Boundary-Value problems with random initial conditions and functional series from subφ (Ω). I

DOI10.1007/BF02487389zbMath0945.60058OpenAlexW2030997677MaRDI QIDQ4705245

Yu. A. Koval'Chuk, Yuriy Vasil'ovich Kozachenko

Publication date: 19 December 1999

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02487389

zbMATH Keywords

Orlicz spaceboundary-value problemsfunctional seriesstrongly \(\text{sub}_{\varphi}(\Omega)\) stochastic processes

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (11)

On the distribution of storage processes from the class $V(𝜙,𝜓)$ ⋮ Whittaker-Kotel'nikov-Shannon approximation of \(\phi\)-sub-Gaussian random processes ⋮ A multiplicative wavelet-based model for simulation of a random process ⋮ Extremal behavior of the heat random field ⋮ Application of $$\varphi$$ -Sub-Gaussian Random Processes in Queueing Theory ⋮ A bound for norms in \(L_p(T)\) of deviations of \(\varphi\)-sub-Gaussian stochastic processes ⋮ 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 ⋮ Generalized sub-Gaussian fractional Brownian motion queueing model ⋮ Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions ⋮ Convergence in \(L_{p}([0, T)\) of wavelet expansions of \(\varphi\)-sub-Gaussian random processes]

This page was built for publication: Boundary-Value problems with random initial conditions and functional series from subφ (Ω). I