Description
Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications
Monographs and Surveys in Pure and Applied Mathematics Series
Authors: Mierczynski Janusz, Shen Wenxian
Language: English
Subjects for Spectral Theory for Random and Nonautonomous Parabolic...:
Keywords
Parabolic Equations; Exponential Separation; Ergodic Invariant Measure; Lim Inf; Robin Boundary Condition; Principal Eigenvalue; Principal Eigenfunction; Nondivergence Form; Tn Sn; Mild Solutions; Compact Flow; Weak Solution; Robin Case; M1 C4; Boundary Condition Case; Dirichlet Boundary Conditions; Uniform Persistence; Open Compact Topology; Banach Space; Positive Weak Solution; Multiplicative Ergodic Theorem; Global Attractor; Kolmogorov Type; Borel Set; Satisfies Property
Approximative price 74.82 €
In Print (Delivery period: 14 days).
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the book of Mierczynski Janusz, Shen Wenxian
Publication date: 09-2019
· 15.6x23.4 cm · Paperback
Approximative price 184.47 €
Subject to availability at the publisher.
Add to cart the book of Mierczynski Janusz, Shen Wenxian
Publication date: 04-2008
316 p. · 15.6x23.4 cm · Hardback
Description
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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.
