Neuer funktional-analytischer Zugang
"synopsis" may belong to another edition of this title.
Dr. Oliver Caps, Universität Mainz
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.
"About this title" may belong to another edition of this title.
Seller: Schwarzwald-Buchversand, Freiburg, Germany
Condition: gebraucht. englische Ausgabe, 309 S., broschiert, guter Zustand. Versand mit der Deutschen Post oder DHL. Rechnung liegt bei. Seller Inventory # 43794-5-1
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 19195598-n
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Paperback. Condition: new. Paperback. 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. This setting is not adapted very well to the study of many pseudo differential and differential equations because these operators are naturally not given as closed, unbounded operators in one Banach space but as continuous opera tors in a scale of function spaces. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783519003762
Seller: Book Broker, Berlin, Germany
Condition: Sehr gut. 312 Seiten Alle Bücher & Medienartikel von Book Broker sind stets in gutem & sehr gutem gebrauchsfähigen Zustand. Dieser Artikel weist folgende Merkmale auf: Helle/saubere Seiten in fester Bindung. Sprache: Englisch Gewicht in Gramm: 540 Taschenbuch, Größe: 16.8 x 1.8 x 23.8 cm Softcover reprint of the original 1st ed. 2002. Seller Inventory # 660995893
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: As New. Unread book in perfect condition. Seller Inventory # 19195598
Seller: Revaluation Books, Exeter, United Kingdom
Paperback. Condition: Brand New. 309 pages. 9.37x6.61x0.63 inches. In Stock. This item is printed on demand. Seller Inventory # __3519003767
Quantity: 1 available
Seller: Chiron Media, Wallingford, United Kingdom
PF. Condition: New. Seller Inventory # 6666-IUK-9783519003762
Quantity: 10 available
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. The usual functional analytic methods for studying evolution equations are formu lated within the setting of unbounded, closed operators in one Banach space. This setting is not adapted very well to the study of many pseudo differential and differential equations because these operators are naturally not given as closed, unbounded operators in one Banach space but as continuous opera tors in a scale of function spaces. Thus, applications within the setting of unbounded, closed operators require a considerable amount of additional work because one has to construct suitable closed realizations of these operators. This choice of closed realizations is technically complicated even for simple applications. The main feature of the new functional analytic approach of the book is to study the operators in scales of Banach spaces that are constructed by simple reference operators. This is a natural setting for many operators acting in scales of function spaces. The operators are only expected to respect the scale and to satisfy certain inequalities but we can avoid completely the choice of any closed realization of these operators which is of great importance in applications. We use the mapping properties of the reference operators to prove sufficient conditions for well-posedness of linear and quasilinear Cauchy problems. In the linear, time-dependent case these conditions are shown to characterize well-posedness. A similar result in the standard setting (i. e. 309 pp. Englisch. Seller Inventory # 9783519003762
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Condition: New. In English. Seller Inventory # ria9783519003762_new
Quantity: Over 20 available
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. 2002. Paperback. . . . . . Seller Inventory # V9783519003762