scientific article; zbMATH DE number 5055403

zbMath1106.35152MaRDI QIDQ5488427

Ganna I. Slyvka, Yuriy Vasil'ovich Kozachenko

Publication date: 19 September 2006

Full work available at URL: http://www.ams.org/tpms/2004-69-00/S0094-9000-05-00615-0/home.html

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zbMATH Keywords

existenceCauchy problemFourier methodrandom initial condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Signal detection and filtering (aspects of stochastic processes) (60G35) PDEs with randomness, stochastic partial differential equations (35R60) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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On the solutions of linear odd-order heat-type equations with random initial conditions ⋮ Investigation of sample paths properties for some classes of \(\varphi \)-sub-Gaussian stochastic processes ⋮ Estimates for functionals of solutions to higher-order heat-type equations with random initial conditions ⋮ An application of \(\varphi\)-subgaussian technique to Fourier analysis ⋮ Accuracy and reliability of a model of an isotropic and homogeneous Gaussian random field in the space $C(\mathbb {T})$

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