Abstract
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| → ∞.
Original language | English |
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Pages (from-to) | 1235-1260 |
Number of pages | 26 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 27 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1996 Sep 1 |
Keywords
- Cauchy problem
- Doubly nonlinear parabolic equation
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics