Journal
AXIOMS
Volume 10, Issue 1, Pages -Publisher
MDPI
DOI: 10.3390/axioms10010014
Keywords
stability; nonlinear parabolic problem; nonstandard growth; cross-diffusion
Categories
Funding
- Kristine Bonnevie scholarship 2020
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This study investigates the stability of a unique weak solution to certain parabolic systems with nonstandard growth conditions and cross-diffusion terms, demonstrating that two unique weak solutions with different initial values are controlled by these initial values.
We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term. More precisely, we show that two unique weak solutions of the considered system with different initial values are controlled by their initial values.
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