70 citations · 85 across the 9 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2017★ 4 cited
Self-adjoint local boundary problems on compact surfaces. I. Spectral flow
Marina Prokhorova
The paper deals with first order self-adjoint elliptic differential operators on a smooth compact oriented surface with non-empty boundary. We consider such operators with self-adj…
math.AP2005★ 9 cited
The structure of the category of parabolic equations
Marina Prokhorova
We define here the category of partial differential equations. Special cases of morphisms from an object (equation) are symmetries of the equation and reductions of the equation by…
math.AP2001★ 1 cited
Factorization of nonlinear heat equation posed on Riemann manifold
Marina Prokhorova
There was proposed the method of a factorization of PDE. The method is based on reduction of complicated systems to more easy ones (for example, due to dimension decrease). This co…