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Metasolutions of Parabolic Equations in Population Dynamics (Paperback)
Loot Price: R1,970
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Metasolutions of Parabolic Equations in Population Dynamics (Paperback)
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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.
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