Spectral Theory for Random and Nonautonomous Parabolic Equations and - Application

Zusatztext ? 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 Informationen zum Autor Mierczynski, Janusz; Shen, Wenxian Klappentext 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. Zusammenfassung Focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. This book addresses Faber-Krahn inequalities for elliptic and time-periodic problems and extends the linear theory for scalar nonautonomous and random parabolic equations to cooperative systems. Inhaltsverzeichnis Introduction. Fundamental Properties in the General Setting. Spectral Theory in the General Setting. Spectral Theory in Nonautonomous and Random Cases. Influence of Spatial-Temporal Variations and the Shape of Domain. Cooperative Systems of Parabolic Equations. Applications to Kolmogorov Systems of Parabolic Equations. References. Index.

Product details

• Authors: Mierczynski Janusz, Mierczynski Shen Janusz, Janusz Mierczynski, Janusz (Institute of Math & Computer Mierczynski, Janusz Shen Mierczynski, Mierczynski Janusz, Wenxian Shen, Wenxian (Auburn University Shen, Shen Wenxian
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 24.03.2008
• EAN: 9781584888956
• ISBN: 978-1-58488-895-6
• No. of pages: 336
• Series: Monographs and Surveys in Pure and Applied Mathematics; Monographs and Surveys in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms