Metasolutions of Parabolic Equations in Population Dynamics

Julián López-Gómez

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English

Chapman & Hall/CRC
23 October 2015

Differential calculus & equations; Applied mathematics

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.

By: Julián López-Gómez
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Dimensions: Height: 234mm, Width: 156mm, Spine: 25mm
Weight: 657g
ISBN: 9781482238983
ISBN 10: 1482238985
Pages: 378
Publication Date: 23 October 2015
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for Metasolutions of Parabolic Equations in Population Dynamics

Although the material discussed appears to be fairly technical, it is presented with care and many supportive details. The book features plenty of figures and illustrations and is inviting to advanced graduate students and non-expert mathematicians in the field. The many detailed references to earlier and related work make the book an attractive reference tool beyond the actual scope of the presentation. - Thomas Hagen, Mathematical Reviews, May 2017