Huashui Zhan, "How to Determine the Boundary Condition of a Strongly Degenerate Parabolic Equation," WSEAS Transactions on Mathematics, vol. 16, pp. 471-484, 2017, DOI:
Huashui Zhan. How to Determine the Boundary Condition of a Strongly Degenerate Parabolic Equation.
WSEAS Transactions on Mathematics. 2017;16:471-484.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
How to Determine the Boundary Condition of a Strongly Degenerate Parabolic Equation
Author:
Abstract: By reviewing Fichera-Oleˇinik theory, the portion of the boundary on which we should give the boundary value is determined, the corresponding initial-boundary value problem of the strongly degenerate parabolic equation (∂u/∂t)= ΔA(u) + div(b(u, x, t)), (x, t) ∈ Ω × (0, T), is considered. By introducing a new kind of entropy solution, we are able to get the existence and the stability of the solutions.
Keywords:
Initial-boundary value problem, boundary condition, Fichera-Oleinik theory, entropy solution, existence, stability
Pages: 471-484 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #50 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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