Full paper in PDF:
$%L. Xiting and W. Zaide, Local boundedness for solutions of doubly nonlinear parabolic equations, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 179190.%$

Local Boundedness for Solutions of Doubly Nonlinear Parabolic Equations
Xiting LIang and Zaide Wu
Department of Mathematics
Zhongshan University
Guangzhou 510275 P. R. China
Department of Mathematics
Tianjin University
Tianjin 300072 P. R. China

Received: May 11, 1995
Revised: April 9, 1996
ABSTRACT

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

(|u|c-2) -divA(x,t,u, \~/ u) +B(x,t,u, \~/ u+ B(x,t,u, \~/ u) = 0.
       t

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.