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20052026
most citedStochastic Porous Media Equation and Self-Organized Criticality

63 citations · 244 across the 55 of their papers we have counts for

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Showing 2014Show all

7 papers · 1 filter

math.AP2014★ 5 cited

Nonlinear parabolic flows with dynamic flux on the boundary

Viorel Barbu, Angelo Favini, Gabriela Marinoschi

A nonlinear divergence parabolic equation with dynamic boundary conditions of Wentzell type is studied. The existence and uniqueness of a strong solution is obtained as the limit o…

math.AP2014★ 3 cited

Nonlinear Diffusion equations in image processing

Viorel Barbu

THis work is a survey of a few nonlinear PDE based models in image restoring.

math.PR2014★ 5 cited

Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case

Viorel Barbu, Michael Röckner, Deng Zhang

This paper is devoted to the study of noise effects on blow-up solutions to stochastic nonlinear Schrödinger equations. It is a continuation of our recent work \cite{BRZ14}, where…

math.PR2014

Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise

V. Barbu, M. Röckner

One proves here the backward uniqueness of solutions to stochastic semilinear parabolic equations and also for the tamed Navier-Stokes equations driven by linearly multiplicative G…

math.PR2014★ 9 cited

A stochastic Fokker-Planck equation and double probabilistic representation for the stochastic porous media type equation

Viorel Barbu, Michael Röckner, Francesco Russo

The purpose of the present paper consists in proposing and discussing a double probabilistic representation for a porous media equation in the whole space perturbed by a multiplica…

math.PR2014★ 9 cited

Stochastic nonlinear Schrödinger equations

Viorel Barbu, Michael Röckner, Deng Zhang

This paper is devoted to the well-posedness of stochastic nonlinear Schrödinger equations in the energy space H1(Rd), which is a natural continuation of our recent work [1]. We con…