Abstract
In this paper, we study a class of quasilinear parabolic equations involving -Laplacian operator and nonlocal term in a bounded domain, which arises from biomathematics or nonstationary fluids. Under appropriate assumptions, we obtain the local existence of weak solutions by applying Galerkin’s approximation method.
Acknowledgements
The authors would like to thank an anonymous referee for many helpful comments and suggestions on the original manuscript.
Disclosure statement
No potential conflict of interest was reported by the authors.
Notes
College of Science, Civil Aviation University of China, Tianjin 300300, P.R. China.