In this paper, we study the global existence of solutions for semilinear evolution equations with nonlocal conditions, via a fixed point analysis approach. Using the LerayαSchauder Alternative, we derive conditions under which a solution exists globally.
Existence of mild solutions for semilinear evolution equations with non-local initial conditions
β Scribed by Qing Liu; Rong Yuan
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 506 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This work is concerned with the existence of anti-periodic mild solutions for a class of semilinear fractional differential equations where 1 < a < 2, A is a linear densely defined operator of sectorial type of x < 0 on a complex Banach space X and F is an appropriate function defined on phase spac
## Abstract Let Ξ© be a domain in β^__n__^ and let __m__Ο΅ β; be given. We study the initialβboundary value problem for the equation with a homogeneous Dirichlet boundary condition; here __u__ is a scalar function, \documentclass{article}\pagestyle{empty}\begin{document}$ \bar D\_x^m u: = (\partial \