Nonclassical equivalence transformations
Nonclassical equivalence transformations represent a new type of symmetry reductions that can be analyzed for parameter identification problems modeled by partial differential equations. These symmetry reductions, hidden by the nonlinearity of a mathematical model, can be incorporated into the associated boundary conditions. Therefore, these symmetry reductions relate the inverse and the direct problems, reduce the order of the model, and allow us to find analytical solutions of the parameter identification problem.
This is joint work with Jitse Niesen.