Abstract
In this paper, we prove time estimates for solutions to a general nonhomogeneous parabolic problem whose operator satisfies nonstandard growth conditions. We also study the asymptotic behaviour of solutions to an anisotropic problem.
Funding source: Air Force Office of Scientific Research
Award Identifier / Grant number: FA9550-18-1-0254
Funding statement: G. Moscariello is grateful to CNRS for supporting her visit to IMJ-PRG. She was partially supported by Ministry of Education, University and Research PRIN 2017 and she is member of Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of INdAM. H. Frankowska is partially supported by Air Force Office of Scientific Research under award number FA9550-18-1-0254.
Acknowledgements
The authors are grateful to the referee for the constructive comments that helped to improve the presentation of the results.
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