Evolution Equations in Scales of Banach Spaces

Download or Read eBook Evolution Equations in Scales of Banach Spaces PDF written by Oliver Caps and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle.
Evolution Equations in Scales of Banach Spaces
Author :
Publisher : Springer Science & Business Media
Total Pages : 310
Release :
ISBN-10 : 9783322800398
ISBN-13 : 3322800393
Rating : 4/5 (98 Downloads)

Book Synopsis Evolution Equations in Scales of Banach Spaces by : Oliver Caps

Book excerpt: The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. Conditions are proved characterizing well-posedness of the linear, time-dependent Cauchy problem in scales of Banach spaces and implying local existence, uniqueness, and regularity of solutions of the quasilinear Cauchy problem. Many applications illustrate the generality of the approach. In particular, using the Fefferman-Phong inequality unifying results on parabolic and hyperbolic equations generalizing classical ones and a unified treatment of Navier-Stokes and Euler equations is described. Assuming only basic knowledge in analysis and functional analysis the book provides all mathematical tools and is aimed for students, graduates, researchers, and lecturers.


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