Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications Monographs and Surveys in Pure and Applied Mathematics Series
Auteurs : Mierczynski Janusz, Shen Wenxian
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.
Date de parution : 09-2019
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 74,82 €
Ajouter au panierDate de parution : 04-2008
Ouvrage de 316 p.
15.6x23.4 cm
Thèmes de Spectral Theory for Random and Nonautonomous Parabolic... :
Mots-clés :
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