Weak Solutions for a Fourth Order Degenerate Parabolic Equation

• Autorzy: Changchun Liu , Jinyong Guo
• Języki publikacji: EN

Abstrakty

EN

We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.

Kategorie tematyczne

• 35G30: Boundary value problems for nonlinear higher-order equations
• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 1
• Strony: 27-39

Daty

wydano

2006

Twórcy

autor

Changchun Liu

• Department of Mathematics, Jilin University, Changchun 130012, P.R. China

autor

Jinyong Guo

• Department of Mathematics, Liuzhou Normal College, Liuzhou, 545004, P.R. China

Identyfikatory

DOI

10.4064/ba54-1-3