Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems

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ouaro.pdf (239.19 KB)
Date
2007-05-29
Authors
Ouaro, Stanislas
Toure, Hamidou
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Elliptic, Parabolic, Degenerate, Weak solution, Entropy solution, L1-contraction principle
Citation
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.
URI
https://hdl.handle.net/10877/14277
Collections
Electronic Journal of Differential Equations