Abstract
We construct, in every Banach space which fails the Radon-Nikodym property, a nonlinear operator A which is m-accretive for some equivalent norm in X, such that the domain of A is not a singleton and such that the only strong solutions of the equation u 1+Au ∋ f are the constant ones.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1001-1008 |
| Number of pages | 8 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 112 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 1991 |
| Externally published | Yes |
Keywords
- Nonlinear evolution equations
- Radon-Nikodym property
- Strong solutions
- WÎ-accretive operators
ASJC Scopus subject areas
- Applied Mathematics
- General Mathematics