Asymptotic property of solutions to the random Cauchy problem for wave equations

DOI10.1007/BF00417462zbMath0595.60064MaRDI QIDQ1077818

Isamu Dôku

Publication date: 1986

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

equipartition of stochastic energyrandom wave equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Linear differential equations in abstract spaces (34G10)

Cites Work

• Spectral theory for the wave equation with a potential term
• Time dependent hyperbolic equations
• An asymptotic property of solutions of wave equations. II
• Functions whose Fourier-Stieltjes coefficients approach zero
• Random evolutions are asymptotically gaussian
• Applications of Function Space Integrals to Problems in Wave Propagation in Random Media
• On Singular Fourier-Stieltjes Transforms

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