Published by American Mathematical Society, 2017
ISBN 10: 1470437252 ISBN 13: 9781470437251
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Published by American Mathematical Society, 2007
ISBN 10: 0821840592 ISBN 13: 9780821840597
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Add to basketSoftcover. Condition: ex library-good. Contemporary Mathematics 429. viii, 278 p. 26 cm. B&w frontispiece portrait. Ex library with labels on spine and front, ink stamps on top edge and title. Emphasis Year 2004-2005 at Northwestern U., Evanston, Illinois.
Published by American Mathematical Society
Language: English
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Add to basketXV, 396 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch.
Published by Universities Press, 2017
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Add to basketSoft cover. Condition: New. The general area of stochastic PDEs is interesting to mathematicians because it contains an enormous number of challenging open problems. There is also a great deal of interest in this topic because it has deep applications in disciplines that range from applied mathematics, statistical mechanics, and theoretical physics, to theoretical neuroscience, theory of complex chemical reactions [including polymer science], fluid dynamics, and mathematical finance. The stochastic PDEs that are studied in this book are similar to the familiar PDE for heat in a thin rod, but with the additional restriction that the external forcing density is a two-parameter stochastic process, or what is more commonly the case, the forcing is a random noise, also known as a generalized random field. At several points in the lectures, there are examples that highlight the phenomenon that stochastic PDEs are not a subset of PDEs. In fact, the introduction of noise in some partial differential equations can bring about not a small perturbation, but truly fundamental changes to the system that the underlying PDE is attempting to describe. The topics covered include a brief introduction to the stochastic heat equation, structure theory for the linear stochastic heat equation, and an in-depth look at intermittency properties of the solution to semilinear stochastic heat equations. Specific topics include stochastic integrals à la Norbert Wiener, an infinite-dimensional Itô-type stochastic integral, an example of a parabolic Anderson model, and intermittency fronts. There are many possible approaches to stochastic PDEs. The selection of topics and techniques presented here are informed by the guiding example of the stochastic heat equation. (jacket).
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Published by Amer Mathematical Society, 2007
ISBN 10: 0821840592 ISBN 13: 9780821840597
Language: English
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Published by European Mathematical Society, 2018
ISBN 10: 3037191864 ISBN 13: 9783037191866
Language: English
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Published by The Orient Blackswan, 2017
ISBN 10: 1470437252 ISBN 13: 9781470437251
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Published by World Scientific Publishing Company, 2022
ISBN 10: 9811264457 ISBN 13: 9789811264450
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Published by European Mathematical Society, 2018
ISBN 10: 3037191864 ISBN 13: 9783037191866
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Published by World Scientific Pub Co Inc, 2022
ISBN 10: 9811264457 ISBN 13: 9789811264450
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