Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications: 139 (Monographs and Surveys in Pure and Applied Mathematics) - Image 1

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CRC Press Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications: 139 (Monographs and Surveys in Pure and Applied Mathematics)

Name: Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications: 139 (Monographs and Surveys in Pure and Applied Mathematics)
Brand: CRC Press
Price: 63.14 GBP
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Differential Equations

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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. Review ... a clear and interesting account of the principal spectral theory for general time-dependent and random linear parabolic equations and systems. It contains many new results and puts some already known results in a new framework. ...--Krystyna Twardowksa, Mathematical Reviews, Issue 2010g About the Author Mierczynski, Janusz; Shen, Wenxian

Product Specifications

Brand: CRC Press
Format: paperback
ASIN: 036738759X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 05 September 2019
Listed Since: 08 August 2019

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CRC Press Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications: 139 (Monographs and Surveys in Pure and Applied Mathematics)

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