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The construction of homogeneous statistical solutions in [VF1], [VF2] is based on Galerkin approximations of measures that are supported by divergence free periodic vector fields
The theorem on expansion of an arbitrary H¨older class function in eigen functions of the in- tegral equation depending on both the parameter and the singular operator is proved..
Using the potential method and the theory of singular integral equa- tions with discontinuous coefficients, the existence of a solution of the mixed boundary value problem is
Key words and phrases : Outer functions, proper moving average repre- sentations, stationary random fields.. Vakhania has been interested in the area of Prediction Theory and
The second term of the asymptotics of the monodromy map of monodromic singular point for some class of vector fields, Newton diagram of which consists of two even edges is computed;
In this paper, we are interested in the one-dimensional porous medium equation when the initial condition is the distribution function of a probability measure. We associate a
Hsiao, Weak solvability of interior transmission prob- lems via mixed finite elements and Dirichlet-to-.. Neumann mappings 145
We use an approach developed in Lin and Willmot (1999), under which the solution to a defective renewal equation is expressed in terms of a compound geometric tail, to derive
