Email this article Existence of a Renormalized Solution to an Anisotropic Parabolic Problem for an Equation with Diffuse Measure
- Authors: Mukminov F.K.1
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Affiliations:
- Institute of Mathematics with Computing Centre
- Issue: Vol 306, No 1 (2019)
- Pages: 178-195
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175917
- DOI: https://doi.org/10.1134/S008154381905016X
- ID: 175917
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Abstract
The first initial-boundary value problem is considered for a class of anisotropic parabolic equations with variable nonlinearity exponents and a diffuse measure on the right-hand side in a cylindrical domain (0, T) × Ω. The domain Ω is bounded. The existence of a renormalized solution is proved.
About the authors
F. Kh. Mukminov
Institute of Mathematics with Computing Centre
Author for correspondence.
Email: mfkh@rambler.ru
Russian Federation, ul. Chernyshevskogo 112, Ufa, 450008
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