ANISOTROPIC NONLINEAR DIFFUSION WITH ABSORPTION: EXISTENCE AND EXTINCTION

• Published in: International Journal of Mathematics and Mathematical Sciences Vol. 1996; no. 3; pp. 427 - 434
• Main Authors: Lair, Alan V., Oxley, Mark E.
• Format: Journal Article
• Language: English
• Published: Hindawi Limiteds 1996; Hindawi Limited
• Subjects: Anisotropic nonlinear diffusion; finite extinction time; generalized solution; Anisotropic nonlinear diffusion; finite extinction time; generalized solution

The authors prove that the nonlinear parabolic partial differential equation (The equation is abbreviated) with homogeneous Dirichlet boundary conditions and a nonnegative initial condition has a nonnegative generalized solution u. They also give necessary and sufficient conditions on the constituti...