We study the Gevrey solvability of a class of complex vector fields, defined on Omega(epsilon) = (-epsilon, epsilon) x S(1), given by L = partial derivative/partial derivative t + (a(x) + ib(x))partial derivative/partial ...

This paper deals with semi-global C(k)-solvability of complex vector fields of the form L = partial derivative/partial derivative t + x(r) (a(x) + ib(x))partial derivative/partial derivative x, r >= 1, defined on Omega(epsilon) ...

The goal of this paper is study the global solvability of a class of complex vector fields of the special form L = partial derivative/partial derivative t + (a + ib)(x)partial derivative/partial derivative x, a, b epsilon ...

This paper deals with the solvability near the characteristic set Σ = {0}× 'S POT.1' of operators of the form L = ∂/∂t+('X POT.N'a(x)+ixb(x))∂/∂x, b(0) 'DIFERENTE DE' 0 and n ≥ 2, defined on 'Ω IND.E' = (−E, E) × 'S POT.1', ...

This work deals with the solvability near the characteristic set Sigma = {0} x S-1 of operators of the form L = partial derivative/partial derivative t+(x(n) a(x)+ ix(m) b(x))partial derivative/partial derivative x, b not ...

The problem of the description of an effective base for some algebra A over a field F is to find a base B for the vector space A over F with a certain algorithm of multiplication of the elements from B that in consequence ...