Preprint 2004-031

Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations

Abstract: We consider doubly nonlinear anisotropic degenerate parabolic equations, supplemented with an initial condition and a homogeneous Dirichlet boundary condition. We introduce a notion of entropy solution and prove that the entropy solution is uniquely determined by its data.

Paper:

Available as PDF (272 Kbytes), Postscript (1184 Kbytes) or gzipped PostScript (344 Kbytes; uncompress using gunzip).

Author(s):

M. Bendahmane,

K. H. Karlsen, <kennethk@math.uio.no>

Publishing information:

To appear in Contemporary Mathematics, AMS.

Comments:

Submitted by:

<kennethk@math.uio.no> June 15 2004.