Nonlinear Diffusion Equations

From The Critics

Presents the basic problems, main results, and typical methods for nonlinear diffusion equations with degeneracy. The authors, who are affiliated with Jilin University, develop Newtonian filtration equations, non-Newtonian filtration equations, general quasilinear degenerated parabolic equations of second order, and some special nonlinear diffusion equations of fourth order. Topics include properties of the free boundary, the regularity of solutions, the uniqueness of solutions, the evolution p-Laplacian equation, and the Cahn-Hilliard equation with mobility in different cases. Originally published in Chinese in 1996. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)