# On smoothness of a fundamental solution to a second order hyperbolic equation

@article{Romanov2009OnSO, title={On smoothness of a fundamental solution to a second order hyperbolic equation}, author={Vladimir G. Romanov}, journal={Siberian Mathematical Journal}, year={2009}, volume={50}, pages={700-705} }

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 ∈ ℝn. 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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