Geodesic
A probabilistic approach to a solution of nonlinear parabolic
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 4, pp. 625-652 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a probabilistic representation of the Cauchy problem solution for a system of nonlinear parabolic equations and give the conditions which guarantee that this representation can be applied to construct and investigate a solution of the Cauchy problem for a system of nonlinear hyperbolic equations. As an example, we consider the system of gas dynamic equations and its parabolic regularization.
Mots-clés : diffusion processes
Keywords: multiplicative operator functionals, systems of nonlinear parabolic and hyperbolic equations, vanishing viscosity methodю. 
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Ya. I. Belopol'skaya. A probabilistic approach to a solution of nonlinear parabolic. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 4, pp. 625-652. http://geodesic.mathdoc.fr/item/TVP_2004_49_4_a0/

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