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Principal Eigenvalue Theory in Diffusion by Yutian LI is a document available to read on EtoBox.
This thesis investigates the principal spectral theory and variational characterization of principal eigenvalues in cooperative diffusion systems, focusing on both coupled and uncoupled nonlocal diffusion operators. Key findings include the existence, uniqueness, and multiplicity of principal eigenvalues, spectral analysis, and the relationship between the principal eigenvalue and the maximum principle. The results are derived using elementary methods, avoiding reliance on the Krein-Rutman theorem.
- Author
- Yutian LI
- Language
- EN