A Geometric Intrepertation for the Hans Lewy Operator
A numerical method for the solution of the nonlinear observer problem
The central part in the process of solving the observer problem for nonlinear systems is to find a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example...
Additional regularity for Lipschitz solutions of PDE.
An analytical solution of the generalized equation of energy transport in one-dimensional semi-infinite domains.