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Uniqueness and Nonuniqueness for the Approximation of Quasilinear Elliptic Equations

✍ Scribed by André, N.; Chipot, M.

Book ID
118188739
Publisher
Society for Industrial and Applied Mathematics
Year
1996
Tongue
English
Weight
919 KB
Volume
33
Category
Article
ISSN
0036-1429

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L1-Contraction and Uniqueness for Quasil
L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations
✍ Felix Otto 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 565 KB

We prove the L 1 -contraction principle and uniqueness of solutions for quasilinear elliptic parabolic equations of the form where b is monotone nondecreasing and continuous. We assume only that u is a weak solution of finite energy. In particular, we do not suppose that the distributional derivati