks on homological analysis and structures	1961	D. C. Spencer
+	Theory of Vector-Valued Differential Forms	1956	Alfred Frölicher Albert Nijenhuis