INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
Non linear second order partial differential equations as generalized inverse moment problems
VERICAT, FERNANDO; PINTARELLI, MARÍA B.
JOURNAL OF INTERDISCIPLINARY MATHEMATICS
Taylor & Francis
Lugar: NEW DELHI; Año: 2018 vol. 21 p. 59 - 81
General forms for non linear elliptic, hyperbolic and parabolic partial differential equations are considered. For all these we present a general procedure that transforms they into a Fredholm integral equation of the first kind. The resulting integral equations are then handled as a generalized moment problem. An inversion algorithm as well as conditions for the stability for the solution of this last are given. Some examples show the accuracy of the inversion method.