๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On degenerate quasilinear parabolic equations of higher order

โœ Scribed by Liu Zhenhai

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
414 KB
Volume
33
Category
Article
ISSN
0031-5303

No coin nor oath required. For personal study only.

โœฆ Synopsis

In the paper existence results for degenerate quasilinear parabolic initial boundary value problems of higher order are proved. The weak solution is sought in a suitable weighted Sobolev space using the generalized degree theory. Mathematics subject clas+xtion numbera, 1991. Primary 35K3!j. Key words and phrases. Degenerate quasilinear parabolic equations, boundary value problems of higher order. *Supported by the funds of State Educational Commission of China for returned scholars from abroad.

๐Ÿ“œ SIMILAR VOLUMES

Quasilinear degenerate parabolic equatio
Quasilinear degenerate parabolic equations of Kirchhoff type
โœ Massimo Gobbino ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 123 KB

We investigate the evolution problem u#m("Au")Au"0, u( where H is a Hilbert space, A is a self-adjoint linear non-negative operator on H with domain D(A), and We prove that if u 3D(A), and m("Au ")O0, then there exists at least one global solution, which is unique if either m never vanishes, or m

Periodic solutions for double degenerate
Periodic solutions for double degenerate quasilinear parabolic equations
โœ Zhenhai Liu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

on the space X = L 2 (0; T ; V ), where Q = ร—(0; T ) and V = W 1; 2 0 (v; ) is a weighted Sobolev space, see Section 2. The degeneration is determined by a scalar function b(x) and a vector function v(x) = (v 1 (x); v 2 (x); : : : ; v N (x)) with positive components v i (x) in satisfying certain int