L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations

作者: Felix Otto

DOI: 10.1006/JDEQ.1996.0155

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摘要: Abstract We prove the L 1 -contraction principle and uniqueness of solutions for quasilinear elliptic–parabolic equations form[formula]where b is monotone nondecreasing continuous. assume only that u a weak solution finite energy. In particular, we do not suppose distributional derivative ∂ t [ ( )] bounded Borel measure or locally integrable function.

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