Intrinsic scaling for pde's with an exponential nonlinearity

• Author(s): Henriques, Eurica ; Urbano, José Miguel
• Date: 2004
• Persistent ID: http://hdl.handle.net/10316/11403
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Porous medium equation; Degenerate PDE’s; Regularity theory; Intrinsic scaling
• Document Type: Preprint
• Language: English

Description

We consider strongly degenerate equations in divergence form of the type ∂tu − ∇ • ( u γ(x,t)∇u)= f , where the exponential nonlinearity satisfies the condition 0 < γ− ≤ γ(x, t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. CMUC/FCT Project POCTI/34471/MAT/2000; PRODEP-FSE