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

cited authors

  • Campana, C; Dattori da Silva, PL; Meziani, A

authors

abstract

  • 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.

publication date

  • January 1, 2017

Digital Object Identifier (DOI)

start page

  • 29

end page

  • 50

volume

  • 681