Articles liés à Stochastic Partial Differential Equations: An Introduction
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- ÉditeurSpringer
- Date d'édition2015
- ISBN 10 3319223534
- ISBN 13 9783319223537
- ReliurePaperback
- Numéro d'édition1
- Nombre de pages272
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Stochastic Partial Differential Equations: An Introduction
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Springer International Publishing Okt 2015
(2015)
ISBN 10 : 3319223534
ISBN 13 : 9783319223537
Neuf
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Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability theory with several wide ranging applications. Many types of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. The theory of SPDEs is based both on the theory of deterministic partial differential equations, as well as on modern stochastic analysis.Whilst this volume mainly follows the 'variational approach', it also contains a short account on the 'semigroup (or mild solution) approach'. In particular, the volume contains a complete presentation of the main existence and uniqueness results in the case of locally monotone coefficients. Various types of generalized coercivity conditions are shown to guarantee non-explosion, but also a systematic approach to treat SPDEs with explosion in finite time is developed. It is, so far, the only book where the latter and the 'locally monotone case' is presented in a detailed and complete way for SPDEs. The extension to this more general framework for SPDEs, for example, in comparison to the well-known case of globally monotone coefficients, substantially widens the applicability of the results. In addition, it leads to a unified approach and to simplified proofs in many classical examples. These include a large number of SPDEs not covered by the 'globally monotone case', such as, for example, stochastic Burgers or stochastic 2D and 3D Navier-Stokes equations, stochastic Cahn-Hilliard equations and stochastic surface growth models.To keep the book self-contained and prerequisites low, necessary results about SDEs in finite dimensions are also included with complete proofs as well as a chapter on stochastic integration on Hilbert spaces. Further fundamentals (for example, a detailed account on the Yamada-Watanabe theorem in infinite dimensions) used in the book have added proofs in the appendix. The book can be used as a textbook for a one-year graduate course. 272 pp. Englisch. N° de réf. du vendeur 9783319223537
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Stochastic Partial Differential Equations: An Introduction (Universitext)
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ISBN 10 : 3319223534
ISBN 13 : 9783319223537
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Stochastic Partial Differential Equations: An Introduction (Universitext)
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Stochastic Partial Differential Equations: An Introduction (Universitext)
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Description du livre Etat : New. pp. 242. N° de réf. du vendeur 26372633655
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Stochastic Partial Differential Equations: An Introduction
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Stochastic Partial Differential Equations: An Introduction
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Stochastic Partial Differential Equations: An Introduction (Universitext)
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Description du livre Etat : New. pp. 242. N° de réf. du vendeur 373444584
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Stochastic Partial Differential Equations: An Introduction (Universitext)
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ISBN 13 : 9783319223537
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Stochastic Partial Differential Equations: An Introduction
Edité par
Springer International Publishing
(2015)
ISBN 10 : 3319223534
ISBN 13 : 9783319223537
Neuf
Taschenbuch
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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability theory with several wide ranging applications. Many types of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. The theory of SPDEs is based both on the theory of deterministic partial differential equations, as well as on modern stochastic analysis.Whilst this volume mainly follows the 'variational approach', it also contains a short account on the 'semigroup (or mild solution) approach'. In particular, the volume contains a complete presentation of the main existence and uniqueness results in the case of locally monotone coefficients. Various types of generalized coercivity conditions are shown to guarantee non-explosion, but also a systematic approach to treat SPDEs with explosion in finite time is developed. It is, so far, the only book where the latter and the 'locally monotone case' is presented in a detailed and complete way for SPDEs. The extension to this more general framework for SPDEs, for example, in comparison to the well-known case of globally monotone coefficients, substantially widens the applicability of the results. In addition, it leads to a unified approach and to simplified proofs in many classical examples. These include a large number of SPDEs not covered by the 'globally monotone case', such as, for example, stochastic Burgers or stochastic 2D and 3D Navier-Stokes equations, stochastic Cahn-Hilliard equations and stochastic surface growth models.To keep the book self-contained and prerequisites low, necessary results about SDEs in finite dimensions are also included with complete proofs as well as a chapter on stochastic integration on Hilbert spaces. Further fundamentals (for example, a detailed account on the Yamada-Watanabe theorem in infinite dimensions) used in the book have added proofs in the appendix. The book can be used as a textbook for a one-year graduate course. N° de réf. du vendeur 9783319223537
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Stochastic Partial Differential Equations: An Introduction (Universitext)
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Springer
(2015)
ISBN 10 : 3319223534
ISBN 13 : 9783319223537
Neuf
Paperback
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Description du livre Paperback. Etat : new. New. Fast Shipping and good customer service. N° de réf. du vendeur Holz_New_3319223534
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