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 algebras applications assume ba¯¹ ba¹ Banach space boundary condition bounded Brownian motion changes sign chapter characterized coefficients conormal consider Corollary Cosner defined degenerate denoted diffusion Dirichlet problem Divergence Theorem drift eigenfunction eigenvalue problem elliptic existence Fichera finite formulation Furthermore given hence Hess hypoelliptic indefinite weight integral isotropic Krein-Rutman Lemma linear m(xo mathematical matrix maximum principle measure minimax Neumann Neumann boundary condition Neumann problem No-flux Nonlinear Note obtain operator outer measure outward normal parabolic partial differential equations particle particular population positive definite positive eigenfunction positive principal eigenvalue Proof random recurrent Robin Robin boundary conditions self-adjoint semigroup solution space stochastic sup(m theory V₂ vector field weight function zero θη ΘΩ ΙΩ ди მე მთ მი მო მუ