Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains

Abstract

We consider a higher-order evolution differential inequality in an exterior domain of ℝN{\mathbb{R}^{N}}, N≥3{N\geq 3}, with Dirichlet and Neumann boundary conditions. Using a unified approach, we obtain the critical exponents in the sense of Fujita for the considered problems. Moreover, the behavior of the solutions with respect to the initial data is discussed.

Keywords

• critical exponent
• exterior domain
• dependence on the initial data
• differential inequalities
• 35b33
• 35b44