Cover Image

On the local well-posedness of randomly forced reaction-diffusion equations with $L^2$ initial data and a superlinear reaction term

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Foondun, Mohammud, Khoshnevisan, Davar, Nualart, Eulalia
Format:	Preprint
Published:	2025
Subjects:	Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the well-posedness of SPDEs with locally Lipschitz coefficients
by: Foondun, Mohammud, et al.
Published: (2024)

Points of slow growth for parabolic SPDEs
by: Khoshnevisan, Davar, et al.
Published: (2025)

On the passage times of self-similar Gaussian processes on curved boundaries
by: Khoshnevisan, Davar, et al.
Published: (2025)

On the slow points of fractional Brownian motion
by: Khoshnevisan, Davar, et al.
Published: (2026)

$L^2$-solutions to stochastic reaction-diffusion equations with superlinear drifts driven by space-time white noise^
by: Shang, Shijie, et al.
Published: (2025)

An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source
by: Khoshnevisan, Davar, et al.
Published: (2025)

Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings
by: Nualart, Eulalia, et al.
Published: (2025)

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data
by: Castillo, Bryan, et al.
Published: (2025)

Global solutions to the stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative noise
by: Salins, Michael
Published: (2024)

Long-term behavior of nonlocal reaction-diffusion equation under small random perturbations
by: Gui, Xiuling, et al.
Published: (2025)

Positive probability of explosion for stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative noise
by: Salins, Michael, et al.
Published: (2026)

Uniform dimension theorems for parabolic SPDEs
by: Khoshnevisan, Davar, et al.
Published: (2025)

Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass
by: Milesis, Dionysis, et al.
Published: (2026)

Regularisation by multiplicative noise for reaction-diffusion equations
by: Dareiotis, Konstantinos, et al.
Published: (2024)

Stochastic wave equations with constraints: well-posedness and Smoluchowski-Kramers diffusion approximation
by: Cerrai, Sandra, et al.
Published: (2023)

Wave propagation for 1-dimensional reaction-diffusion equations with nonzero random drift
by: Guan, Dihang, et al.
Published: (2025)

The ergodic theory of SPDEs in a weak-noise regime
by: Joseph, Mathew, et al.
Published: (2026)

Stochastic and deterministic non-autonomous reaction-diffusion equations
by: Bignamini, Davide A., et al.
Published: (2025)

The dynamics of front propagation in nonlocal reaction-diffusion equations
by: Roquejoffre, Jean-Michel
Published: (2022)

Gaussian fluctuations of spatial averages of a system of stochastic heat equations
by: Nualart, David, et al.
Published: (2022)

Fast convergence rates for estimating the stationary density in SDEs driven by a fractional Brownian motion with semi-contractive drift
by: Amorino, Chiara, et al.
Published: (2024)

Well-posedness of the relaxed Electron MHD equations with random diffusion
by: Hu, Ruimeng, et al.
Published: (2025)

Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems
by: Agresti, Antonio, et al.
Published: (2023)

Numerical approximation of the stochastic heat equation with a distributional reaction term
by: Goudenège, Ludovic, et al.
Published: (2024)

Quantitative instability for stochastic scalar reaction-diffusion equations
by: Blessing, Alexandra, et al.
Published: (2024)

A Dean-Kawasaki equation for reaction diffusion systems driven by Poisson noise
by: Spinney, Richard E., et al.
Published: (2024)

On the well-posedness of a class of McKean Feynman-Kac equations
by: Lieber, Jonas, et al.
Published: (2018)

Critical dynamical fluctuations in reaction-diffusion processes
by: Dagallier, Benoit, et al.
Published: (2025)

Moderate deviation principles for a reaction diffusion model in non-equilibrium
by: Zhao, Linjie
Published: (2024)

Well-posedness of a reaction-diffusion model with stochastic dynamical boundary conditions
by: Maurelli, Mario, et al.
Published: (2023)

Blowup for the multiplicative stochastic heat equation with superlinear drift
by: Joseph, Mathew, et al.
Published: (2025)

Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line
by: Dalang, Robert C., et al.
Published: (2025)

Well-posedness and large deviations of fractional McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains
by: Chen, Zhang, et al.
Published: (2024)

Local well-posedness of subcritical non-linear heat equations with Gaussian initial data
by: Chevyrev, Ilya, et al.
Published: (2024)

Gradient flow structure, well-posedness and asymptotic behavior of Fokker-Planck equation on locally finite graphs
by: Wang, Cong
Published: (2025)

Uniform measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded thin domain
by: Zeng, Tianhao, et al.
Published: (2024)

Stochastic wave equation with Hölder noise coefficient: well-posedness and small mass limit
by: Han, Yi
Published: (2023)

Branching Brownian motion with rank-based selection and reaction-diffusion equations
by: Mercer, Jacob
Published: (2026)

Well-posedness of stochastic mSQG equations with Kraichnan noise and $L^p$ data
by: Jiao, Shuaijie, et al.
Published: (2024)

Global well-posedness and small time asymptotics of stochastic Ladyzhenskaya-Smagorinsky equations with damping on unbounded domains
by: Kumar, Ankit, et al.
Published: (2021)