We prove the local boundedness of weak solutions for the following non-linear second order parabolic systems: (formula presented), |Du| where Ω ⊂ ℝn is a bounded domain and ϕ is a given N-function. The proof of this result is based on a Moser-type iteration argument.
L∞-regularity for a wide class of parabolic systems with general growth / Isernia, T.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 146:11(2018), pp. 4741-4753. [10.1090/proc/14099]
L∞-regularity for a wide class of parabolic systems with general growth
Isernia T.
2018-01-01
Abstract
We prove the local boundedness of weak solutions for the following non-linear second order parabolic systems: (formula presented), |Du| where Ω ⊂ ℝn is a bounded domain and ϕ is a given N-function. The proof of this result is based on a Moser-type iteration argument.File in questo prodotto:
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