ENGLISH

Spectral theory for random and nonautonomous parabolic equations and applications

By Janusz Mierczynski , Wenxian Shen

Book information

Publisher
CRC Press
Year
2008
ISBN
1584888954, 9781584888956, 9781584888963
LCC
QA377 .M514 2008
Open Library ID
OL12313859M
Language
english
Format
PDF
Filesize
2 MB (1605368 bytes)
Series
Chapman & Hall/CRC monographs and surveys in pure and applied mathematics 139
Edition
1
Pages
332\332
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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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