×

Estimates of the solution of a boundary value problem for the transport equation and the method of successive approximation. (Russian) Zbl 0636.45016

An integro-partial differential equation arising in transport processes is studied. By employing the method of successive approximations, the author constructs a sequence of approximate boundary value problems, whose solutions are shown to converge to the solution of the original equation. Upper and lower estimates of the solution are also derived.
Reviewer: S.Aizicovici

MSC:

45K05 Integro-partial differential equations
45L05 Theoretical approximation of solutions to integral equations
82C70 Transport processes in time-dependent statistical mechanics
PDFBibTeX XMLCite