Splitting in a degenerate quasilinear parabolic equation
โ Scribed by Yu. Ya. Belov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1989
- Tongue
- English
- Weight
- 251 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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