Evolution Equations in Scales of Banach Spaces Paperback - 2002
by Oliver Caps
From the rear cover
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.
Details
- Title Evolution Equations in Scales of Banach Spaces
- Author Oliver Caps
- Binding Paperback
- Pages 309
- Volumes 1
- Language ENG
- Publisher Vieweg+teubner Verlag
- Date 2002-07-15
- ISBN 9783519003762 / 3519003767
- Weight 1.1 lbs (0.50 kg)
- Dimensions 9.61 x 6.69 x 0.65 in (24.41 x 16.99 x 1.65 cm)
- Dewey Decimal Code 515
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Evolution Equations in Scales of Banach Spaces
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Evolution Equations in Scales of Banach Spaces (Teubner-Texte Zur Mathematik)
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Evolution Equations in Scales of Banach Spaces (Teubner-Texte zur Mathematik, 140)
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