Metasolutions of Parabolic Equations in Population Dynamics
Auteur : López-Gómez Julián
Analyze Global Nonlinear Problems Using Metasolutions
Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author?s advanced work in the field, it covers the latest developments in the theory of nonlinear parabolic problems.
The book reveals how to mathematically determine if a species maintains, dwindles, or increases under certain circumstances. It explains how to predict the time evolution of species inhabiting regions governed by either logistic growth or exponential growth. The book studies the possibility that the species grows according to the Malthus law while it simultaneously inherits a limited growth in other regions.
The first part of the book introduces large solutions and metasolutions in the context of population dynamics. In a self-contained way, the second part analyzes a series of very sharp optimal uniqueness results found by the author and his colleagues. The last part reinforces the evidence that metasolutions are also categorical imperatives to describe the dynamics of huge classes of spatially heterogeneous semilinear parabolic problems. Each chapter presents the mathematical formulation of the problem, the most important mathematical results available, and proofs of theorems where relevant.
Existence of Large Solutions and Metasolutions. Dynamics. Uniqueness of the Large Solution. Metasolutions Do Arise Everywhere. Bibliography. Index.
Julián López-Gómez, PhD, is a professor in the Department of Applied Mathematics at Universidad Complutense de Madrid, Spain. His research interests include spectral theory of linear operators, theoretical population dynamics in spatial ecology, and nonlinear differential equations and infinite-dimensional nonlinear analysis.
Date de parution : 09-2019
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 74,82 €
Ajouter au panierDate de parution : 10-2015
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 208,65 €
Ajouter au panierThèmes de Metasolutions of Parabolic Equations in Population Dynamics :
Mots-clés :
Unique Positive Solution; Positive Solution; Minimal Positive Solution; Principal Eigenfunction; Parabolic Maximum Principle; Strict Subsolution; Positive Supersolution; Principal Eigenvalue; Compact Subsets; Lim Inf; Bifurcation Diagram; Classical Positive Solutions; Global Attractor; Elliptic Regularity; Order Elliptic Operators; Class C2; Unique Positive Steady State; Implicit Function Theorem; Strict Supersolution; Homogeneous Dirichlet Boundary Conditions; Coexistence State; Priori Bounds; Singular Problem; Large Solution; Non-negative Solution