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Estimates for Functionals of Solutions to Higher-Order Heat-Type Equations with Random Initial Conditions
- Source :
- Journal of Statistical Physics. 172:1641-1662
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- In the present paper we continue the investigation of solutions to higher-order heat-type equations with random initial conditions, which play the important role in many applied areas. We consider the random initial conditions given by harmonizable $$\varphi $$ -sub-Gaussian processes. The main results are the bounds for the distributions of the suprema over bounded and unbounded domains for solutions of such equations. The results obtained in the paper hold, in particular, for the case of Gaussian initial condition.
- Subjects :
- Gaussian
Probability (math.PR)
010102 general mathematics
Order (ring theory)
Statistical and Nonlinear Physics
Type (model theory)
01 natural sciences
010104 statistics & probability
symbols.namesake
Bounded function
FOS: Mathematics
symbols
Applied mathematics
Initial value problem
0101 mathematics
Mathematics - Probability
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 15729613 and 00224715
- Volume :
- 172
- Database :
- OpenAIRE
- Journal :
- Journal of Statistical Physics
- Accession number :
- edsair.doi.dedup.....eb81e5bd3752ded3eb8ba16d55230783