Elliptic Boundary Value Problems with Indefinite Weights, Variational Formulations of the Principal Eigenvalue, and ApplicationsCRC Press, 5 Mei 1997 - 256 halaman 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. |
Isi
Modelling Diffusion Drift and Boundary Conditions | 13 |
Existence Coercivity and Monotonicity Results | 51 |
The Case of Potential Based Drift | 81 |
C The Neumann case and the Cosner conjecture | 107 |
Minimax Formulations of the Principal Eigenvalue | 149 |
Epilogue | 177 |
Bibliography | 207 |
Istilah dan frasa umum
adjoint analysis applications assume Banach space boundary condition bounded Brownian called chapter characterized coefficients complex computations consider constant continuous Corollary Cosner defined Definition degenerate denoted described diffusion Dirichlet distribution divergence domain drift eigenfunction eigenvalue problem elliptic established existence extended fields formulation function Furthermore given hence Hess hold indefinite weight integral isotropic Lemma linear Markov mathematical matrix means measure methods motion Neumann No-flux Note obtain operator partial differential equations particle particular population positive potential principal eigenvalue probability Proof prove random reader recall recurrent Remark respectively Robin satisfies smooth solution space stochastic stochastic differential equations term Theorem theory treat unique University variational vector yields zero ди მე მი