Some recursion relations for solutions of a class of equations
This work presents some recursion relations for solutions of a class of singular partial differential equations. The equations consist of iterated differential operators each of which involves real parameters.
On the solutions of some classes of PDE with singular coefficients
ABSTRACT We consider the linear Cauchy problem with analytic data for two models of second order operators with singular coefficients. We show that the propagation of the singularities of the coefficients of the subprincipal part of the operators generate singularities on the union of the characteristic surfaces, on the surfaces , and on the characteristic cone too.
Tradeoffs and limitations in statistically based image reconstruction problems.
TRADEOFFS AND LIMITATIONS IN STATISTICALLY BASED IMAGE RECONSTRUCTION PROBLEMS