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Talagrand concentration inequalities for stochastic partial differential equations
Stochastics and Partial Differential Equations: Analysis and Computations, 2017One way to define the concentration of measure phenomenon is via Talagrand inequalities, also called transportation-information inequalities. That is, a comparison of the Wasserstein distance from the given measure to any other absolutely continuous ...
D. Khoshnevisan, Andrey Sarantsev
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Mathematical Control Theory for Stochastic Partial Differential Equations
Probability Theory and Stochastic Modelling, 2021Qi Lü, Xu Zhang
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Stochastic Differential Equations, Backward SDEs, Partial Differential Equations
2014This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics.
Pardoux, Etienne, Răşcanu, Aurel
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Adaptive Concepts for Stochastic Partial Differential Equations
Journal of Scientific Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreas Prohl, Christian Schellnegger
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Stochastic Partial Differential Equations
2012A brief discussion on the relevance of stochastic partial differential equations (SPDEs) in Sect. 9.1 is followed by a review of the type of SPDEs studied in the mathematical literature (Sect. 9.2). Section 9.3 shows that SPDEs can be solved by the methods in Chaps. 7 and 8 via time and space discretization.
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Stochastic Partial Differential Equations in Fluid Mechanics
Lecture notes in mathematics, 2023F. Flandoli, Eliseo Luongo
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Exponential moments for numerical approximations of stochastic partial differential equations
Stochastics and Partial Differential Equations: Analysis and Computations, 2016Stochastic partial differential equations (SPDEs) have become a crucial ingredient in a number of models from economics and the natural sciences. Many SPDEs that appear in such applications include non-globally monotone nonlinearities. Solutions of SPDEs
Arnulf Jentzen, Primož Pušnik
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Stochastic Partial Differential Equations
2016So far, we have discussed discrete interface models. Taking their (mesoscopic) continuum limit, as a time evolution of interfaces or some other related physical order parameters, one would expect to obtain stochastic partial differential equations (SPDEs), which are partial differential equations having stochastic terms such as a space-time Gaussian ...
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On martingale solutions of stochastic partial differential equations with Lévy noise
Theory of Probability and Mathematical Statistics, 2021V. Mandrekar, U. Naik-Nimbalkar
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Stochastic Partial Differential Equations
2007Preliminaries Introduction Some Examples Brownian Motions and Martingales Stochastic Integrals Stochastic Differential Equations of Ito Type Levy Processes and Stochastic Integrals Stochastic Differential Equations of Levy Type Comments Scalar Equations of First Order Introduction Generalized Ito's Formula Linear Stochastic Equations Quasilinear ...
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