Heat equation with a general stochastic measure on nested fractals

DOI10.1016/j.spl.2011.12.013zbMath1241.60031arXiv1208.0445OpenAlexW2051122983MaRDI QIDQ419205

Martina Zähle, Vadym M. Radchenko

Publication date: 18 May 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0445

zbMATH Keywords

stochastic heat equationmild solutionstochastic measurenested fractalstochastic equation on fractals

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57)

Related Items (3)

Heat equation with general stochastic measure colored in time ⋮ Stochastic Partial Differential Equations Driven by General Stochastic Measures ⋮ Heat equation in a multidimensional domain with a general stochastic measure

Cites Work

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• A diffusion defined on a fractal state space
• Estimates of transition densities for Brownian motion of nested fractals
• Spectral analysis of Laplacians on the Vicsek set
• A concise course on stochastic partial differential equations
• Integrals with Respect to Random Measures and Random Linear Functionals
• Mild solution of the heat equation with a general stochastic measure
• Brownian motion on nested fractals

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