# L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations

@article{Otto1995L1ContractionAU, title={L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations}, author={Felix Otto}, journal={Journal of Differential Equations}, year={1995}, volume={131}, pages={20-38} }

Abstract We prove the L 1 -contraction principle and uniqueness of solutions for quasilinear elliptic–parabolic equations of the form[formula]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 derivative ∂ t [ b ( u )] is a bounded Borel measure or a locally integrable function.

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