For the existence of weak solutions of ∂/∂t(|u|β-1u) = div(|▽u|p-2▽u) with |u|β-1u(·, 0) = μ(·), we give a sufficient condition for the growth order of the initial data μ(x) as |x| → ∞.
- Cauchy problem
- Doubly nonlinear parabolic equation
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics