Representation of solutions of the Burgers equation using functional integrals

DOI10.1134/S1061920809040050zbMath1186.35188MaRDI QIDQ2655917

S. E. Matskevich

Publication date: 27 January 2010

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Burgers equationWiener measureCole-Hopf transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Integral representations of solutions to PDEs (35C15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

BURGERS EQUATION AND KOLMOGOROV–PETROVSKY–PISKUNOV EQUATION ON MANIFOLDS

Cites Work

• The stochastic Burgers equation
• Stochastic heat and Burgers equations and their singularities. I. Geometrical properties
• The partial differential equation u_t + uu_x = μ_xx
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