López-Gómez Metasolutions of Parabolic Equations in Population Dynamics

Erscheinungsjahr 2015
ISBN: 978-1-4822-3899-0
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 378 Seiten

Metasolutions of Parabolic Equations in Population Dynamics is entirely devoted to the study of the effects of the spatial heterogeneities on the dynamics of large classes of parabolic equations of great interest in population dynamics. The book contains a series of optimal uniqueness results about large solutions of semilinear elliptic equations and provides non-uniqueness results for a general class of superlinear indefinite problems modeling the effects of strategic alliances in highly polluted environments. Each chapter includes a presentation of the problem, its mathematical formulation, the most important mathematical results available, and their proofs in a completely self-contained way.

Zielgruppe

Graduate Students and Researchers in Differential Equations. Researchers in Population Dynamics.

Autoren/Hrsg.

López-Gómez, Julián

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface. Introduction: Preliminaries. The Classic Logistic Equation. Uniform A Priori Bounds in O. Classical and Large Solutions. Metasolutions. Uniqueness of Large Solutions and Metasolutions. Approximation of Classical Solutions by Metasolutions. Dynamics of Superlinear Indefinite Problems. A Multiplicity Result for a Superlinear Indefinite Problem. The Porous Media Equation. Emergence of the Metasolutions in Reaction Diffusion Systems.