Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems
Texas State University-San Marcos, Department of Mathematics
We study the Cauchy problem associated with the nonlinear elliptic - parabolic equation b(u)t - α(u, φ(u)x)x = ƒ We prove an L1-contraction principle and hence the uniqueness of entropy solutions, under rather general assumptions on the data.
Elliptic, Parabolic, Degenerate, Weak solution, Entropy solution, L1-contraction principle
Ouaro, S., & Toure, H. (2007). Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems. <i>Electronic Journal of Differential Equations, 2007</i>(82), pp. 1-15.