The moving coframe method is applied to solve the local equivalence problem
for the class of linear parabolic equations in two independent variables under
an action of the pseudo-group of contact transformations. The structure
equations and the complete sets of differential invariants for symmetry groups
are found. The solution of the equivalence problem is given in terms of these
invariants.
@article{0304045,
author = {Morozov, Oleg I.},
title = {Contact Equivalence Problem for Linear Parabolic Equations},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0304045}
}
Morozov, Oleg I. Contact Equivalence Problem for Linear Parabolic Equations. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304045/