Dense blowup for parabolic SPDEs

DOI10.1214/19-EJP372zbMath1427.35379arXiv1702.08374OpenAlexW2987366495MaRDI QIDQ2279311

Le Chen, Kunwoo Kim, Jingyu Huang, Davar Khoshnevisan

Publication date: 12 December 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08374

zbMATH Keywords

stochastic partial differential equationsblowupintermittency

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44)

Related Items

The Compact Support Property for Solutions to the Stochastic Partial Differential Equations with Colored Noise ⋮ Hölder continuity of solutions to the Dirichlet problem for SPDEs with spatially correlated noise

Uses Software

• DLMF

Cites Work

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• Solving the KPZ equation
• On the chaotic character of the stochastic heat equation. II
• A theory of regularity structures
• Analysis of the gradient of the solution to a stochastic heat equation via fractional Brownian motion
• A Wong-Zakai theorem for stochastic PDEs
• Stochastic heat equation driven by fractional noise and local time
• The Brunn-Minkowski inequality in Gauss space
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• The stochastic wave equation in two spatial dimensions
• Regularity and irregularity of \((1+\beta)\)-stable super-Brownian motion
• Comparison principle for stochastic heat equation on \(\mathbb{R}^{d}\)
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Régularité de processus gaussiens
• A local-time correspondence for stochastic partial differential equations
• Second-order hyperbolic s.p.d.e.’s driven by homogeneous Gaussian noise on a hyperplane
• On the support of solutions to the heat equation with noise
• Multiparameter Processes
• Weak unimodality of finite measures, and an application to potential theory of additive Lévy processes
• On the stochastic heat equation with spatially-colored random forcing
• Markov Processes, Gaussian Processes, and Local Times
• First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
• Bernstein functions. Theory and applications