Evolution Equations in Scales of Banach Spaces /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Wiesbaden :
Vieweg+Teubner Verlag,
2002.
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| Series: | Teubner-Texte zur Mathematik ;
140. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (309 pages) |
| ISBN: | 9783322800398 (electronic bk.) 3322800393 (electronic bk.) |