Global and non-global solutions of a fractional reaction-diffusion equation perturbed by a fractional noise

DOI10.1080/07362994.2020.1751659zbMath1459.35411OpenAlexW3023732756MaRDI QIDQ4965505

Jose Alfredo Lopez Mimbela, Ekaterina Todorova Kolkovska, Marco E. Dozzi

Publication date: 2 March 2021

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2020.1751659

zbMATH Keywords

fractional noisefractional Laplacianfinite-time blowupstochastic reaction-diffusion equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (2)

Large time behaviour of semilinear stochastic partial differential equations perturbed by a mixture of Brownian and fractional Brownian motions ⋮ A stochastic parabolic model of MEMS driven by fractional Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Impacts of Gaussian noises on the blow-up times of nonlinear stochastic partial differential equations
• Explosive solutions of stochastic reaction-diffusion equations in mean \(L^p\)-norm
• Semilinear stochastic equations with bilinear fractional noise
• Finite-time blowup and existence of global positive solutions of a semi-linear SPDE
• Semigroups of linear operators and applications to partial differential equations
• Existence and non-existence of global solutions for a semilinear heat equation
• On nonexistence of global solutions for some nonlinear integral equations
• Equivalence and Hölder-Sobolev regularity of solutions for a class of non-autonomous stochastic partial differential equations
• Pointwise eigenfunction estimates and mean \(L^p\)-norm blowup of a system of semilinear SPDEs with symmetric Lévy generators
• Uniqueness and blow-up for a stochastic viscous dyadic model
• Finite-Time Blowup and Existence of Global Positive Solutions of a Semi-linear Stochastic Partial Differential Equation with Fractional Noise
• Blowup estimates for a family of semilinear SPDEs with time-dependent coefficients
• A DIRECT SOLUTION TO THE FOKKER–PLANCK EQUATION FOR EXPONENTIAL BROWNIAN FUNCTIONALS
• The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding
• Stochastic Partial Differential Equations with Levy Noise
• Probabilistic Treatment of the Blowing up of Solutions for a Nonlinear Integral Equation
• Exponential functionals of Brownian motion and related processes

This page was built for publication: Global and non-global solutions of a fractional reaction-diffusion equation perturbed by a fractional noise