清楚明确 发表于 2025-3-21 16:27:37

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大火 发表于 2025-3-22 00:04:03

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Herpetologist 发表于 2025-3-22 01:27:21

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vector 发表于 2025-3-22 06:47:11

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Postulate 发表于 2025-3-22 10:57:54

https://doi.org/10.1007/978-3-319-22354-4Explosive Solutions; Gelfand Triples; Generalized Coercivity; Girsanov Theorem on Hilbert; Invariant Mea

AMEND 发表于 2025-3-22 14:26:02

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initiate 发表于 2025-3-22 20:17:50

SPDEs with Locally Monotone Coefficients,In this chapter we will present more general results on the existence and uniqueness of solutions to SPDEs. More precisely, we will replace the standard monotonicity condition and coercivity condition in Chap. . by a local monotonicity condition and generalized coercivity condition respectively. The main references for this chapter are .

thalamus 发表于 2025-3-22 21:17:07

Mild Solutions,This chapter contains a concise introduction to the “semigroup (or mild solution) approach”. One difference to the variational approach is that we do not use a Gelfand triple, but just our Hilbert space .. The main idea is to use the linear part (if there is one) of the drift as a “smoothing device”.

表皮 发表于 2025-3-23 04:09:27

Wei Liu,Michael RöcknerA concise and as self-contained as possible introduction to the ‘variational approach’ of SPDEs.Provides a very detailed introduction to stochastic integration on Hilbert spaces.Includes a complete pr

喷出 发表于 2025-3-23 07:57:04

Textbook 2015 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
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查看完整版本: Titlebook: Stochastic Partial Differential Equations: An Introduction; Wei Liu,Michael Röckner Textbook 2015 Springer International Publishing Switze