Local baundedness for solutions of doubly nonlinear parabolic equation

Abstract

It is well known that the local and global beundedness require different cenditions for selutiens of singular parabohic equations.Tbk phenomenon appearas for deubí>' nenlinear parabolic equatien (1). In tbis paper local boundedness of selutiens of (1) is preved b>' adding a suitable integrability conditien en u.