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Titlebook: Singular Random Dynamics; Cetraro, Italy 2016 Massimiliano Gubinelli,Panagiotis E. Souganidis,Ni Book 2019 Springer Nature Switzerland AG 2

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书目名称Singular Random Dynamics
副标题Cetraro, Italy 2016
编辑Massimiliano Gubinelli,Panagiotis E. Souganidis,Ni
视频videohttp://file.papertrans.cn/868/867905/867905.mp4
概述Presents advanced techniques for the KPZ equation and a wide bibliography on singular SPDEs.IIncludes novel results for dispersive equations made possible by randomizing initial conditions.Offers a un
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Singular Random Dynamics; Cetraro, Italy 2016 Massimiliano Gubinelli,Panagiotis E. Souganidis,Ni Book 2019 Springer Nature Switzerland AG 2
描述.Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations. This subject has recently attracted a great deal of attention, partly as a consequence of Martin Hairer‘s contributions and in particular his creation of a theory of regularity structures for SPDEs, for which he was awarded the Fields Medal in 2014. .The text comprises three lectures covering: the theory of stochastic Hamilton–Jacobi equations, one of the most intriguing and rich new chapters of this subject; singular SPDEs, which are at the cutting edge of innovation in the field following the breakthroughs of regularity structures and related theories, with the KPZ equation as a central example; and the study of dispersive equations with random initial conditions, which gives new insights into classical problems and at the same timeprovides a surprising parallel to the theory of singular SPDEs, viewed from many different perspectives. .These notes are aimed at graduate students and researchers who want to familiarize themselves with this new
出版日期Book 2019
关键词35R60,37L50,60H15,35KXX,35LXX,35QXX,60HXX; ; Dispersive Equations; Hamilton-Jacobi Equations; KPZ Equati
版次1
doihttps://doi.org/10.1007/978-3-030-29545-5
isbn_softcover978-3-030-29544-8
isbn_ebook978-3-030-29545-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with e weak solutions are respectively the viscosity and entropy/kinetic solutions. The main results are the well-posedness and qualitative properties of the solutions. Some concrete applications are also discussed.
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Lectures on Energy Solutions for the Stationary KPZ Equation,26 August 2016 in Cetraro, Italy. The goal of these lectures is to introduce the concept of . for the Kadar–Parisi–Zhang equation and to discuss the application of this notion of solution to the analysis of the scaling limit of certain weakly-asymmetric growth processes.
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Random Data Wave Equations,quation, the nonlinear wave or the nonlinear Schrödinger equations) in order to prove well-posedness in low regularity Sobolev spaces. By well-posedness in low regularity Sobolev spaces we mean that less regularity than the one imposed by the energy methods is required (the energy methods do not exp
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Franco Flandoli,Massimiliano Gubinelli,Martin Hairerped in popularity relatively early in the growth of modern tourism and, in some cases, have suffered relative decline in the face of competition from warmer alternatives. The Isle of Man, the Channel Islands, and the Baltic islands of Bornholm, Gotland and the Ålands are examples of cold water islan
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Massimiliano Gubinelliped in popularity relatively early in the growth of modern tourism and, in some cases, have suffered relative decline in the face of competition from warmer alternatives. The Isle of Man, the Channel Islands, and the Baltic islands of Bornholm, Gotland and the Ålands are examples of cold water islan
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