[HTML][HTML] Existence, uniqueness and regularity for a class of semilinear stochastic Volterra equations with multiplicative noise
We consider a class of semilinear Volterra type stochastic evolution equation driven by
multiplicative Gaussian noise. The memory kernel, not necessarily analytic, is such that the …
multiplicative Gaussian noise. The memory kernel, not necessarily analytic, is such that the …
The short memory limit for long time statistics in a stochastic Coleman-Gurtin model of heat conduction
We study a class of semi-linear differential Volterra equations with polynomial-type
potentials that incorporates the effects of memory while being subjected to random …
potentials that incorporates the effects of memory while being subjected to random …
Existence and asymptotic behavior for hereditary stochastic evolution equations
V Barbu, S Bonaccorsi, L Tubaro - Applied Mathematics & Optimization, 2014 - Springer
Existence and asymptotic behavior of nonlinear evolution equations with memory in the
maximal order term, driven by additive or multiplicative Wiener stochastic processes, are …
maximal order term, driven by additive or multiplicative Wiener stochastic processes, are …
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise
We investigate the quality of space approximation of a class of stochastic integral equations
of convolution type with Gaussian noise. Such equations arise, for example, when …
of convolution type with Gaussian noise. Such equations arise, for example, when …
Stochastic integrodifferential equations in Hilbert spaces with applications in electromagnetics
In this work we present some results on deterministic and stochastic integrodifferential
equations in Hilbert spaces, motivated from and applied to problems arising from the …
equations in Hilbert spaces, motivated from and applied to problems arising from the …
Asymptotic behavior of a class of nonlinear stochastic heat equations with memory effects
S Bonaccorsi, G Da Prato, L Tubaro - SIAM Journal on Mathematical Analysis, 2012 - SIAM
In this paper we investigate a class of semilinear stochastic Volterra equations which arise in
the theory of heat conduction with memory effects, with dissipative nonlinearities and an …
the theory of heat conduction with memory effects, with dissipative nonlinearities and an …
Existence and higher regularity of statistically steady states for the stochastic Coleman-Gurtin equation
NE Glatt-Holtz, VR Martinez, HD Nguyen - arXiv preprint arXiv:2411.02459, 2024 - arxiv.org
We study a class of semi-linear differential Volterra equations with polynomial-type
potentials that incorporates the effects of memory while being subjected to random …
potentials that incorporates the effects of memory while being subjected to random …
The invariant measure of a walking droplet in hydrodynamic pilot–wave theory
We study the long time statistics of a walker in a hydrodynamic pilot-wave system, which is a
stochastic Langevin dynamics with an external potential and memory kernel. While prior …
stochastic Langevin dynamics with an external potential and memory kernel. While prior …
Global solutions to stochastic Volterra equations driven by Lévy noise
E Hausenblas, M Kovács - Fractional calculus and applied analysis, 2018 - degruyter.com
In this paper we investigate the existence and uniqueness of semilinear stochastic Volterra
equations driven by multiplicative Lévy noise of pure jump type. In particular, we consider …
equations driven by multiplicative Lévy noise of pure jump type. In particular, we consider …
Volterra equations in Banach spaces with completely monotone kernels
S Bonaccorsi, G Desch - Nonlinear Differential Equations and Applications …, 2013 - Springer
We consider a class of infinite delay equations in Banach spaces that models arising in the
theory of viscoelasticity, for instance. The equation involves a completely monotone …
theory of viscoelasticity, for instance. The equation involves a completely monotone …