Weak solutions for a fourth order degenerate parabolic equation

• Autorzy: Liu C. , Guo J.
• 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.

Słowa kluczowe

EN

fourth order parabolic equation; existence; asymptotic behavior

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: Vol. 54, no 1
• Strony: 27--39
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Liu C.

autor

Guo J.

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

Bibliografia

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• [5] Y. Chen and L. Wu, Second Order Elliptic Equations and Elliptic Systems, Science Press, Beijing, 1991.
• [6] P. Drabek and M. Otani, Global bifurcation result for the p-biharmonic operator, Electron. J. Differential Equations 2001, no. 48, 19 pp.
• [7] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, Cambridge, 1952.
• [8] J. Simon, Compact sets in the space Lp(0,T;B), Ann. Mat. Pura Appl. 146 (1987), 65-96.