Lifshits Tails for Squared Potentials
, 2018 We consider Schr\"odinger operators with a random potential which is the square of an alloy-type potential. We investigate their integrated density of states and prove Lifshits tails.
Kirsch, Werner, Raikov, Georgi
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Well-posedness of the non-local conservation law by stochastic perturbation
, 2019 Stochastic non-local conservation law equation in the presence of discontinuous flux functions is considered in an $L^{1}\cap L^{2}$ setting. The flux function is assumed bounded and integrable (spatial variable).
Olivera, Christian
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Strict solutions to stochastic parabolic evolution equations in M-type 2 Banach spaces
, 2017 We study a stochastic linear evolution equation $dX+A(t)Xdt=F(t)dt+ G(t)dw_t$ in a Banach space of M-type 2. We construct unique strict solutions to the equation on the basis of the theory of deterministic linear evolution equations. The abstract results
Ta, Ton Viet +2 more
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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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Some non-linear s.p.d.e.'s that are second order in time
, 2002 We extend Walsh's theory of martingale measures in order to deal with hyperbolic stochastic partial differential equations that are second order in time, such as the wave equation and the beam equation, and driven by spatially homogeneous Gaussian noise.
Dalang, Robert C., Mueller, Carl
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Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Appl Math Optim, 2021 Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc +1 more source
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation. [PDF]
J Nonlinear Sci, 2021 Scarpa L.
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