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strongly nonlinear parabolic problems

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

On a class of nonlinear anisotropic parabolic problems
Part of
- Elastic materials
- Parabolic equations and systems
M. H. Abdou, M. Chrif, S. El Manouni, H. Hjiaj
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 146 / Issue 1 / February 2016

Published online by Cambridge University Press:

22 October 2015, pp. 1-21

Print publication:

February 2016
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We prove the existence of weak solutions for the strongly nonlinear parabolic problem
in the anisotropic Sobolev space , where the data f are assumed to be in the dual, and the nonlinear term g(x, t, s) has growth and sign conditions on s.