Evolution Equations in Scales of Banach Spaces

By Oliver Caps

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.

• Format: Paperback
• Language: English
• ISBN: 3519003767
• ISBN13: 9783519003762
• Release Date: July 2002
• Publisher: Vieweg+teubner Verlag
• Length: 309 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.7" x 6.7" x 9.6"