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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Paperback

Series: Monographs and Surveys in Pure and Applied Mathematics, Book 139

General MathematicsProbability & Statistics

ISBN10: 036738759X
ISBN13: 9780367387594
Publisher: Crc Pr Inc
Published: Sep 5 2019
Pages: 336
Weight: 1.05
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
Containing many new results and considering existing results from a fresh perspective, this clear, unified, and self-contained book focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The authors prove that time dependence and randomness do not reduce the principal spectrum and Lyapunov exponents of nonautonomous and random parabolic equations. They also address classical Faber-Krahn inequalities for elliptic and time-periodic problems and extend the linear theory for scalar nonautonomous and random parabolic equations to cooperative systems. The final chapter presents applications to Kolmogorov systems of parabolic equations.

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