Quantitative thermo-acoustic imaging: An exact reconstruction formula
, 2012 This paper aims to mathematically advance the field of quantitative thermo-acoustic imaging. Given several electromagnetic data sets, we establish for the first time an analytical formula for reconstructing the absorption coefficient from thermal energy ...
Ammari, Habib +3 more
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Predictability of the Burgers dynamics under model uncertainty
, 2006 Complex systems may be subject to various uncertainties. A great effort has been concentrated on predicting the dynamics under uncertainty in initial conditions.
Blömker, Dirk, Duan, Jinqiao
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Sub- and Super-solutions of a Nonlinear PDE, and Application to a Semilinear SPDE [PDF]
, 2013 2010 Mathematics Subject Classification: 35R60, 60H15, 74H35.We obtain upper and lower bounds for the explosion time of a semi-linear heat equation on a bounded $d$-dimensional domain, perturbed by white noise. The bounds we get are expressed in terms of
Kolkovska, E. T., López-Mimbela, J. A.
core
A comparison theorem for backward SPDEs with jumps
, 2014 In this paper we obtain a comparison theorem for backward stochastic partial differential equation (SPDEs) with jumps. We apply it to introduce space-dependent convex risk measures as a model for risk in large systems of interacting ...
Sulem, Agnès +2 more
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Some variance reduction methods for numerical stochastic homogenization
, 2015 We overview a series of recent works devoted to variance reduction techniques for numerical stochastic homogenization. Numerical homogenization requires solving a set of problems at the micro scale, the so-called corrector problems.
Blanc, Xavier +2 more
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The L^p-Poincar\'e inequality for analytic Ornstein-Uhlenbeck operators [PDF]
, 2014 Consider the linear stochastic evolution equation dU(t) = AU(t) + dW_H(t), t\ge 0, where A generates a C_0-semigroup on a Banach space E and W_H is a cylindrical Brownian motion in a continuously embedded Hilbert subspace H of E.
van Neerven, Jan
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Global solutions of aggregation equations and other flows with random diffusion. [PDF]
Probab Theory Relat Fields, 2023 Rosenzweig M, Staffilani G.
europepmc +1 more source
Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]
J Math Biol, 2023 Katsaounis D +2 more
europepmc +1 more source
Well-posedness for a stochastic 2D Euler equation with transport noise. [PDF]
Stoch Partial Differ Equ, 2023 Lang O, Crisan D.
europepmc +1 more source
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. [PDF]
Stoch Partial Differ Equ, 2022 Harbrecht H, Schmidlin M.
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