Periodic Solutions of the Korteweg--de Vries Equation Driven by White Noise

DOI10.1137/S0036141003425301zbMath1075.35121MaRDI QIDQ4652496

Arnaud Debussche, Yoshio Tsutsumi, Anne de Bouard

Publication date: 28 February 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Brownian motionstochastic partial differential equationsBesov spacesperiodic boundary conditionswhite noiseKorteweg-de Vries equationlocal existence and uniqueness

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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