Diffusive logistic equations with indefinite weights: population models in disrupted environments
RS Cantrell, C Cosner - Proceedings of the Royal Society of …, 1989 - cambridge.org
The dynamics of a population inhabiting a strongly heterogeneous environment are
modelledby diffusive logistic equations of the form ut= d Δu+[m (x)—cu] u in Ω×(0,∞), where …
modelledby diffusive logistic equations of the form ut= d Δu+[m (x)—cu] u in Ω×(0,∞), where …
Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture
ML Lapidus - Transactions of the American Mathematical Society, 1991 - ams.org
Let $\Omega $ be a bounded open set of ${\mathbb {R}^ n}\;(n\geq 1) $ with" fractal"
boundary $\Gamma $. We extend Hermann Weyl's classical theorem by establishing a …
boundary $\Gamma $. We extend Hermann Weyl's classical theorem by establishing a …
Eigenvalue branches of the Schrödinger operatorH−λW in a gap of σ(H)
Eigenvalue branches of the Schrödinger operator <Emphasis Type="Italic">H </Emphasis>ȡ
Page 1 Commun. Math. Phys. 121,291-321 (1989) Communications in Mathematical Physics …
Page 1 Commun. Math. Phys. 121,291-321 (1989) Communications in Mathematical Physics …
Weyl's formula for a class of pseudodifferential operators with negative order on L2(Rn)
M Dauge, D Robert - Pseudo-Differential Operators: Proceedings of a …, 1987 - Springer
Introduction The startmg point of this work is a paper by Birman and Solomjak [BI-SO I] m
which they study the eigenvalues asyrnptotics of a class of integral compact operators on V …
which they study the eigenvalues asyrnptotics of a class of integral compact operators on V …
Principal eigenvalues for problems with indefinite weight function on 𝑅ⁿ
KJ Brown, C Cosner, J Fleckinger - Proceedings of the American …, 1990 - ams.org
We investigate the existence of positive principal eigenvalues of the problem $-\Delta u
(x)=\lambda g (x) u $ for $ x\in {R^ n}; u (x)\to 0$ as $ x\to\infty $ where the weight function …
(x)=\lambda g (x) u $ for $ x\in {R^ n}; u (x)\to 0$ as $ x\to\infty $ where the weight function …
Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems
In this work, we investigate the regularized solutions and their finite element solutions to the
inverse source problems governed by partial differential equations, and we establish the …
inverse source problems governed by partial differential equations, and we establish the …
[图书][B] Elliptic Boundary Value Problems with Indefinite Weights, Variational Formulations of the Principal Eigenvalue, and Applications
F Belgacem - 1997 - books.google.com
Elliptic Boundary Value Problems With Indefinite Weights presents a unified approach to the
methodologies dealing with eigenvalue problems involving indefinite weights. The principal …
methodologies dealing with eigenvalue problems involving indefinite weights. The principal …
Eigencurves for two-parameter Sturm-Liouville equations
P Binding, H Volkmer - SIAM review, 1996 - SIAM
This paper concerns two-parameter Sturm-Liouville problems of the form -
(p(x)y')'+q(x)y=(λr(x)+μ)y,\quada\leqslantx\leqslantb with self-adjoint boundary conditions at …
(p(x)y')'+q(x)y=(λr(x)+μ)y,\quada\leqslantx\leqslantb with self-adjoint boundary conditions at …
Two-dimensional Maxwell's equations with sign-changing coefficients
ASBB Dhia, L Chesnel, P Ciarlet Jr - Applied Numerical Mathematics, 2014 - Elsevier
We consider the theoretical study of time harmonic Maxwell's equations in presence of sign-
changing coefficients, in a two-dimensional configuration. Classically, the problems for both …
changing coefficients, in a two-dimensional configuration. Classically, the problems for both …
Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization
We present a method for finding lower bounds on the global infima of integral variational
problems, wherein is minimized over functions satisfying given equality or inequality …
problems, wherein is minimized over functions satisfying given equality or inequality …