On a degenerate parabolic boundary value problem. (English) Zbl 0534.35057

Kačur, Jozef

Differential equations and their applications, Equadiff 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 169-173 (1982).

[For the entire collection see Zbl 0507.00006.]
The author announces some existence and uniqueness theorems for nonlinear degenerate parabolic boundary value problems, of Dirichlet type, or cylindrical domains.

Reviewer: N.A.Watson

MSC:

35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K65	Degenerate parabolic equations
35A05	General existence and uniqueness theorems (PDE) (MSC2000)
58D25	Equations in function spaces; evolution equations
35G10	Initial value problems for linear higher-order PDEs
35K25	Higher-order parabolic equations

Keywords:

existence; uniqueness; Dirichlet type; cylindrical domains

Citations:

Zbl 0507.00006