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In den WarenkorbZustand: New. pp. 242.
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Verlag: Springer International Publishing AG, Cham, 2015
ISBN 10: 3319223534 ISBN 13: 9783319223537
Sprache: Englisch
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In den WarenkorbPaperback. Zustand: new. Paperback. 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. This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type. The theory of SPDEs is based both on the theory of deterministic partial differential equations, as well as on modern stochastic analysis. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Verlag: Springer International Publishing, 2015
ISBN 10: 3319223534 ISBN 13: 9783319223537
Sprache: Englisch
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In den WarenkorbPaperback. Zustand: Brand New. 266 pages. 9.00x6.00x0.75 inches. In Stock.