Precise Spectral Asymptotics for Logistic Equations of Population Dynamics | Zendy

Shibata Tetsutaro | Zendy

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Precise Spectral Asymptotics for Logistic Equations of Population Dynamics

Author(s) -

Shibata Tetsutaro

Publication year - 2004

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609303002613

Subject(s) - eigenvalues and eigenvectors , mathematics subject classification , mathematics , nonlinear system , population , dynamics (music) , citation , norm (philosophy) , subject (documents) , calculus (dental) , pure mathematics , computer science , library science , medicine , physics , demography , dentistry , quantum mechanics , sociology , acoustics , political science , law

The semilinear elliptic eigenvalue problem with superlinear pure power nonlinearity is considered. This problem is treated from the standpoint of L 2 ‐theory and the precise asymptotic formula for the eigenvalue parameter λ = λ(α) as α → ∞ is established, where α is the L 2 ‐norm of the solution u associated with λ. 2000 Mathematics Subject Classification 35P30 (primary), 35J60 (secondary).

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