Evolution Equations in Scales of Banach Spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
2002
|
| Series: | Teubner-Texte zur Mathematik
140 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (309p) |
| ISBN: | 9783322800398 9783519003762 |
| ISSN: | 0138-502X |
| DOI: | 10.1007/978-3-322-80039-8 |
Staff View
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-322-80039-8 |
| format | Electronic eBook |
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| isbn | 9783322800398 9783519003762 |
| issn | 0138-502X |
| language | English |
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| publishDate | 2002 |
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| spelling | Caps, Oliver Verfasser aut Evolution Equations in Scales of Banach Spaces by Oliver Caps Wiesbaden Vieweg+Teubner Verlag 2002 1 Online-Ressource (309p) txt rdacontent c rdamedia cr rdacarrier Teubner-Texte zur Mathematik 140 0138-502X 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 Mathematics Global analysis (Mathematics) Analysis Mathematik Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Evolutionsgleichung (DE-588)4129061-6 s 2\p DE-604 Cauchy-Anfangswertproblem (DE-588)4147404-1 s 3\p DE-604 Banach-Raum (DE-588)4004402-6 s 4\p DE-604 https://doi.org/10.1007/978-3-322-80039-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Caps, Oliver Evolution Equations in Scales of Banach Spaces Mathematics Global analysis (Mathematics) Analysis Mathematik Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Banach-Raum (DE-588)4004402-6 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| subject_GND | (DE-588)4147404-1 (DE-588)4004402-6 (DE-588)4129061-6 (DE-588)4123623-3 |
| title | Evolution Equations in Scales of Banach Spaces |
| title_auth | Evolution Equations in Scales of Banach Spaces |
| title_exact_search | Evolution Equations in Scales of Banach Spaces |
| title_full | Evolution Equations in Scales of Banach Spaces by Oliver Caps |
| title_fullStr | Evolution Equations in Scales of Banach Spaces by Oliver Caps |
| title_full_unstemmed | Evolution Equations in Scales of Banach Spaces by Oliver Caps |
| title_short | Evolution Equations in Scales of Banach Spaces |
| title_sort | evolution equations in scales of banach spaces |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Banach-Raum (DE-588)4004402-6 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Cauchy-Anfangswertproblem Banach-Raum Evolutionsgleichung Lehrbuch |
| url | https://doi.org/10.1007/978-3-322-80039-8 |
| work_keys_str_mv | AT capsoliver evolutionequationsinscalesofbanachspaces |