Full paper in PDF:
$%L. Xiting and W. Zaide, Local boundedness for solutions of doubly nonlinear parabolic equations,
Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 179–190.%$
Department of Mathematics Zhongshan University Guangzhou 510275 — P. R. China | Department of Mathematics Tianjin University Tianjin 300072 — P. R. China |
It is well known that the local and global boundedness require different conditions for solutions of singular parabolic equations. This phenomenon appears for doubly nonlinear parabolic equation
In this paper local boundedness of solutions of this equation is proved by adding a suitable integrability condition on u.
1991 Mathematics Subject Classification: 35B35.