Elliptic Boundary Value Problems With Indefinite Weights presents a unified approach to the methodologies dealing with eigenvalue problems involving indefinite weights. The principal eigenvalue for such problems is characterized for various boundary conditions. Such characterizations are used, in particular, to formulate criteria for the persistence and extinctions of populations, and applications of the formulations obtained can be quite extensive.
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This work was primarily motivated by the elaborate review of Chris Cosner [1990] about eigenvalue problems with indefinite weights and the series of his biologically and ecologically oriented papers in collaboration with Steve Cantrell (Cantrell-Cosner) [1987a], [1987b], [1989a], [1989b], [1991a] and [1991b], some of which endearingly labeled "the roach proofing papers". Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conormal boundary condition, positive principal eigenvalue, indefinite weight function, minimax formulation, indefinite weights, positive eigenfunction, elliptic eigenvalue problems, coercivity conditions, degenerate equations, monotonicity results, adjoint problem, unique eigenvalue, diffusion matrix, minimax theorem, elliptic equations, outer measure, elliptic boundary value problems, divergence theorem, zero order term, ordinary calculus Key Phrases - Capitalized Phrases (CAPs): (learn more)
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This work was primarily motivated by the elaborate review of Chris Cosner [1990] about eigenvalue problems with indefinite weights and the series of his biologically and ecologically oriented papers in collaboration with Steve Cantrell (Cantrell-Cosner) [1987a], [1987b], [1989a], [1989b], [1991a] and [1991b], some of which endearingly labeled "the roach proofing papers". Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conormal boundary condition, positive principal eigenvalue, indefinite weight function, minimax formulation, indefinite weights, positive eigenfunction, elliptic eigenvalue problems, coercivity conditions, degenerate equations, monotonicity results, adjoint problem, unique eigenvalue, diffusion matrix, minimax theorem, elliptic equations, outer measure, elliptic boundary value problems, divergence theorem, zero order term, ordinary calculus Key Phrases - Capitalized Phrases (CAPs): (learn more)
Paul Levy New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 9
books:
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- Mathematics Dictionary by R.C. James in Back Matter
- Mathematical Analysis by Wiley in Back Matter
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John in Back Matter
- Mathematical Biology: I. An Introduction (Interdisciplinary Applied Mathematics) (Pt. 1) by James D. Murray in Back Matter
- New York (Land of Liberty) by Ellen Sturm in Back Matter
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