The accretive operators theory is employed for proving an existence theorem for the evolutive energy equations involving simultaneously conduction, stationary convection (in the sense that the velocity field is assumed to be time independent), and radiation. In doing that we need to use new existence results for elliptic linear problems with mixed boundary conditions and irregular data.
Cite this article
Maria Michaela Porzio, Óscar López-Pouso, Application of accretive operators theory to evolutive combined conduction, convection and radiation. Rev. Mat. Iberoam. 20 (2004), no. 1, pp. 257–275DOI 10.4171/RMI/388