On regularized solution for BBGKY hierarchy of one-dimensional infinite system.

Ryabukha, Tatiana V.

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Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil

Yordanov, Russi (1998)

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Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).

Hilbert space valued generalized random processes. II.

Seleši, Dora (2007)

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This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.

On respresentation of derivatives of functions in $L_{p}$

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The dual space of the sequence space $b v_{p}$ $(1 \leq p < \infty)$ .

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Fundamental operator-valued functions of singular differential operators in Banach spaces.

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