Geodesic
A growth estimate for continuous random fields
Mathematica Bohemica, Tome 121 (1996) no. 4, pp. 397-413
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We prove a polynomial growth estimate for random fields satisfying the Kolmogorov continuity test. As an application we are able to estimate the growth of the solution to the Cauchy problem for a stochastic diffusion equation.
We prove a polynomial growth estimate for random fields satisfying the Kolmogorov continuity test. As an application we are able to estimate the growth of the solution to the Cauchy problem for a stochastic diffusion equation.
DOI : 10.21136/MB.1996.126035
Classification : 60G15, 60G17, 60G60, 60H15
Keywords: asymptotic behaviour of paths; Wiener field; stochastic diffusion equation 
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Manthey, Ralf; Mittmann, Katrin. A growth estimate for continuous random fields. Mathematica Bohemica, Tome 121 (1996) no. 4, pp. 397-413. doi: 10.21136/MB.1996.126035

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