Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures
From MaRDI portal
Publication:5414825
DOI10.1063/1.4867614zbMath1297.60042OpenAlexW1976580465MaRDI QIDQ5414825
Publication date: 7 May 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4867614
Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (3)
A general stability result for second order stochastic quasilinear evolution equations with memory ⋮ Stationary distributions of second order stochastic evolution equations with memory in Hilbert spaces ⋮ The finite speed of propagation for solutions to stochastic viscoelastic wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic wave equation of pure jumps: Existence, uniqueness and invariant measures
- On rigid linear heat conductors with memory
- Stochastic wave equations with memory
- Maximal regularity for stochastic convolutions driven by Lévy processes
- Stochastic evolution equations of jump type: Existence, uniqueness and large deviation princi\-ples
- One-dimensional stochastic Burgers equation driven by Lévy processes
- Semimartingales: A course on stochastic processes
- On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
- An integrodifferential equation for rigid heat conductors with memory
- Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces
- Decay estimates for second order evolution equations with memory
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- EXPLOSIVE SOLUTIONS OF STOCHASTIC VISCOELASTIC WAVE EQUATIONS WITH DAMPING
- Thermodynamic properties and stability for the heat flux equation with linear memory
- An estimate of Burkholder type for stochastic processes defined by the stochastic integral
- ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
- Itô formula for stochastic integrals w.r.t. compensated Poisson random measures on separable Banach spaces
- Time optimal boundary controllability of a simple linear viscoelastic liquid
- On stochastic equations with respect to semimartingales I.†
- On stochastic squations with respect to semimartingales III
- Existence and uniform rates of decay of contant problems in viscoelasticity
- Asymptotic behaviour of the energy in partially viscoelastic materials
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- On abstract stochastic differential equation in hilbert spaces with dissipative drift
- Stochastic integration with respect to compensated Poisson random measures on separable Banach spaces
- Stochastic Partial Differential Equations with Levy Noise
- Controllability of the heat equation with memory
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures
