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arXiv · 2003.00064

Quasilinear parabolic equations with first order terms and $L^1$-data in moving domains

Do Lan·Dang Thanh Son·Bao Quoc Tang·Le Thi Thuy
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Abstract

The global existence of weak solutions to a class of quasilinear parabolic equations with nonlinearities depending on first order terms and integrable data in a moving domain is investigated. The class includes the $p$-Laplace equation as a special case. Weak solutions are shown to be global by obtaining appropriate estimates on the gradient as well as a suitable version of Aubin-Lions lemma in moving domains.

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Do Lan, Dang Thanh Son, Bao Quoc Tang, Le Thi Thuy. 2020-02-28. Quasilinear parabolic equations with first order terms and $L^1$-data in moving domains. https://arxiv.org/abs/2003.00064

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