paper

Heat equation with a general stochastic measure on nested fractals

arXiv:1208.0445 · doi:10.1016/j.spl.2011.12.013

Abstract

A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3.

8 pages

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Heat equation with a general stochastic measure on nested fractals · wovepaper