The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions
✍ Scribed by Daniel Daners; Julián López-Gómez
- Book ID
- 112713361
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 426 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1040-7294
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📜 SIMILAR VOLUMES
We consider the scalar parabolic equation \(u_{t}=\varepsilon^{2}\left(a^{2}(x) u_{x}\right)_{x}+f(u), 0<x<1\), satisfying Neumann boundary conditions and appropriate conditions on the nonlinearity \(f\). The attractor \(A_{\varepsilon}\) for the dynamical system generated by this equation has been
## Let be a bounded domain in N and let m be a T -periodic function such that its restriction to × 0 T belongs to L s 0 T L v for some v > N 2 and s > 2v 2v-N , with v > 1 and s ≥ 2. We give necessary and sufficient conditions on m for the existence, uniqueness, and simplicity of the principal eig