Abstract: A class of equations ut − div~a(u, ∇u) = f(x, t),(x, t) ∈ ST = R N × (0, T), is considered. These equations arise in the study of turbulent filtration of gas or liquid through porous media. If the initial value is a σ-finite measure, the existence and and no existence of the solutions of the equation are researched
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.
Huashui Zhan, "A Doubly Nonlinear Parabolic Equations with a σ-Finite Measure as its Initial Value," WSEAS Transactions on Mathematics, vol. 16, pp. 384-399, 2017, DOI:
Huashui Zhan. A Doubly Nonlinear Parabolic Equations with a σ-Finite Measure as its Initial Value.
WSEAS Transactions on Mathematics. 2017;16:384-399.