Stochastic Partial Differential Equations: An Introduction

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9783319223537: Stochastic Partial Differential Equations: An Introduction
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Liu, Wei
Edité par Springer (2015)
ISBN 10 : 3319223534 ISBN 13 : 9783319223537
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Description du livre Springer, 2015. Paperback. État : New. Dispatched, from the UK, within 48 hours of ordering. This book is in Brand New condition. N° de réf. du libraire CHL1732662

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Liu Wei, Liu Wei
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Description du livre État : New. N° de réf. du libraire 24036241-n

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Michael Röckner; Wei Liu
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Description du livre Springer, 2015. Paperback. État : New. book. N° de réf. du libraire 3319223534

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Wei Liu, Michael Rockner
Edité par Springer International Publishing AG 2015-10-07, Cham (2015)
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Description du livre Springer International Publishing AG 2015-10-07, Cham, 2015. paperback. État : New. N° de réf. du libraire 9783319223537

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Wei Liu, Michael Rockner
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Description du livre Springer International Publishing AG. Paperback. État : new. BRAND NEW, Stochastic Partial Differential Equations: An Introduction: 2015, Wei Liu, Michael Rockner, 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 exa mple, 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 libraire B9783319223537

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Liu, Wei / Röckner, Michael
ISBN 10 : 3319223534 ISBN 13 : 9783319223537
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Description du livre État : New. Publisher/Verlag: Springer, Berlin | 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. | Motivation, Aims and Examples.- Stochastic Integral in Hilbert Spaces.- SDEs in Finite Dimensions.- SDEs in Infinite Dimensions and Applications to SPDEs.- SPDEs with Locally Monotone Coefficients.- Mild Solutions. | Format: Paperback | 521 gr | 235x155x11 mm | 266 pp. N° de réf. du libraire K9783319223537

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Wei Liu
ISBN 10 : 3319223534 ISBN 13 : 9783319223537
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Description du livre Paperback. État : New. Not Signed; 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-ma. book. N° de réf. du libraire ria9783319223537_rkm

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Liu, Wei, R?ckner, Michael
Edité par Springer (2015)
ISBN 10 : 3319223534 ISBN 13 : 9783319223537
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Description du livre Springer, 2015. État : New. Series: Universitext. Num Pages: 266 pages, biography. BIC Classification: PBKJ; PBT; PBUD; PBWH. Category: (P) Professional & Vocational. Dimension: 159 x 242 x 13. Weight in Grams: 524. . 2015. 1st ed. 2015. Paperback. . . . . . N° de réf. du libraire V9783319223537

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Wei Liu
Edité par Springer International Publishing AG (2015)
ISBN 10 : 3319223534 ISBN 13 : 9783319223537
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Description du livre Springer International Publishing AG, 2015. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire GB-9783319223537

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Wei Liu, Michael Rockner
Edité par Springer International Publishing AG, Switzerland (2015)
ISBN 10 : 3319223534 ISBN 13 : 9783319223537
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Description du livre Springer International Publishing AG, Switzerland, 2015. Paperback. État : New. 235 x 155 mm. Language: English . Brand New Book. 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. N° de réf. du libraire SPR9783319223537

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