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Titlebook: Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients; Haesung Lee,Wilhelm Stannat,Gerald Trutnau Book 202

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發(fā)表于 2025-3-21 17:07:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients
影響因子2023Haesung Lee,Wilhelm Stannat,Gerald Trutnau
視頻videohttp://file.papertrans.cn/157/156554/156554.mp4
發(fā)行地址Presents local and global properties of stochastic differential equations under minimal assumptions (state of the art).Shows the missing link between regularity theory of partial differential equation
學(xué)科分類SpringerBriefs in Probability and Mathematical Statistics
圖書封面Titlebook: Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients;  Haesung Lee,Wilhelm Stannat,Gerald Trutnau Book 202
影響因子This book provides analytic tools to describe local and global behavior of solutions to It?-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift.?Regularity theory of partial differential equations is applied to construct such solutions and to obtain strong Feller properties, irreducibility, Krylov-type estimates, moment inequalities, various types of non-explosion criteria, and long time behavior, e.g., transience, recurrence, and convergence to stationarity.?.The approach is based on the realization of the transition semigroup associated with the solution of a stochastic differential equation as a strongly continuous semigroup in the?.L.p.-space with respect to a weight that plays the role of a sub-stationary or stationary density. This way we obtain in particular a rigorous functional analytic description of the generator of the solution of a stochastic differential equation and its full domain. The existence of such a weight is shown under broad assumptions on the coefficients. A remarkable fact is that although the weight may not be unique, many important results are independent of it.?.Given such a weight and semigr
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書目名稱Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients影響因子(影響力)




書目名稱Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients影響因子(影響力)學(xué)科排名




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書目名稱Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients網(wǎng)絡(luò)公開度學(xué)科排名




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書目名稱Analytic Theory of It?-Stochastic Differential Equations with Non-smooth Coefficients讀者反饋學(xué)科排名




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https://doi.org/10.1007/978-981-19-3831-3It?-stochastic differential equations; Regularity theory for elliptic partial differential equations;
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978-981-19-3830-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Discrete Mathematics Using a ComputerIn this book, we studied the existence, uniqueness and stability of solutions to It? SDEs with non-smooth coefficients, using functional analysis, PDE-techniques and stochastic analysis.
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發(fā)表于 2025-3-23 02:13:40 | 只看該作者
Stochastic Differential Equations,In Sect. 3.1 we show that the regularized semigroup (..). from Theorem . and (.) determines the transition semigroup of a Hunt process (..). with nice sample paths and that (..). determines its resolvent.
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Conclusion and Outlook,In this book, we studied the existence, uniqueness and stability of solutions to It? SDEs with non-smooth coefficients, using functional analysis, PDE-techniques and stochastic analysis.
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