Finite propagation speed for solutions of the parabolic {$p$}-Laplace equation on manifolds
نویسندگان
چکیده
منابع مشابه
EXISTENCE OF SOLUTIONS TO A PARABOLIC p(x)-LAPLACE EQUATION WITH CONVECTION TERM VIA L∞ ESTIMATES
This article is devoted to the study of the existence of weak solutions to an initial and boundary value problem for a parabolic p(x)-Laplace equation with convection term. Using the De Giorgi iteration technique, the authors establish the critical a priori L∞-estimates and thus prove the existence of weak solutions.
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2005
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2005.v13.n4.a5