Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

By Wenxian Shen and Janusz Mierczynski

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 036738759X
• ISBN13: 9780367387594
• Release Date: September 2019
• Publisher: CRC Press
• Length: 336 Pages
• Weight: 1.05 lbs.
• Dimensions: 0.8" x 6.1" x 9.1"