6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AP2010
Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane
Ekaterina Shemyakova
Parametric factorizations of linear partial operators on the plane are considered for operators of orders two, three and four. The operators are assumed to have a completely factor…
math.AP2010★ 6 cited
Obstacles to the Factorization of Linear Partial Differential Operators into Several Factors
Ekaterina Shemyakova, Franz Winkler
We consider algorithms for the factorization of linear partial differential operators. We introduce several new theoretical notions in order to simplify such considerations. We def…
nlin.SI2008★ 1 cited
Differential transformations of parabolic second-order operators in the plane
S. P. Tsarev, E. Shemyakova
Here, Darboux's classical results about transformations with differential substitutions for hyperbolic equations are extended to the case of parabolic equations of the form $L u =…