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Lie's Structural Approach to PDE Systems Book

Lie's Structural Approach to PDE Systems
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Lie's Structural Approach to PDE Systems, Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series , Lie's Structural Approach to PDE Systems
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  • Lie's Structural Approach to PDE Systems
  • Written by author Olle Stormark
  • Published by Cambridge University Press, 1/26/2012
  • Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series
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Preface; 1. Introduction and summary; 2. PDE systems, pfaffian systems and vector field systems; 3. Cartan's local existence theorem; 4. Involutivity and the prolongation theorem; 5. Drach's classification, second order PDEs in one dependent variable and Monge characteristics; 6. Integration of vector field systems n satisfying dim n' = dim n + 1; 7. Higher order contact transformations; 8. Local Lie groups; 9. Structural classification of 3-dimensional Lie algebras over the complex numbers; 10. Lie equations and Lie vector field systems; 11. Second order PDEs in one dependent and two independent variables; 12. Hyperbolic PDEs with Monge systems admitting 2 or 3 first integrals; 13. Classification of hyperbolic Goursat equations; 14. Cartan's theory of Lie pseudogroups; 15. The equivalence problem; 16. Parabolic PDEs for which the Monge system admits at least two first integrals; 17. The equivalence problem for general 3-dimensional pfaffian systems in five variables; 18. Involutive second order PDE systems in one dependent and three independent variables, solved by the method of Monge; Bibliography; Index.


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Lie's Structural Approach to PDE Systems, Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series , Lie's Structural Approach to PDE Systems

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Lie's Structural Approach to PDE Systems, Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series , Lie's Structural Approach to PDE Systems

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Lie's Structural Approach to PDE Systems, Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series , Lie's Structural Approach to PDE Systems

Lie's Structural Approach to PDE Systems

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