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The Cauchy Problem for Higher Order Abstract Differential Equations (Lecture Notes in Mathematics, 1701, Band 1701) - Softcover

Xiao, Ti-Jun; Liang, Jin

 
9783540652380: The Cauchy Problem for Higher Order Abstract Differential Equations (Lecture Notes in Mathematics, 1701, Band 1701)
Softcover
ISBN 10: 3540652388 ISBN 13: 9783540652380
Verlag: Springer, 2008

Inhaltsangabe

The main purpose of this book is to present the basic theory and some recent de­ velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans­ lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.

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Über die Autorin bzw. den Autor

Jin Liang, PhD of Applied Mathematics from Peking University, Professor in School of Mathematical Science, Tongji University. Her research interests focus on applications of PDE, especially on financial mathematics. She published more than 100 academic papers,  including pricing financial derivatives, measuring credit risks, financial calculations, carbon reduction controlings etc. She is also a well-known popular science writer in China.Bei Hu, Professor in University of Notre Dame, Department of Applied and Computational Mathematics and Statistics, is an expert in PDE and its applications. He published over 100 papers in a variety of aspects of PDE applications including Blowup Theory, Mathematical Biology, and Mathematical finance. In the past at the University of Notre Dame, he served as a department chair in the Department of Mathematics, department chair in the Department of Applied and Computational Mathematics and Statistics, Associate Dean in the College of Science. He also serves on the editorial board of several journals.

Von der hinteren Coverseite

The main purpose of this book is to present the basic theory and some recent de­ velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans­ lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540652388
ISBN 13 
9783540652380
Einband
Taschenbuch
Anzahl der Seiten
314
Kontakt zum Hersteller
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Verantwortliche Person
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