On the behavior of solutions to certain parabolic SPDE's driven by Wiener processes.
From MaRDI portal
Publication:1879534
DOI10.1016/S0304-4149(00)00082-XzbMath1047.60062OpenAlexW2106187863MaRDI QIDQ1879534
Benjamin Bergé, Pierre-A. Vuillermot, Igor D. Chueshov
Publication date: 22 September 2004
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4149(00)00082-x
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)
Related Items (9)
Variational solutions for partial differential equations driven by a fractional noise ⋮ Non-random Invariant Sets for Some Systems of Parabolic Stochastic Partial Differential Equations ⋮ Stochastic Partial Differential Equations in Neurobiology: Linear and Nonlinear Models for Spiking Neurons ⋮ On the time evolution of Bernstein processes associated with a class of parabolic equations ⋮ The Stampacchia maximum principle for stochastic partial differential equations and applications ⋮ Almost sure exponential behaviour for a parabolic SPDE on a manifold. ⋮ Finite-time blowup and existence of global positive solutions of a semi-linear SPDE ⋮ Variational solutions for a class of fractional stochastic partial differential equations ⋮ On the long-time behaviour of a class of parabolic SPDE's: monotonicity methods and exchange of stability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proprietà di alcune classi di funzioni in più variabili
- Random environments and stochastic calculus
- Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses
- Almost-periodic attractors for a class of nonautonomous reaction- diffusion equations on \(\mathbb{R}{}^ N\). I: Global stabilization processes
- Almost-periodic attractors for a class of nonautonomous reaction- diffusion equations on \(\mathbb{R}^ N\). II. Codimension-one stable manifolds
- Comparison methods for a class of function valued stochastic partial differential equations
- A diffusion model for population growth in random environment
- A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing
- A selection-migration model in population genetics
- The effects of random selection on gene frequency
- A comparison theorem for solutions of stochastic differential equations and its applications
- Large-time asymptotic equivalence for a class of non-autonomous semilinear parabolic equations
- Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Stratonovitch's case
- On the long time behavior of the stochastic heat equation
- Limit Gaussian behavior of the solutions of the multidimensional Burger's equation with weak-dependent initial conditions
- Random attractors
- Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients
- Strict positivity for stochastic heat equations
- Exponential stability of non-linear stochastic evolution equations
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Ergodicity of the 2-D Navier-Stokes equation under random perturbations
- Stochastic stability and control
- Qualitative properties for the stochastic Navier-Stokes equation
- Stochastic partial differential equations and filtering of diffusion processes
- Global Exponential Attractors for a Class of Almost-Periodic Parabolic Equations in ℝ N
- Stochastic evolution equations in
- Order-preserving random dynamical systems: equilibria, attractors, applications
- Lyapunov exponents and stability for nonlinear SPDE's driven by finite-dimensional Wiener processes
- Almost-periodic attractors for a class of nonautonomous reaction-diffusion equations on N—III. Center curves and liapounov stability
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- On the finite dimensionality of random attractors1
- Stationary solutions of nonlinear stochastic evolution equations1
- Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: itô's case
- Stability of solution to semilinear stochastic evolution equations
- Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces
- Stochastic evolution equations
- Stochastic Burgers' equation
- Stochastic Equations in Infinite Dimensions
This page was built for publication: On the behavior of solutions to certain parabolic SPDE's driven by Wiener processes.