Properties of solutions of a class of hypocomplex vector fields
Book Chapter
Campana, C, Dattori da Silva, PL, Meziani, A. (2017). Properties of solutions of a class of hypocomplex vector fields
. 681 29-50. 10.1090/conm/681/13660
Campana, C, Dattori da Silva, PL, Meziani, A. (2017). Properties of solutions of a class of hypocomplex vector fields
. 681 29-50. 10.1090/conm/681/13660
A Cauchy type integral operator is associated to a class of integrable vector fields with complex coefficients. Properties of the integral operator are used to deduce Hölder solvability of semilinear equations Lu = F(x, y, u) and a strong similarity principle between the solutions of the equation Lu = au + bū and those of the equation Lu = 0.