Local L^(p)-solution for semilinear heat equation with fractional noise
classification
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math.PR
keywords
equationfractionalheatlocalsemilinearsolutionsbrowniancoefficients
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We study the $L^{p}$-solutions for the semilinear heat equation with unbounded coefficients and driven by a infinite dimensional fractional Brownian motion with self-similarity parameter $H > 1/2$. Existence and uniqueness of local mild solutions are showed.
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