Contact Equivalence Problem for Linear Parabolic Equations

2003/04/29 by Oleg I. Morozov, Morozov, Oleg I.
Computer Science · Engineering · Mathematics · Physics and Astronomy · #35A30 #58H05 #58J70 #Contact Mechanics and Variational Inequalities #Differential Geometry (math.DG) #Elasticity and Wave Propagation #FOS: Mathematics #FOS: Physical sciences #Material Science and Thermodynamics #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:35A30 #msc:58H05 #msc:58J70

paper · pdf · doi:10.48550/arxiv.math-ph/0304045

arxiv created 2003/04/29 · openalex publication_date 2003/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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