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Regularity and uniqueness in quasilinear parabolic systems

✍ Scribed by Pavel Krejčí; Lucia Panizzi


Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
254 KB
Volume
56
Category
Article
ISSN
0862-7940

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L1-Contraction and Uniqueness for Quasil
✍ 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