Stochastic partial differential equations and related fields :
نام عام مواد
[Book]
ساير اطلاعات عنواني
in honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016 /
نام نخستين پديدآور
Andreas Eberle, Martin Grothaus, Walter Hoh, Moritz Kassmann, Wilhelm Stannat, Gerald Trutnau, editors.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Springer,
تاریخ نشرو بخش و غیره
2018.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xx, 574 pages) :
ساير جزييات
illustrations
فروست
عنوان فروست
Springer proceedings in mathematics & statistics,
مشخصه جلد
volume 229
شاپا ي ISSN فروست
2194-1009 ;
يادداشت کلی
متن يادداشت
Includes author index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Intro; Preface; Acknowledgements; Contents; Organization; List of Participants; Part I Longer Contributions; Stationary Fokker-Planck-Kolmogorov Equations; 1 Introduction; 2 The Case of a Non-differentiable Diffusion Matrix: Existence and Higher Integrability of Densities; 3 The Case of a Sobolev Differentiable Diffusion Matrix; 4 Harnack's Inequality and Lower and Upper Bounds; 5 Existence of Probability Solutions; 6 Uniqueness Problems; 7 The Infinite-Dimensional Case; References; Liouville Property of Harmonic Functions of Finite Energy for Dirichlet Forms; 1 Introduction
متن يادداشت
2.2 Well-Posedness by Noise for Stochastic Inhomogeneous Scalar Conservation Laws2.3 Regularization by Noise for Stochastic Scalar Conservation Laws; 2.4 Open Interfaces and Porous Media Equations; References; An Introduction to Singular SPDEs; 1 Introduction; 2 Paraproducts; 3 Paracontrolled Analysis; 4 Ambiguities and Renormalisation; 5 Higher Order Expansions; 6 Weak Universality; 7 Anderson Hamiltonian; 8 Singular Martingale Problem; References; Fokker-Planck Equations in Hilbert Spaces; 1 Introduction and Setting of the Problem; 2 Preliminaries on the Ornstein-Uhlenbeck Semigroup
متن يادداشت
3 Existence3.1 Basic Assumptions; 3.2 Tightness; 3.3 Other Assumptions; 4 Uniqueness; 4.1 The Rank Condition; 4.2 The Semigroup Associated to a Non Autonomous Problem; 4.3 The Case When C-1 is Bounded; 4.4 The Case When Tr C
متن يادداشت
6 Generalisation to Stochastic PDEsReferences; SPDEs with Volterra Noise; 1 Introduction; 2 SPDEs with Additive Volterra Noise; 3 SPDEs with Multiplicative Gaussian Volterra Noise; References; Hitting Probabilities for Systems of Stochastic PDEs: An Overview; 1 Introduction; 2 Benchmark Results for Gaussian Random Fields; 2.1 First Example: The Brownian Sheet; 2.2 Anisotropic Gaussian Random Fields; 2.3 Funaki's Random String; 3 Hitting Probabilities for Non-Gaussian Random Fields; 3.1 Systems of Nonlinear Wave Equations in Spatial Dimension 1; 3.2 Other Non-linear Systems of SPDEs
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This Festschrift contains six research surveys and thirty-three shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10-14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments. Each article introduces a well-described field related to Stochastic Partial Differential Equations and Stochastic Analysis in general. In particular, the longer surveys focus on Dirichlet forms and Potential theory, the analysis of Kolmogorov operators, Fokker-Planck equations in Hilbert spaces, the theory of variational solutions to stochastic partial differential equations, singular stochastic partial differential equations and their applications in mathematical physics, as well as on the theory of regularity structures and paracontrolled distributions. The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.--