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Applications of Lie groups to differential equations. Paperback ed. (English) Zbl 0937.58026

Graduate Texts in Mathematics. 107. New York, NY: Springer. xxviii, 513 p. (2000).
Paperback ed. of the 2nd Springer-Verlag edition (1993; Zbl 0785.58003). The first Springer-Verlag edition from 1986 was thoroughly reviewed in Zbl 0588.22001.

MSC:

58J70 Invariance and symmetry properties for PDEs on manifolds
58-02 Research exposition (monographs, survey articles) pertaining to global analysis
58J40 Pseudodifferential and Fourier integral operators on manifolds
22E70 Applications of Lie groups to the sciences; explicit representations
22-02 Research exposition (monographs, survey articles) pertaining to topological groups
35Q53 KdV equations (Korteweg-de Vries equations)
35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
35K05 Heat equation
37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010)