Singular Random Dynamics
Cetraro, Italy 2016
Published on 12. November 2019
IX, 316 pages
978-3-030-29545-5 (ISBN)
Description
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 field, which lies at the interface between analysis and probability.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
IX, 316 p. 2 illus.
File size
3,96 MB
ISBN-13
978-3-030-29545-5 (9783030295455)
DOI
10.1007/978-3-030-29545-5
Schweitzer Classification
Other editions
Additional editions
Massimiliano Gubinelli | Panagiotis E. Souganidis | Nikolay Tzvetkov
Singular Random Dynamics
Cetraro, Italy 2016
Book
11/2019
1st Edition
Springer
€53.49
Shipment within 7-9 days
Content
- Introduction. - Lectures on Energy Solutions for the Stationary KPZ Equation. - Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence. - Random Data Wave Equations.
