Mohamed Karimou Gazibo, "A New Approach for Existence of Strong Trace of Entropy Solution for Degenerate Parabolic Equation," WSEAS Transactions on Mathematics, vol. 24, pp. 16-25, 2025, DOI:10.37394/23206.2025.24.3
Mohamed Karimou Gazibo. A New Approach for Existence of Strong Trace of Entropy Solution for Degenerate Parabolic Equation.
WSEAS Transactions on Mathematics. 2025;24:16-25. 10.37394/23206.2025.24.3
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
A New Approach for Existence of Strong Trace of Entropy Solution for Degenerate Parabolic Equation
Author:
Abstract: In this note, we propose a new proof of existence of $$L^{∞}$$ strong trace of entropy solution for multidimensional degenerate parabolic-hyperbolic equation in a bounded domain $$Ω ⊂ \mathbb{R}^{ℓ}$$ reached by $$L^{1}$$ convergence. The proof is based on using of concept of quasi solution.
Keywords:
Degenerate parabolic equation, Conservation laws, Boundary value problem, Entropy formulation, Quasi solution, Strong trace
Pages: 16-25 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #3 DOI: 10.37394/23206.2025.24.3
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