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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications (Paperback)
Loot Price: R1,964
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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications (Paperback)
Series: Monographs and Surveys in Pure and Applied Mathematics
Expected to ship within 12 - 17 working days
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Providing a basic tool for studying nonlinear problems, Spectral
Theory for Random and Nonautonomous Parabolic Equations and
Applications focuses on the principal spectral theory for general
time-dependent and random parabolic equations and systems. The text
contains many new results and considers existing results from a
fresh perspective. Taking a clear, unified, and self-contained
approach, the authors first develop the abstract general theory in
the framework of weak solutions, before turning to cases of random
and nonautonomous equations. They prove that time dependence and
randomness do not reduce the principal spectrum and Lyapunov
exponents of nonautonomous and random parabolic equations. The book
also addresses classical Faber-Krahn inequalities for elliptic and
time-periodic problems and extends the linear theory for scalar
nonautonomous and random parabolic equations to cooperative
systems. The final chapter presents applications to Kolmogorov
systems of parabolic equations. By thoroughly explaining the
spectral theory for nonautonomous and random linear parabolic
equations, this resource reveals the importance of the theory in
examining nonlinear problems.
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