Cover Image

Multiscaling asymptotic behavior of solutions to random high-order heat equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alghamdi, Maha Mosaad A, Leonenko, Nikolai, Olenko, Andriy
Format:	Preprint
Published:	2025
Subjects:	Probability Analysis of PDEs 60F05, 60H15, 60G60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On asymptotic behavior of solutions to random fractional Riesz-Bessel equations with cyclic long memory initial conditions
by: Alghamdi, Maha Mosaad A., et al.
Published: (2025)

Multiscale Asymptotic Analysis of Kernel-Smoothed Solutions to Fractional Riesz-Bessel Equations with Random Initial Conditions
by: Khan, Shahid, et al.
Published: (2026)

Central limit theorem for the Allen-Cahn equation with supercritical random initial conditions
by: Piernot, Colin, et al.
Published: (2026)

Central limit theorems for stochastic wave equations in high dimensions
by: Ebina, Masahisa
Published: (2023)

Existence of weak solutions to stochastic heat equations driven by truncated $α$-stable white noises with non-Lipschitz coefficients
by: Wang, Yongjin, et al.
Published: (2022)

Stochastic wave equation with additive fractional noise: solvability and global Hölder continuity
by: Liu, Shuhui, et al.
Published: (2023)

Fractional Stochastic Partial Differential Equation for Random Tangent Fields on the Sphere
by: Anh, Vo V., et al.
Published: (2021)

Moderate Deviations for a Stochastic Schrödinger Equation with Linear Drift
by: Fatheddin, Parisa, et al.
Published: (2023)

Central limit theorems for nonlinear stochastic wave equations in dimension three
by: Ebina, Masahisa
Published: (2022)

Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function
by: Leonenko, Nikolai, et al.
Published: (2026)

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems
by: Ancona, Michele, et al.
Published: (2025)

Analytically weak and mild solutions to stochastic heat equation with irregular drift
by: Athreya, Siva, et al.
Published: (2024)

Quantitative bounds for high-dimensional non-linear functionals of Gaussian processes
by: Basse-O'Connor, Andreas, et al.
Published: (2025)

An interpolation of discrete rough differential equations and its applications to analysis of error distributions
by: Aida, Shigeki, et al.
Published: (2023)

Berry-Esséen bound for complex Wiener-Itô integral
by: Chen, Huiping, et al.
Published: (2024)

Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation
by: Gussetti, Emanuela, et al.
Published: (2025)

Convergence of stochastic integrals with applications to transport equations and conservation laws with noise
by: Karlsen, Kenneth H., et al.
Published: (2024)

A note on Tricomi-type partial differential equations with white noise initial condition
by: Bernardi, Enrico, et al.
Published: (2025)

On the support of solutions to nonlinear stochastic heat equations
by: Han, Beom-Seok, et al.
Published: (2024)

A quantitative CLT on a finite sum of Wiener chaoses and applications to ratios of Gaussian functionals
by: Es-Sebaiy, Khalifa
Published: (2024)

Optimal local central limit theorems on Wiener chaos
by: Ebina, Masahisa, et al.
Published: (2025)

Hölder estimates and weak convergences of certain weighted sum processes
by: Aida, Shigeki, et al.
Published: (2024)

Stable limit theorems on the Poisson space
by: Herry, Ronan
Published: (2019)

Sharp supremum and Hölder bounds for stochastic integrals indexed by a parameter
by: Cox, Sonja, et al.
Published: (2024)

Small-time central limit theorems for stochastic Volterra integral equations and their Markovian lifts
by: Friesen, Martin, et al.
Published: (2024)

Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
by: Bignamini, D. A., et al.
Published: (2020)

On the existence, uniqueness and stability of solutions of SDEs with state-dependent variable exponent
by: Avci, Mustafa
Published: (2025)

Exponential dimensional dependence in high-dimensional Hermite method of moments
by: Basse-O'Connor, Andreas, et al.
Published: (2025)

Gaussian heat kernel asymptotics for conditioned random walks
by: Grama, Ion, et al.
Published: (2024)

Multiple and weak Markov properties in Hilbert spaces with applications to fractional stochastic evolution equations
by: Kirchner, Kristin, et al.
Published: (2023)

On the convex hull of two planar random walks
by: Ivanković, Daniela, et al.
Published: (2024)

On the geometric Brownian motion with state-dependent variable exponent diffusion term
by: Avci, Mustafa
Published: (2025)

Existence results for the Cox-Ingersoll-Ross model with variable exponent diffusion
by: Avci, Mustafa
Published: (2025)

Martingale Solutions of Fractional Stochastic Reaction-Diffusion Equations Driven by Superlinear Noise
by: Wang, Bixiang
Published: (2025)

Temporal quartic variation for non-linear stochastic heat equations with piecewise constant coefficients
by: Li, Yongkang, et al.
Published: (2024)

Propagation of Singularities for the Damped Stochastic Klein-Gordon Equation
by: Chen, Hongyi, et al.
Published: (2025)

New approach to optimal control of delayed stochastic Volterra integral equations
by: Konan, Roméo Kouassi, et al.
Published: (2026)

A SIR epidemic model on a refining spatial grid II-Central limit theorem
by: Gallouët, Thierry, et al.
Published: (2024)

First order equation on random measures as superposition of weak solutions to the McKean-Vlasov equation
by: Pinzi, Alessandro
Published: (2025)

A general correlation inequality for level sets of sums of independent random variables using the Bernoulli part with applications to the almost sure local limit theorem
by: Weber, Michel J. G.
Published: (2023)