Metasolutions of Parabolic Equations in Population Dynamics

ISBN-13: 9780367377311 / Angielski / Miękka / 2019 / 358 str.

Julian Lopez-Gomez

Opis

This book explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. 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.

Spis treści

Existence of Large Solutions and Metasolutions. Dynamics. Uniqueness of the Large Solution. Metasolutions Do Arise Everywhere. Bibliography. Index.

O autorze

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.