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Sobolev inequality

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Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Sobolev inequality

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Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Stability of Image-Reconstruction Algorithms

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Localization errors of the stochastic heat equation

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

MATHICSE Technical Report : Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem

Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem

On long time behavior of solutions to nonlinear dispersive equations

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

Normal approximation of the solution to the stochastic heat equation with Levy noise

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Stability of Image-Reconstruction Algorithms

Normal approximation of the solution to the stochastic heat equation with Levy noise

Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

MATHICSE Technical Report : Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem

Localization errors of the stochastic heat equation

On long time behavior of solutions to nonlinear dispersive equations