The Osgood condition for stochastic partial differential equations

DOI10.3150/20-BEJ1240zbMath1472.60100arXiv1907.12096WikidataQ115223033 ScholiaQ115223033MaRDI QIDQ2214248

Eulalia Nualart, Mohammud Foondun

Publication date: 7 December 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12096

zbMATH Keywords

space-time white noisefractional stochastic heat equationspatial colored noise

Mathematics Subject Classification ID

Heat equation (35K05) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (6)

Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain ⋮ Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain ⋮ Non-existence results for stochastic wave equations in one dimension ⋮ Superlinear stochastic heat equation on ℝ^{𝕕} ⋮ Global well-posedness to stochastic reaction-diffusion equations on the real line \(\mathbb{R}\) with superlinear drifts driven by multiplicative space-time white noise ⋮ Global solutions to stochastic wave equations with superlinear coefficients

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