Conservation Laws and Potential Symmetries of Linear Parabolic Equations

Understand

We carry out an extensive investigation of conservation laws and potential symmetries for the class of linear (1+1)-dimensional second-order parabolic equations.

• The group classification of this class is revised by employing admissible transformations, the notion of normalized classes of differential equations and the adjoint variational principle.
• All possible potential conservation laws are described completely.
• They are in fact exhausted by local conservation laws.