Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and L1 data

By Chao Zhang, Shulin Zhou. 2010

113 citations recorded by the source corpus.

Abstract In this paper we prove the existence and uniqueness of both renormalized solutions and entropy solutions for nonlinear parabolic equations with variable exponents and L 1 data. And moreover, we obtain the equivalence of renormalized solutions and entropy solutions.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/487073b23a1ae58f3187d199d1ece54830365adb

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In Applied Mathematics

1. Iwona Chlebicka
2. Paolo Marcellini

In Computational Theory and Mathematics

1. Iwona Chlebicka
2. Paolo Marcellini

In Mathematical Physics

1. Iwona Chlebicka
2. Paolo Marcellini

Citations in the corpus

• A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, methodology): “See [127] for an elliptic result and [82] for the equivalence between entropy and renormalized solutions to parabolic problems with polynomial growth and [198, 199] for the corresponding results in the variable exponent and the Orlicz settings, respectively.”