On smoothness of a fundamental solution to a secon

Authors: V G Romanov

Publish Date: 2009/08/11

Volume: 50, Issue: 4, Pages: 700-705

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Abstract

We consider the problem of constructing a fundamental solution to a second order hyperbolic linear equation with variable coefficients depending on the space variable x ∈ ℝ n Under the assumption of high but finite smoothness of the coefficients we write out the structure of a fundamental solution establish smoothness of the coefficients of the expansion of its singular part and characterize smoothness of the regular part

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