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On Principal Eigenvalues for Periodic Parabolic Problems with Optimal Condition on the Weight Function

✍ Scribed by T Godoy; U Kaufmann

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
138 KB
Volume
262
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let

be a bounded domain in N and let m be a T -periodic function such that its restriction to Γ— 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 β‰₯ 2. We give necessary and sufficient conditions on m for the existence, uniqueness, and simplicity of the principal eigenvalue for the Dirichlet periodic parabolic eigenvalue problem with weight m.

πŸ“œ SIMILAR VOLUMES

On a Shooting Algorithm for Sturm-Liouvi
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This paper is concerned with the eigenvalues of Sturm-Liouville problems with periodic and semi-periodic boundary conditions to be approximated by a shooting algorithm. The proposed technique is based on the application of the Floquet theory. Convergence analysis and a general guideline to provide s